Namma Kalvi 10th Science Important Study Material TM 221603
Namma Kalvi 10th Science Important Study Material TM 221603
Namma Kalvi 10th Science Important Study Material TM 221603
com
xU kjpg;ngz; 1
xU kjpg;ngz;
1. ,af;f tpjpfs;
I. rupahd tpiliaj; Nju;e;njL
1. fPof
; ;fz;ltw;Ws; epiykk; vjidr; rhHe;jJ
m) nghUspd; vil M) Nfhspd; <Hg;G KLf;fk;
,) nghUspd; epiw <) m kw;Wk; M
2. fzj;jhf;F fPof ; ;fz;ltw;Ws; vjw;Fr; rkkhdJ.(my;yJ) fzj;jhf;F vd;gJ [PTA – 1]
m) ce;j khw;W tPjk; M) tpir kw;Wk; fhy khw;w tPjk;
,) ce;j khw;wk; <) epiw tPj khw;wk;
3. fPof
; z;ltw;wpy; epa+l;ldpd; %d;whk; tpjp vq;F gad;gLfpwJ.
m) Xa;T epiyapYs;s nghUspy; M) ,af;f epiyapYs;s nghUspy;
,) m kw;Wk; M <) rk epiwAs;s nghUl;fspy; kl;Lk;
4. ce;j kjpg;ig y mr;rpYk; fhyj;jpid x mr;rpYk; nfhz;L xU tiuglk;
tiuag;gLfpwJ. ,t;tiugl rha;tpd; kjpg;G
m) fzj;jhf;F tpir M) KLf;fk; ,) tpir <) tpir khw;wtPjk;
5. tpirapd; Row;rp tpisT fPof ; ;fhZk; ve;j tpisahl;by; gad;gLfpwJ.
m) ePr;ry; Nghl;b M) nld;dp]; ,) irf;fps; ge;jak; <) `hf;fp
6. Gtp<Hg;G KLf;fk; g ,d; myF ms MFk;. ,J fPo;f;fz;l myFfspy; vjw;F rkkhFk;.
-2
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xU kjpg;ngz; 3
IV. nghUj;Jf
[PTA – 1]
gFjp I gFjp II tpilfs;
tpil : (M) $w;Wk; fhuzKk; rup> Mdhy; fhuzk; $w;wpid rupahf tpsf;ftpy;iy.
2. $w;W : 'g' ,d; kjpg;G Gtpg;gug;gpy; ,Ue;J cau nry;yTk; Gtpg;gug;gpw;F fpNo
nry;yTk; FiwAk;.
fhuzk; : "g" kjpg;ghdJ Gtpg;gug;gpy; nghUspd; epiwapidr; rhHe;J mikfpwJ.
tpil : (,) $w;W rupahdJ Mdhy; fhuzk; jtW.
$Ljy; tpdh
3. $w;W : ePe;Jk; xUtu; ePupid ifahy; gpd;Ndhf;fp js;Sfpwhu;. ePuhdJ me;j egiu
Kd;Ndhf;fp js;SfpwJ. [PTA – 3]
fhuzk; : xt;nthU tpirf;Fk; rkkhd vjpu; tpid cz;L.
tpil : (m) $w;Wk; fhuzKk; rupahf nghUe;JfpwJ. NkYk; fhuzk; $w;iw rupahf tpsf;FfpwJ.
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4 ntw;wpf;F top - 10Mk; tFg;G mwptpay;
2. xspapay;
I. rupahd tpiliaj; Nju;e;njL
1. A, B,C, D vd;w ehd;F nghUs;fspd; xsp tpyfy; vz;fs; KiwNa 1.31> 1.43> 1.33> 2.4
vdpy;> ,tw;wpy; xspapd; jpirNtfk; ngUkkhf cs;s nghUs; vJ?
m) A M) B ,) C <) D
2. nghUspd; mstpw;F rkkhd> jiyfPohd nka;g;gpk;gk; fpilf;f nghUs; itf;fg;gl
Ntz;ba njhiyT [MAY - 2022]
m) f M) <wpyhj; njhiyT ,) 2f <) f f;Fk; 2f f;Fk; ,ilapy;
3. kpd; tpsf;F xd;W Ftpnyd;R xd;wpd; Kjd;ikf; Ftpaj;jpy; itf;fg;gl;Ls;sJ. kpd;
tpsf;F xspa+l;lg;gLk; NghJ> Ftp nyd;rhdJ [PTA – 3]
m) tpupf;Fk; fw;iwfis cUthf;Fk; M) Ftpf;Fk; fw;iwfis cUthf;Fk;
,) ,izf; fw;iwfis cUthf;Fk; <) epwf; fw;iwfis cUthf;Fk;
4. Ftp nyd;rpd; cUg;ngUf;fkhdJ vg;NghJk; ________ kjpg;GilaJ.
m) NeHf;Fwp M) vjpHf;Fwp ,) NeHf;Fwp (m) vjpHf;Fwp <) Rop
5. xU Ftp nyd;rhdJ> kpfr;rpwpa nka;gpk;gj;ij Kjd;ikf; Ftpaj;jpy; cUthf;fpdhy;>
nghUs; itf;fg;gl;l ,lk; _______
m) Kjd;ikf;Ftpak; M) <wpyhj; njhiyT ,) 2f <) f f;Fk; 2f f;Fk; ,ilapy;
6. xU nyd;rpd; jpwd; −4𝐷 vdpy; mjd; Ftpaj; njhiyT
m) 4 kP M) −40 kP ,) − 𝟎. 𝟐𝟓 kP <) − 25 kP
7. fpl;lg;ghHit Fiwg;ghL cila fz;zpy;> nghUspd; gpk;gkhdJ ______ Njhw;Wtpf;fg;gLfpwJ.
m) tpopj;jpiuf;Fg; gpd;Gwk; M) tpopj;jpiuapd; kPJ
,) tpopj; jpiuf;F Kd;ghf <) FUl;Lj; jhdj;jpy;
8. tpop Vw;gikTj; jpwd; Fiwg;ghl;ilr; rupnra;a cjTtJ [SEP – 2020, PTA – 2]
m) Ftp nyd;R M) Fop nyd;R ,) Ftp Mb <) ,UFtpa nyd;R
9. nrhy; mfuhjpapy; cs;s rpwpa vOj;Jfisg; gbg;gjw;F cfe;j nyd;R vJ?
m) 5 nrkP Ftpa J}uk; nfhz;l Ftpnyd;R
M) 5 nr.kP Ftpa J}uk; nfhz;l Fop nyd;R
,) 10 nr.kP Ftpa J}uk; nfhz;l Ftp nyd;R
<) 10 nr.kP. Ftpa J}uk; nfhz;l Fop nyd;R
10. xU Kg;gl;lfj;jpd; topNa nry;Yk; ePyk;> gr;ir kw;Wk; rptg;G epwq;fspd; miy ePsq;fs;
VB, VG, VR vdpy; gpd;tUtdtw;Ws; vr;rkd;ghL rupahdJ?
m) VB = VG = VR M) VB > VG >VR ,) VB < VG < VR <) VB < VG > VR
$Ljy; tpdhf;fs;
11. uhkd; xspr;rpjwypy; rpjwyile;j xspahdJ ______ tupfis cs;slf;fpaJ. [PTA – 5]
m) ];Nlhf;]; M) Mz;b];Nlhf;]; ,) uhNy <) ,it midj;Jk;
12. njspTW fhl;rpapd; kPr;rpWj; njhiyT (m) fz;zpd; mz;ikg;Gs;sp _______. [PTA – 6]
m) 25 kP M) 25 kp.kP ,) 25 nr.kP <) 250 kP
II. Nfhbl;l ,lq;fis epug;Gf
1. xsp nry;Yk; ghij xspf;fjpH vd;W miof;fg;gLfpwJ.
2. xU xspGFk; Clfj;jpd; xsp tpyfy; vz; vg;NghJk; xd;iw tpl mjpfk;.
3. gLfpd;w xspf;fw;iwapd; Mw;wYk; rpjwyile;j fw;iwapd; Mw;wYk; rkkhf ,Ue;jhy;
mJ kPl;rpr;rpjwy; vdg;gLk;.
4. uhNy rpjwy; tpjpg;gb> rpjwy; msthdJ> gLfpd;w xspf;fjpupd; miyePsj;jpd; ehd;kbf;F
vjpHjftpy; ,Uf;Fk;.
5. Iup]; fz;zpw;Fs; EioAk; xspapd; msitf; fl;Lg;gLj;JfpwJ.
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xU kjpg;ngz; 5
IV. nghUj;Jf
3. ntg;g ,aw;gpay;
I. rupahd tpiliaj; Nju;e;njL
$Ljy; tpdhf;fs;
6. ePs; ntg;g tpupTf;Fzfk; ________ rhu;e;jjhFk;. [PTA – 4]
m) cz;ikahd ePsk; M) ntg;gepiy cau;T
,) nghUspd; jd;ik <) (m) kw;Wk; (M)
7. ntg;gepiy cau;thy; nghUspd; gupkhzj;jpy; Vw;gLk; khw;wk;____ vd miof;fg;gLfpwJ.
m) ntg;gtpupT M) ntg;gkhw;wk; ,) ntg;gr;rydk; <) Mtpahjy; [PTA – 5]
3. 1 fpuhk; epiwAs;s ePhpd; ntg;gepiyia 𝟏°𝐂 cau;j;j Njitahd ntg;g Mw;wypd; msT
xU fNyhup vd tiuaWf;fg;gLfpwJ.
4. ghapy; tpjpapd; gb> khwh ntg;gepiyapy; xU Fwpg;gpl;l epiwAila thAtpd; mOj;jk;
mt;thAtpd; gUkDf;F vjpHj;jftpy; mikAk;.
$Ljy; tpdh
5. nghUnshd;wpd; %yf;$Wfspd; ruhrup ,af;f Mw;wy; ntg;gk; MFk;. [PTA – 2]
$Ljy; tpdh
4. ntg;g Mw;wy; ghpkhw;wj;jpd; NghJ Fiwe;j ntg;gepiyapy; cs;s nghUs;
[jtW]
Fsph;tpf;fg;gLfpwJ. mjpf ntg;gepiyapy; cs;s nghUs; ntg;gg;gLj;jg;gLfpwJ.
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8 ntw;wpf;F top - 10Mk; tFg;G mwptpay;
IV. nghUj;Jf
Fspu;r;rpahd nghUs;
4. ntg;g Mw;wy; guty; <) ePsj;jpy; khw;wk;
5-,) 𝟏. 𝟑𝟖𝟏 × 𝟏𝟎−𝟐𝟑 𝐉𝐊 −𝟏
5. Nghy;l;];Nkd; khwpyp c) gug;gpy; khw;wk;
2. $w;W : jpl kw;Wk; jput nghUs;fistpl thA nghUl;fs; mjpf mOj;jj;jpw;F cl;gLk;.
fhuzk; : mZf;fs; my;yJ %yf;$WfSf;F ,ilNa cs;s njhiyT xg;gplj;
jFe;j tifapy; mjpfk;. [PTA – 2]
tpil :(m) $w;W kw;Wk; fhuzk; Mfpa ,uz;Lk; rhp. NkYk;> fhuzk; $w;Wf;F rupahd tpsf;fk;.
$Ljy; tpdh
3. $w;W : ntg;gk; vg;NghJk; ntg;gepiy mjpfkhf cs;s nghUspypUe;J ntg;gepiy
Fiwthf cs;s nghUSf;Fg; guTk;. [PTA – 5]
fhuzk; : xU nghUis ntg;gg;gLj;Jk; NghNjh my;yJ FspHtpf;Fk; NghNjh nghUspd;
epiwapy; ve;j khw;wKk; Vw;gLtJ ,y;iy.
tpil :(M) $w;W kw;Wk; fhuzk; Mfpa ,uz;Lk; rhp. Mdhy;> fhuzk; $w;Wf;F rupahd tpsf;fky;y.
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xU kjpg;ngz; 9
4. kpd;Ndhl;ltpay;
I.rupahd tpiliaj; Nju;e;njL
1. fPof
; z;ltw;Ws; vJ rhpahdJ?
m) kpd;D}l;lk; ghAk; tPjk; kpd;jpwd;
M) kpd;D}l;lk; ghAk; tPjk; kpd;Ndhl;lk;
,) kpd;dhw;wy; khWk; tPjk; kpd;Ndhl;lk;
<) kpd;Ndhl;lk; khWk; tPjk; kpd;D}l;lk;
2. kpd;jilapd;; SI myF [SEP – 2021]
m) Nkh M) [{y; ,) Xk; <) Xk; kPl;lH
3. xU vspa kpd;Rw;wpy; rhtpia %baTld; kpd;tpsf;F xspu;tJ Vd;?
m) rhtp kpd;rhuj;ij jahupf;fpwJ.
M) rhtp %bapUf;Fk; NghJ kpd;Rw;wpd; Rw;Wg;ghijia %b tpLfpwJ.
,) rhtp %bapUf;Fk; NghJ kpd;Rw;wpd; Rw;Wg;ghij jpwf;fpwJ.
<) kpd;tpsf;F kpd;Ndw;wkilAk;.
4. fpNyh thl; kzp vd;gJ vjDila myF? [AUG – 2022, MDL – 19]
m) kpd;jil vz; M) kpd; flj;J jpwd;
,) kpd; Mw;wy; <) kpd; jpwd;
$Ljy; tpdhf;fs;
5. 5 Ω, 3 Ω kw;Wk; 2 Ω kpd;jilkjpg;Gfs; nfhz;l %d;W kpd;jilahf;fpfs; njhlhpizg;gpy;
,izf;fg;gl;Ls;s NghJ mtw;wpd; njhFgad; kpd;jil ________. [PTA – 2]
m) 1.03 Ω M) 10 Ω ,) 0.97 Ω <) 2.5 Ω
6. kpd; R+Nlw;wpfspy; epf;Nuhk; fk;gpr;RUshdJ ntg;gNkw;Wk; rhjdkhfg; gad;gLfpwJ Vnddpy;
m) mjpf kpd;jil vz; M) mjpf cUFepiy [PTA – 3]
,) vspjpy; Mf;rp[Ndw;wk; milahJ <) ,it midj;Jk;
7. jd; kpd;jil vz;zpd; gd;dhl;L (SI) myF ________. [PTA – 4]
m) Nkh M) Xk;/kPl;lH ,) Xk; <) Xk; kPl;lH
IV. nghUj;Jf.
[PTA – 5]
fyk; - 1 fyk; - 2 tpilfs;
(i) kpd;Ndhl;lk; (m) Nthy;l; i - c) Mk;gpaH
(ii) kpd;dOj;j NtWghL (M) Xk; kPl;lH ii - m) Nthy;l;
(iii) kpd;jil vz; (,) thl; iii - M) Xk; kPl;lH
(iv) kpd;jpwd; (<) [Py; iv - ,) thl;
(v) kpd;dhw;wy; (c) Mk;gpaH v - <) [{y;
$Ljy; tpdh [PTA – 2]
fyk; - 1 fyk; - 2 tpilfs;
(m) mk;kPl;lH (i) m - (iii)
(M) ilNahL (ii) M - (i)
(,) fhy;tdhkPl;lH (iii) , - (iv)
VI. FW tpdhf;fs;
1. kpd;Ndhl;lj;jpd; myif tiuaW?
kpd;Ndhl;lj;jpd; SI myF Mk;gpau; (A).
xU $Yk; kpd;Ndhl;lk; xU tpdhb Neuj;jpy; flj;jpapd; VjhtJ xU FWf;Fntl;Lg;
gFjp topahf fle;J nry;Yk; NghJ mf;flj;jpapy; ghAk; kpd;Ndhl;lk; xU Mk;gpaH
vdg;gLk;. 𝟏 $Yk;
1 Mk;gpau; =
𝟏 tpehb
$Ljy; tpdhf;fs;
5. kpd;fk;gq;fspd; fk;gpfs; Nfhilf;fhyq;fspy; jho;thfj; njhq;FtJ Vd;? [PTA – 4]
cNyhfq;fshy; Md kpd; fk;gpfs; Nfhilf;fhyq;fspy; ntg;gkhjypd; fhuzkhf
tpuptiltjhy; jho;thfj; njhq;Ffpd;wd.
6. kpd;dOj;j NtWghl;bid mstpLk; fUtp ahJ? kpd;Rw;wpy; ,f;fUtpapid vt;tpjk;
,izg;gha;? [PTA – 5]
Nthy;l; kPl;lH. kpd;Rw;wpy; ,jid gf;f ,izg;gpy; ,izf;f Ntz;Lk;.
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12 ntw;wpf;F top - 10Mk; tFg;G mwptpay;
5. xypapay;
I. rupahd tpiliaj; Nju;e;njLj;J vOJf.
IV. nghUj;Jf.
fyk; I fyk; II tpilfs;
1. Fw;nwhyp a) ,Wf;fq;fs; 1- c) 10 Hz
2. vjpnuhyp b) 22 kHz 2- d) my;l;uhNrhNdh fpuhgp
3. kPnahyp c) 10 Hz 3- b) 22 kHz
4. mOj;jk; kpFe;j gFjp d) my;l;uhNrhNdh fpuhgp 4- a) ,Wf;fq;fs;
tpil : (M) $w;W kw;Wk; fhuzk; Mfpa ,uz;Lk; rup. Mdhy;> fhuzk; $w;Wf;F rupahd
tpsf;fky;y.
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14 ntw;wpf;F top - 10Mk; tFg;G mwptpay;
VI. FW tpdhf;fs;
1. nel;liyfs; vd;why; vd;d?
xU Clfj;jpy; xypmiy guTk; jpirapNyNa Jfs;fs; mjpu;Tw;why; nel;liy MFk;.
2. nrtpAzu; xypapd; mjpu;ntz; vd;d? [SEP – 2021]
20 Hz Kjy; 20,000 Hz tiu cs;s mjpu;ntz;fs;.
3. vjpnuhypf;Fj; Njitahd Fiwe;jgl;rj; njhiyT vd;d? [SEP – 2021, MDL – 19]
vjpnuhypf;Fj; Njitahd Fiwe;jgl;rj; njhiyT 17.2 kP.
4. miyePsk; 0.20 kP cila xypahdJ 331 kPtp-1 Ntfj;jpy; guTfpwJ vdpy;> mjd;
mjpu;ntz; vd;d?
V 331 3310
n= = = = 1655 Hz
λ 0.20 2
5. kPnahypia czUk; VNjDk; %d;W tpyq;Ffisf; $Wf.
1) nfhR 2) eha; 3) ntsthy;
6. mZf;fU ,aw;gpay;
I. rupahd tpiliaj; Nju;e;njL
1. kdpjdhy; cUthf;fg;gl;l fjpupaf;fk; _______ vdf; fUjg;gLfpwJ.
m) J}z;lg;gl;l fjpupaf;fk; M) jd;dpr;irahd fjpupaf;fk;
,) nraw;iff; fjpupaf;fk; <) m kw;Wk; ,
2. fjpupaf;fj;jpd; myF _______. [SEP – 2021]
m) uhz;l;[d; M) fpA+up ,) ngf;nfhuy; <) ,it midj;Jk;
3. nraw;iff; fjpupaf;fj;jpidf; fz;lwpe;jtu;
m) ngf;nfhuy; M) Iupd; fpA+up ,) uhz;l;[d; <) ePy;]; Nghu;
4. fPof
; ;fz;l ve;j tpidapy; Nra; cl;fUtpd; epiw vz; khwhky; ,Uf;Fk;
i) 𝛼 – rpijT ii) 𝛽 – rpijT iii) 𝛾 – rpijT iv) epA+l;uhd; rpijT
m) (i) kl;Lk; rup M) (ii) kw;Wk; (iii) rup
,) (i) kw;Wk; (iv) rup <) (ii) kw;Wk; (iv) rup
5. Gw;WNeha; rpfpr;irapy; gad;gLk; fjpupaf;f INrhNlhg;G
m) NubNah mNahbd; M) NubNah fhu;gd;
,) NubNah Nfhghy;l; <) NubNah epf;fy;
6. fhkhf; fjpu;fs; mghafukhdJ fhuzk; mit
m) fz;fs; kw;Wk; vYk;Gfisg; ghjpf;Fk; M) jpRf;fisg; ghjpf;Fk;.
,) kugpay; FiwghLfis cz;lhf;Fk; <) mjpfkhd ntg;gj;ij cUthf;Fk;
7. fhkhf; fjpupaf;fj;jpypUe;J ek;ikg; ghJfhf;f _______ ciwfs; gad;gLfpd;wd.
m) fhuPa Mf;irL M) ,Uk;G ,) fhuPak; <) mYkpdpak; [PTA – 3]
8. fPof
; z;l ve;jf; $w;W / $w;Wfs; rupahdit?
(i) 𝛼 Jfs;fs; vd;git /Nghl;lhd;fs;
(ii) fhkhf; fjpupaf;fj;jpd; CLUTj; jpwd; FiwT
(iii) 𝛼 Jfs;fspd; madpahf;Fk; jpwd; mjpfk;
(iv) fhkhf; fjpu;fspd; CLUTj;jpwd; mjpfk;
m) (i) kw;Wk; (ii) rup M) (ii) kw;Wk; (iii) rup
,) (iv) kl;Lk; rup <) (iii) kw;Wk; (iv) rup
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xU kjpg;ngz; 15
9. GNuhl;lhd; - GNuhl;lhd; njhlu;tpidf;F vLj;Jf;fhl;L
m) mZf;fU gpsT M) My;ghr; rpijT ,) mZf;fU ,izT <) gPl;lhr; rpijT
10. mZf;fU rpijT tpidapy; 6X12 A
ZY , vdpy; A kw;Wk; Z-d; kjpg;G
m) 8> 6 M) 8> 4 ,) 4> 8 <) nfhLf;fg;gl;l juTfspypUe;J fhz ,ayhJ
11. fhkpdp mZf;fU ciy mike;Js;s ,lk;
m) fy;ghf;fk; M) $lq;Fsk; ,) Kk;ig <) ,uh[];jhd;
12. fPof; z;l ve;jf; $w;W / $w;Wfs; rupahdit?
(i) mZf;fU ciy kw;Wk; mZFz;L Mfpatw;wpy; njhlu; tpid epfOk;
(ii) mZf;fU ciyapy; fl;Lg;gLj;jg;gl;l njhlu;tpid epfOk;
(iii) mZf;fU ciyapy; fl;Lg;gLj;jg;glhj njhlu;tpid epfOk;
(iv) mZFz;L ntbj;jypy; njhlu;tpid epfohJ
m) (i) kl;Lk; rup M) (i) kw;Wk; (ii) rup ,) (iv) kl;Lk; rup <) (iii) kw;Wk; (iv) rup
$Ljy; tpdhf;fs;
13. gPl;lh rpijtpd; NghJ [PTA – 2]
m) epiw vz;zpy; xd;W mjpfupf;Fk;.
M) mZ vz;zpy; xd;W FiwAk;.
,) GNuhl;lhd;fspd; vz;zpf;ifapy; xd;W mjpfupf;Fk;.
<) epA+l;uhd;fspd; vz;zpf;ifapy; xd;W mjpfupf;Fk;.
14. mZ vz; ________ jdpkq;fs; jd;dpr;irahd fjpupaf;fj;ij ntspapLk;. [PTA – 4]
m) 83 I tpl mjpfkhd M) 83 I tplf; Fiwthd
,) 73 I tplf; Fiwthd <) 83 If; nfhz;l
15. jd;dpr;irahf fjpupaf;fq;fis ntspapLk; jpwd; ngw;w jdpkk; ________. [MDL – 19]
m) Ni M) Pd ,) Pt <) U
nghUj;Jf : 3
gFjp I gFjp II tpilfs;
m) rhb/g[d; ,aw;iff; fjpupaf;fk; m) ,lg;ngar;rp tpjp
M) Iupd; fpA+up ,lg;ngau;r;rp tpjp M) nraw;iff; fjpupaf;fk;
,) n`d;wp ngf;nfhuy; epiw Mw;wy; rkd;ghL ,) ,aw;iff; fjpupaf;fk;
<) epiw Mw;wy; rkd;ghL
<) My;gu;l; Id;];Bd; nraw;iff; fjpupaf;fk;
nghUj;Jf : 4
gFjp I gFjp II tpilfs;
m) fl;Lg;ghlw;w njhlu;tpid i`l;u[d; Fz;L m) mZFz;L
M) tsikg; nghUs;fs; mZf;fU ciy M) cw;gj;jp ciy
,) mZf;fU ciy
,) fl;Lg;ghlhd njhlu;tpid cw;gj;jp ciy
<) i`l;u[d; Fz;L
<) ,izT tpid mZFz;L
nghUj;Jf : 5
gFjp I gFjp II tpilfs;
m) Co – 60 gbkq;fspd; taJ m) uj;j Nrhif
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VIII. $w;W kw;Wk; fhuzk; tif Nfs;tpfs;
gpd;tUk; tpdhf;fspy; $w;Wk; mjidaLj;J fhuzKk; nfhLf;fg;gl;Ls;sd. gpd;tUtdtw;Ws; vJ
rupahd njupNth mjidj; njupT nra;f.
m) $w;W kw;Wk; fhuzk; Mfpa ,uz;Lk; rup. NkYk;> fhuzk; $w;Wf;F rupahd tpsf;fk;.
M) $w;W kw;Wk; fhuzk; Mfpa ,uz;Lk; rup. Mdhy;> fhuzk; $w;Wf;F rupahd tpsf;fkd;W.
,) $w;W rupahdJ. Mdhy;> fhuzk; rupad;W.
<) $w;W jtwhdJ. Mdhy;> fhuzk; rupahdJ.
1. $w;W : xU epA+l;uhd; U235 kPJ Nkhjp Ngupak; kw;Wk; fpupg;lhd; vd ,uz;Lj; Jfs;fis
cUthf;FfpwJ.
fhuzk; : U235 gpsTf;Fl;gLk; nghUshFk;.
tpil : (m) $w;W kw;Wk; fhuzk; Mfpa ,uz;Lk; rup. NkYk;> fhuzk; $w;Wf;F rupahd tpsf;fk;.
2. $w;W : 𝛽 – rpijtpd; NghJ epA+l;uhd; vz;zpf;ifapy; xd;W FiwfpwJ.
fhuzk; : 𝛽 – rpijtpd; NghJ> mZ vz; xd;W mjpfupf;fpwJ.
tpil : (m) $w;W kw;Wk; fhuzk; Mfpa ,uz;Lk; rup. NkYk;> fhuzk; $w;Wf;F rupahd tpsf;fk;.
3. $w;W : mZf;fU ,iztpw;F cau; ntg;gepiy Njit.
fhuzk; : mZf;fU ,iztpy; mZf;fUf;fs; ,izAk; NghJ Mw;wiy ckpo;fpwJ.
tpil : (m) $w;W kw;Wk; fhuzk; Mfpa ,uz;Lk; rup. NkYk;> fhuzk; $w;Wf;F rupahd tpsf;fk;.
4. $w;W : fl;Lg;gLj;Jk; fopfs; vd;git epA+l;uhd;fis cl;ftUk; fopfs; MFk;.
fhuzk; : mZf;fU gpsT tpidapid epiyepWj;Jtjw;fhff; fl;Lg;gLj;Jk; fopfs;
gad;gLfpd;wd.
tpil : (m) $w;W kw;Wk; fhuzk; Mfpa ,uz;Lk; rup. NkYk;> fhuzk; $w;Wf;F rupahd tpsf;fk;.
IX. RUf;fkhf tpilasp
1. ,aw;iff; fjpupaf;fj;ijf; fz;lwpe;jtu; ahu;? [MAY-2022] n`d;wp ngf;nfhuy;
2. gpl;r; gpsz;l; (pitch blende) jhJg; nghUspy; cs;s
ANudpak;> Nubak;
fjpupaf;fg; nghUs; ahJ?
3. fjpupaf;fj;ijj; J}z;lf;$ba ,uz;L jdpkq;fspd;
Nghuhd;> mYkpdpak;
ngau;fis vOJf.
4. ,aw;iff; fjpupaf;fj;jpd; NghJ ntspahFk; kpd;fhe;j
fhkh
fjpupd; ngaiu vOJf.
5. A – vd;gJ fjpupaf;fj; jdpkk; MFk;. ,J 𝛼 - Jfis
ntspapl;L 104Rf259 vd;w jdpkj;ij cUthf;FfpwJ vdpy; epiw vz;= 259 + 4 = 263
A – jdpkj;jpd; mZ vz; kw;Wk; epiw vz;izf; mZ vz;= 104 + 2 = 106
fz;lwpf. (jPu;T : α – rpijT : 104+2A259+4 → 104Rf259 + 2He4)
6. mZf;fU gpsT tpidapy; cUthFk; ruhrup Mw;wiy vOJf. 3.210-11 [{y; (m) 200 MeV
7. kugpay; Fiwghl;il cUthf;Fk; mghafukhd
fhkh fjpu;
fjpupaf;fg; nghUs; vJ?
8. xU kdpjdpy; ,wg;ig Vw;gLj;Jk; mstpw;F mike;Js;s
fjpupaf;fg; ghjpg;gpd; msT vd;d? 600 R
9. vq;F> vg;NghJ Kjy; mZf;fU ciy fl;lg;gl;lJ? 1942 - rpfhNfh> mnkupf;fh
10. fjpupaf;fj;jpd; SI myfpid vOJf. ngf;nfhuy; (Bq)
11. ve;nje;jg; nghUs;fs; fjpupaf;fg; ghjpg;gpypUe;J ek;ikg; ghJfhf;Fk;? fhuPak;
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7. mZf;fSk; %yf;$WfSk;
I. rupahd tpiliaj; Nju;e;njL
1. fPof
; ;fz;ltw;Ws; vJ Fiwe;j epiwiaf; nfhz;lJ.
m) 6.023 × 1023 `Pypak; mZf;fs; M) 1 `Pypak; mZ
,) 2 fp `Pypak; <) 1 Nkhy; `Pypak; mZ
2. fPof
; z;ltw;Ws; vJ %tZ %yf;$W? [MDL – 19, PTA – 1]
m) FSf;Nfh]; M) `Pypak; ,) fhHgd; il Mf;i]L <) i`l;u[d;
3. jpl;l ntg;g mOj;j epiyapy; 4.4 fp CO2 d; gUkd;
m) 22.4 ypl;lH M) 2.24 ypl;lH ,) 0.24 ypl;lH <) 0.1 ypl;lH
4. 1 Nkhy; iel;u[d; mZtpd; epiw
m) 28 amu M) 14 amu ,) 28 fp <) 14 fp
5. 1 amu vd;gJ
m) C-12 d; mZepiw M) i`l;u[dpd; mZepiw
𝟏
,) xU C-12 d; mZepiwapy; gq;fpd; epiw <) O -16 d; mZ epiw
𝟏𝟐
6. fPof
; z;ltw;Ws; jtwhd $w;W vJ.
m) xU fpuhk; C-12 thdJ mtfhl;Nuh vz;zpf;ifapyhd mZf;fisf; nfhz;lJ.
M) xU Nkhy; Mf;rp[d; thAthdJ mtfhl;Nuh vz;zpf;ifapyhd %yf;$Wfisf; nfhz;lJ.
,) xU Nkhy; i`l;u[d; thAthdJ mtfhl;Nuh vz;zpf;ifapyhd mZf;fisf; nfhz;lJ.
<) xU Nkhy; vyf;l;uhd; vd;gJ 6.023×1023 vyf;l;uhd;fisf; Fwpf;fpwJ.
7. jpl;l ntg;g mOj;j epiwapy; 1 Nkhy; <uZ %yf;$W thAtpd; gUkd;
m) 11.2 ypl;lH M) 5.6 ypl;lH ,) 22.4 ypl;lH <) 44.8 ypl;lH
8. Ca40 jdpkj;jpd; cl;fUtpy;
20
m) 20 GNuhl;lhd; 40 epA+l;uhd; M) 20 GNuhl;lhd; 20 epA+l;uhd;
,) 20 GNuhl;lhd; 40 vyf;l;uhd; <) 20 GNuhl;lhd; 20 vyf;l;uhd;
9. Mf;rp[dpd; fpuhk; %yf;$W epiw [AUG – 2022]
m) 16 fp M) 18 fp ,) 32 fp <) 17 fp
10. 1 Nkhy; ve;j xU nghUSk; _________ %yf;$Wfisf; nfhz;bUf;Fk;.
m) 6.023×1023 M) 6.023×10-23 ,) 3.0115×1023 <) 12.046×1023
$Ljy; tpdhf;fs;
; z;Ls;s $w;Wfis Muha;e;J rhpahd tpiliaj; NjHe;njLj;J vOJf. [PTA – 4]
11. fPof
i) vyf;l;uhd; Fwpg;gplj;jf;f epiwiaf; nfhz;lit.
ii) xU Ntw;wZ %yf;$W ntt;NtW tif mZf;fshy; cUthfpwJ.
iii) xU jdpkj;jpd; epiw vz;Zk; mZ epiwAk; rkk;.
m) i, ii, iii rhp M) i kw;Wk; iii rhp ,) ii kl;Lk; rhp <) iii kl;Lk; rhp
12. xU %yf;$W xNu tif mZf;fshy; Mf;fg;gl;bUg;gpd; mJ ____vd miof;fg;gLfpwJ.
m) XuZ %yf;$W M) Ntw;W mZ%yf;$W[PTA-6, MAY-2022]
,) xj;j mZ %yf;$W <) gy mZ%yf;$W
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III. nghUj;Jf
epiw
gFjp - I gFjp - II tpilfs; FwpgG; : Nkhy;fspd; vz;zpfi
; f =mZ/%yf;$W epiw
1) 0.25 Nkhy; 𝟖
1) 8 fp O2 4 Nkhy;fs; 1) 8fp O2= 𝟑𝟐
= 𝟎. 𝟐𝟓 Nkhy;fs;
2) 2 Nkhy;fs; 𝟒
2) 4 fp H2 0.25 Nkhy;fs; 2) 4 fp H2 = 𝟐 = 𝟐 Nkhy;fs;
3) 13 Nkhy;fs; 𝟓𝟐
3) 52 fp He 2 Nkhy;fs; 3) 52 fp He = 𝟒
= 𝟏𝟑 Nkhy;fs;
4) 4 Nkhy;fs;
𝟏𝟏𝟐
4) 112 fp N2 0.5 Nkhy;fs; 4) 112 fp N2= = 𝟒 Nkhy;fs;
5) 0.5 Nkhy;fs; 𝟐𝟖
𝟑𝟓.𝟓
5) 35.5 fp Cl2 13 Nkhy;fs; 5) = 𝟕𝟏
= 𝟎. 𝟓 Nkhy;fs;
III. nghUj;Jf
[PTA – 6]
gFjp - I gFjp - II tpilfs;
1) Kyhk; g+Rjy; ke;j thAf;fs; 1) Jj;jehfk; g+r;R
2) fhw;wpy;yh tWj;jy; Jj;jehfk; g+r;R 2) fhw;wpy;yh R+o;epiyapy;
3) Mf;rp[Ndw;w xLf;f tpid rpy;th; - bd; urf;fyit R+Nlw;Wk; epfo;T
3) mYkpNdh ntg;gxLf;f
4) gw;Fop milj;jy; mYkpNdh ntg;gxLf;f tpid tpid
fhw;wpy;yh R+o;epiyapy; 4) rpy;th; - bd; urf;fyit
5) 18 Mk; njhFjp jdpkq;fs;
R+Nlw;Wk; epfo;T 5) ke;j thAf;fs;
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9. fiury;fs;
I. rupahd tpiliaj; Nju;e;njL
1. ePupy; fiuf;fg;gl;l cg;Gf; fiury; vd;gJ ________ fyit
m) xUgbj;jhd M) gygbj;jhd
,) xUgbj;jhd kw;Wk; gy;gbj;jhdit <) xUgbj;jhdit my;yhjit
2. ,Ukbf;fiurypy; cs;s $Wfspd; vz;zpf;if [MAY - 2022]
m) 2 M) 3 ,) 4 <) 5
3. fPof; z;ltw;Ws; vJ ru;tf;fiug;ghd; vdg;gLtJ ________.
m) mrpl;Nlhd; M) ngd;rPd; ,) ePu; <) My;f`hy;
4. Fwpg;gpl;l ntg;gepiyapy;> Fwpg;gpl;l msT fiug;ghdpy; NkYk; fiunghUis fiuf;f
Kbahj fiury; _________ vdg;gLk;.
m) njtpl;ba fiury; M) njtpl;lhj fiury;
,) mjp njtpl;ba fiury; <) ePu;j;j fiury;
5. ePuw;w fiuriy milahsk; fhz;f. [SEP – 2020]
m) ePupy; fiuf;fg;gl;l cg;G M) ePupy; fiuf;fg;gl;l FSf;Nfh];
,) ePupy; fiuf;fg;gl;l fhg;gu; ry;Ngl; <) fhu;gd;-il-ry;igby; fiuf;fg;gl;l ry;gu;
6. Fwpg;gpl;l ntg;gepiyapy;> mOj;jj;ij mjpfupf;Fk; NghJ ePu;kj;jpy; thAtpd; fiujpwd;___.
m) khw;wkpy;iy M) mjpfupf;fpwJ ,) FiwfpwJ <) tpid ,y;iy
7. 100 fp ePupy; Nrhbak; FNshiubd; fiujpwd; 36fp. 25fp Nrhbak; FNshiuL 100 kp.yp
ePupy; fiuj;j gpwF NkYk; vt;tsT cg;ig Nru;j;jhy; njtpl;ba fiury; cUthFk;____.
m) 12 fp M) 11 fp ,) 16 fp <) 20 fp
8. 25% My;f`hy; fiury; vd;gJ __________. [PTA – 4]
m) 100 kp.yp ePupy; 25 kp.yp My;f`hy; M) 25 kp.yp ePupy; 25 kp.yp My;f`hy;
,) 75 kp.yp ePupy; 25 kp.yp My;f`hy; <) 25 kp.yp ePupy; 75 kp.yp My;f`hy;
9. <uk; cwpQ;rpf; fiuAk; Nru;kq;fs;; cUthff; fhuzk; _________. [PTA – 5]
m) <uk; kPJ mjpf ehl;lk; M) <uk; kPJ Fiwe;j ehl;lk;
,) <uk; kPJ ehl;lk; ,d;ik <) <uk; kPJ ke;jj;jd;ik
10. fPof
; z;ltw;Ws; vJ ePu; cwpQ;Rk; jd;ikAilaJ __________.
m) /ngupf; FNshiuL M) fhg;gu; ry;Ngl; ngd;lhi`l;Nul;
,) rpypf;fh n[y; <) ,tw;Ws; vJkpy;iy
$Ljy; tpdhf;fs;
11. khztu; xUtu; mwptpay; nra;Kiw Nrhjidapd; NghJ jplNrhbak; i`l;uhf;i]L
,Ue;j ghl;biy gad;gLj;jpa gpd; ghl;biy jpwe;Nj itj;J tpl;Lr; nrd;Wtpl;lhu;. rpy
ehl;fs; fopj;J mtu; me;jg;ghl;biy cw;W Nehf;fpaNghJ jpltbtpy; ,Ue;j Nrhbak;
i`l;uhf;i]L Nru;kk; jput tbtpy; ,Ug;gijg; ghu;j;jhu;. ,jw;fhd fhuzk; Nrhbak;
i`l;uhf;irbd; ________ gz;G MFk;. [PTA – 1]
m) <uk; cwpQ;Rjy; M) <uk; cwpQ;rpf;fiujy; ,) ePu;ePf;fk; miljy; <) gpupifailjy;
12. fiury;fspd; fdmsT rjtPjk; ntg;gepiy mjpfupf;Fk;NghJ Fiwtjw;fhd fhuzk;
m) jputq;fspd; ntg;gtpupT M) jputq;fspd; Fspu;TtpisT [PTA – 2]
,) fiurypd; nrwpT mjpfkhjy; <) fiurypd; nrwpT Fiwjy;
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4. xU gor;rhupd; pH kjpg;G 5.6 ,jDld; ePu;j;j Rz;zhk;G Nru;f;Fk; NghJ ,jd; pH kjpg;G
5. 25℃ ntg;gepiyapy; ePupd; madpg; ngUf;fj;jpd; kjpg;G 1.00 × 10-14 Nkhy;2 nlrpkP-6.
10. i`bu[d; (H+) madp ePupy; fiutjhy; cUthFk; madp H3O+ (my;yJ)
ntg;gk; 3 - <
3. ZnCO3(s) + → ZnO(s) + CO2(g) ,) eLepiyahf;fy; tpid
4 - M
4. C2H4(g) + 4O2(g) → 2CO2(g) + 2H2O(g) + ntg;gk; <) ntg;gr;rpijT tpid
2. SO3, CO2, NO2 Nghd;w thAf;fs; fiue;Js;s kioePupd; pH kjpg;G 7-ia tpl [rup]
Fiwthf ,Uf;Fk;.
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III. nghUj;Jf
[PTA – 2]
gFjp I gFjp II tpilfs;
1) tpidr;nray; njhFjp - OH ngd;rPd; 1) My;f`hy;
2) gy;ypd tisar; Nru;kq;fs; nghl;lhrpak; ];bNul; 2) gpA+uhd;
3) epiwTwh Nru;kq;fs; My;f`hy; 3) <j;jPd;
4) Nrhg;G gpA+uhd; 4) nghl;lhrpak; ];bNul;
5) fhu;Ngh tisar; Nru;kq;fs; <j;jPd; 5) ngd;rPd;
2. cs;Nehf;fpa iryk; vd;gJ vjd; rpwg;Gg; gz;ghFk;? [AUG – 2022, MAY - 2022]
m) Ntu; M) jz;L ,) ,iyfs; <) kyu;fs;
m) ATP ahdJ ADP ahf khWk; NghJ M) CO2 epiy epWj;jg;gLk; NghJ
,) ePu; %yf;$Wfs; gpsf;fg;gLk; NghJ <) ,it midj;jpYk;
4. ,Utpijapiyj; jhtu Ntupy; Nkw;Gwj; NjhYf;F fPNo ghypNrl; ghud;ifkh cs;sJ. [jtW]
*,Utpj;jpiy jhtu ,iyapy; Nkw;Gwj; NjhYf;Ff; fPNo ghypNrl; ghud;ifkh cs;sJ.
5. ,iyapilj; jpR gRq;fzpfq;fisg; ngw;Ws;sJ. [rup]
6. fhw;W Rthrj;ij tpl fhw;wpy;yh Rthrk; mjpf ATP %yf;$Wfis cw;gj;jp nra;fpwJ. [jtW]
*fhw;W Rthrj;ijtpl fhw;wpy;yh Rthrk; Fiwe;j ATP %yf;$Wfis cw;gj;jp nra;fpwJ.
IV. nghUj;Jf
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II. Nfhbl;l ,lj;ij epug;Gf
1. jhtuj;jpd; Gwg;gFjpapypUe;J ePu; MtpahFk; epfo;r;rp ePuhtpg;Nghf;F vdg;gLk;.
2. ePuhdJ Ntu; J}tp nry;ypd; gpsh];kh (m) miu flj;J rt;tpd; topahf nry;fpwJ.
3. kz;zpypUe;J ePiu cwpQ;Rk; Ntupd; gFjp (m) mikg;G Ntu;j;J}tp. [PTA –
6]
4. ,ay;ghd ,uj;j mOj;jk; 120 mm Hg / 80 mm Hg.
5. rhjhuz kdpjdpd; ,jaj; Jbg;gpd; msT epkplj;jpw;F 72 - 75 Kiwfs; MFk;.
$Ljy; tpdh
6. tpy;ypak; `hu;tp etPd clw;nraypaypd; je;ij vd miof;fg;gLfpwhu;. [SEP - 2020]
III. nghUj;Jf
V. xU thu;j;ijapy; tpilasp
1. kdpj ,jaj;ij %bapUf;Fk; ,ul;il mLf;fhyhd ghJfhg;G ciwapd; ngaiuf; $Wf.
ngupf;fhu;bak;;.
2. kdpj ,uj;jj;jpy; cs;s RBC-apd; tbtk; vd;d?
RBC- ,UGwKk; Fope;j jl;L tbtk; cilait.
3. ,uj;jk; rptg;G epwkhf ,Ug;gNjd;? [AUG – 2022]
`PNkhFNshgpid nfhz;Ls;sjhy; ,uj;jk; rptg;G epwj;Jld; cs;sJ.
4. vt;tifahd nry;fs; epzePupy; fhzg;gLfpd;wd?
WBC - ypk;/Nghirl; nry;fs;.
5. ntz;l;upf;fpspypUe;J ntspr;nry;Yk; Kf;fpaj; jkdpfspy; fhzg;gLk; thy;T vJ?
miur; re;jpu thy;Tfs; MFk;.
6. ,jaj; jirfSf;F ,uj;jj;ij mspf;Fk; ,uj;jf; Foha; vJ?
fNuhdup jkdpfs;;.
tpil : (m) $w;Wk; (A) kw;Wk; fhuzk; (R) Mfpa ,uz;Lk; rupahf ,Ue;J> mjpy; me;j fhuzk;
$w;Wf;fhd rupahd tpsf;fk; MFk;.
2. $w;W (A) : ‘AB’ ,uj;j tif cilNahu; “midtuplkpUe;Jk; ,uj;j j;i j
ngWNthuhf” fUjg;gLfpwhu;fs;. Vnddpy;> mtu;fs; midj;J tif
,uj;jg; gpuptpduplkpUe;Jk; ,uj;jj;jpidg; ngwyhk;.
fhuzk; (R) : AB ,uj;j tifapy; Md;bghbfs; fhzg;gLtjpy;iy.
$w;Wk; (A) kw;Wk; fhuzk; (R) Mfpa ,uz;Lk; rupahf ,Ue;J> mjpy; me;j fhuzk;
tpil : (m)
$w;Wf;fhd rupahd tpsf;fk; MFk;.
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III. nghUj;Jf
tpilfs; :
gFjp I gFjp II gFjp III
1) Mf;rpd; Kisf;FUj;J ciw Edp Mjpf;fk;;
2) vj;jpypd; fdpfs; gOj;jy;
3) mg;rprpf; mkpyk; gRq;fzpfk; cjpu;jy;
4) irl;Nlhifdpd; Njq;fhapd; ,sePu; nry; gFg;G
5) [pg;uy;ypd;fs; [pg;upy;yh gpA+[pFuha; fZtpilg;gFjp ePl;rp
nghUj;Jf - II
`hu;Nkhd;fs; FiwghLfs; tpilfs;
1) ijuhf;rpd; mf;NuhNkfyp 1) vspa fha;lu;
2) ,d;Rypd; nll;ldp 2) lahgb]; nky;ypl];
3) ghuhjhu;Nkhd; vspa fha;lu; 3) nll;ldp
4) tsu;r;rp `hu;Nkhd; lahgb]; ,d;rpgpl]; 4) mf;NuhNkfyp
5) lahgb]; ,d;rpgpl];
5) ADH lahgb]; nky;ypl];
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IV. fPo;f;fz;l $w;W rupah> jtwh vdf; $Wf. jtw;iw jpUj;jp vOJf
1. R+ypd; fhk;Gg; gFjp g+f;fhk;G vdg;gLk;. [jtW]
*R+ypd; fhk;Gg; gFjp R+y;fhk;G vdg;gLk;.
2. tpijfs; ghypyh ,dg;ngUf;fj;jpd; %yk; cUthfpd;wJ. [jtW]
3. <];l; ghypyh ,dg;ngUf;f Kiwahd nry;gpupjy; %yk; ,dg;ngUf;fk; nra;fpwJ. [jtW]
*<];l; cly ,dg;ngUf;f Kiwahd nkhl;LtpLjy; %yk; ,dg;ngUf;fk; nra;fpwJ.
4. kfue;jj;J}s;fis Vw;ff;$ba R+yfj;jpd; gFjp R+y;jz;lhFk;. [jtW]
*kfue;jj;J}s;fis Vw;ff;$ba R+yfj;jpd; gFjp R+y;KbahFk;.
5. g+r;rpfs; %yk; kfue;jr;NrHf;if eilngWk; kyupYs;s kfue;jj;J}s;fs; [jtW]
cyHe;J> nkd;ikahf> vilaw;wjhff; fhzg;gLk;.
*fhw;W %yk; kfue;jr;NrHf;if eilngWk; kyupYs;s kfue;jj;J}s;fs; cyHe;J>
nkd;ikahf> vilaw;wjhff; fhzg;gLk;.
6. ,dg;ngUf;f cWg;Gfs; cw;gj;jp nra;af;$ba ,dr;nry;fs; ,ul;ilkaj; [jtW]
jd;ikAilait.
*,dg;ngUf;f cWg;Gfs; cw;gj;jp nra;af;$ba ,dr;nry;fs; xw;iwkaj; jd;ikAilait.
7. gpl;a+l;lupapd; gpd;fJg;G LH-Ir; Ruf;fpwJ. [jtW]
*gpl;a+l;lupapd; Kd;fJg;G LH-Ir; Ruf;fpwJ.
8. fUTw;wpUf;Fk; NghJ khjtplha; Row;rp eilngWtjpy;iy. [rup]
9. ,dr;nry; cUthjiy mWit rpfpr;ir Kiwapyhd fUj;jil Kiw jilnra;fpwJ. [jtW]
*,dr;nry; ntsptUtij mWit rpfpr;ir Kiwapyhd fUj;jil Kiw jil nra;fpwJ.
10. <];l;Nuh[d; kw;Wk; GNuhn[];buhdpd; kpifRug;G khjtplha;f;F fhuzkhfpwJ. [jtW]
*<];l;Nuh[d; kw;Wk; GNuhn[];buhdpd; FiwRug;G khjtplha;f;F fhuzkhfpwJ.
V. xU thu;j;ijapy; tpilasp
1. xU kfue;jj;J}spypUe;J ,uz;L Mz; NfkPl;Lfs; kl;Lk; cUthfpwJ
10 kfue;jj;J}s;fs;
vdpy;> gj;J R+y;fis fUTwr; nra;a vj;jid kfue;jj;J}s;fs; Njitg;gLk;?
2. R+yfj;jpd; vg;gFjpapy; kfue;jj;J}s; Kisj;jy; eilngWfpwJ? R+yfKb
3. nkhl;LtpLjy; %yk; ,dg;ngUf;fk; nra;Ak; ,uz;L capupfisf; Fwpg;gplTk;. <];l;> i`l;uh
4. xU tpijapy; cs;s fUt+zpd; Ntiy vd;d? fUtpw;F Cl;lkspf;fpwJ.
5. fUg;igapd; mjpjPtpu jirr; RUf;FjYf;F fhuzkhd `hHNkhdpd;>
Mf;rpNlhrpd;
ngaiuf; $Wf.
6. tpe;J nry;ypd; mf;NuhNrhkpy; fhzg;glf;$ba nehjpapd; nganud;d? `aYuhdpNl];
7. cyf khjtplha; Rfhjhu jpdk; vg;NghJ nfhz;lhlg;gLfpwJ? Nk 28 Mk; Njjp
8. fUj;jilapd; Njit vd;d? ,J kf;fs; njhif ntbg;igf; Fiwf;fpwJ.
9. fPo;f;fz;l epfo;Tfs; ngz;zpd; ,dg;ngUf;f kz;lyj;jpy; ve;j ghfj;jpy; eilngWfpwJ?
m) fUTWjy; - Mk;Gy;yh M) gjpj;jy; - fUg;igapd; Rth;
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I. rupahd tpiliaj; Nju;e;njL
1. nkz;lypd; fUj;Jg;gb my;yPy;fs; fPof ; ;fz;l gz;Gfisg; ngw;Ws;sd.
m) xU N[hb [Pdf ; s; M) gz;Gfis epu;zapg;gJ
,) kugZf;fis ([Pd); cUthf;FtJ <) xLq;F fhuzpfs;
2. ve;epfo;r;rpapd; fhuzkhf 9:3:3:1 cUthfpwJ?
m) gpupjy; M) FWf;Nf fyj;jy; ,) rhu;gpd;wp xJq;Fjy; <) xLq;F jd;ik
3. nry; gFg;gilAk; NghJ> ];gpd;by; ehu;fs; FNuhNkhNrhKld; ,izAk; gFjp
m) FNuhNkhkpak; M) nrd;l;NuhNrhk; ,) nrd;l;Nuhkpau; <) FNuhNkhdPkh
4. nrd;l;Nuhkpau; ikaj;jpy; fhzg;gLtJ __________ tif FNuhNkhNrhk;
m) Bnyh nrd;l;upf; M) nkl;lh nrd;l;upf;
,) rg; - nkl;lh nrd;l;upf; <) mf;Nuh nrd;l;upf;
5. b.vd;.Vtpd; KJnfYk;ghf _________ cs;sJ.
m) B Mf;]p iuNgh]; ru;f;fiu M) gh];Ngl; ,) iel;u[d; fhuq;fs; <) ru;f;fiu gh];Ngl;
6. xfrhfp Jz;Lfis xd;whf ,izg;gJ
m) n`ypNf]; M) b.vd;.V ghypkNu]; ,) Mu;.vd;.V gpiuku; <) b.vd;.V ypNf];
7. kdpjdpy; fhzg;gLk; FNuhNkhNrhk;fspd; vz;zpf;if
m) 22 N[hb Ml;NlhNrhk;fs; kw;Wk; xU N[hb my;NyhNrhk;fs;
M) 22 Ml;NlhNrhk;fs; kw;Wk; 1 my;NyhNrhk; ,) 46 Ml;NlhNrhk;fs;
<) 46 N[hb Ml;NlhNrhk;fs; kw;Wk; 1 N[hb my;NyhNrhk;fs;
8. gd;ka epiyapy; xd;W my;yJ mjw;F Nkw;gl;l FNuhNkhNrhk;fis ,oj;jy; _______
vd miof;fg;gLfpwJ.
m) ehd;ka epiy M) md;A+gpsha;b ,) A+gpsha;b <) gy gd;ka epiy
$Ljy; tpdhf;fs;
9. FNuhNkhNrhk;fs; vd;w nrhy;iy Kjd; Kjypy; cUthf;fpg; gad;gLj;jpatu;[MAY-2022]
m) nkz;ly; M) thy;Nlau; ,) nu[pdhy;L Gd;dl; <) T.H. Nkhu;fd;
10. cl;fUtpYs;s cl;fUkzp ,jdhy; cUthf;fg;gLfpwJ [PTA – 2]
m) ,uz;lhk; epiyr; RUf;fk; M) Kjd;ikr; RUf;fk; ,) BNyhkpau; <) Nyhf];
11. fPof
; ;fz;ltw;Ws; ,Ugz;Gf; fyg;gpd tpfpjj;ijf; fz;lwpf. [PTA – 3]
m) 9 : 3 : 3 : 1 M) 9 : 1 : 3 : 1 ,) 9 : 1 : 3 : 3 <) 1 : 2 : 1
12. nkl;lh nrd;l;upf; FNuhNkhNrhkpy; nrd;l;Nuhkpaupd; miktplk; [PTA – 5]
m) Kd;Kid M) gpd;Kid ,) ikaj;jpy; <) Kidf;F mUfpy;
13. rhpahd ,iziaf; fhz;f: [SEP - 2020]
m) mf;Nuhnrd;l;hpf; - nrd;l;Nuhkpah; FNuhNkhNrhkpd; ikaj;jpw;F mUfpy;
fhzg;gLfpwJ. vdNt ,uz;L rkkw;w fuq;fs; cUthfpd;wd.
M) rg;-nkl;lhnrd;l;hpf; - nrd;l;Nuhkpah; FNuhNkhNrhkpd; xU Kidapy; fhzg;gLfpwJ.
,) nkl;lhnrd;l;hpf; - nrd;l;Nuhkpah; FNuhNkhNrhkpd; ikaj;jpy; mike;J ,uz;L
rkePsKs;s fuq;fis cUthf;FfpwJ
<) BNyhnrd;l;hpf; - nrd;l;Nuhkpah; FNuhNkhNrhkpd; xU Kidf;F mUfpy; fhzg;gLtjhy;>
xU Fl;ilahd fuKk; xU ePz;l fuKk; ngw;Ws;sd.
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III. fPo;f;fz;l $w;W rupah> jtwh vdf; $Wf. jtiw jpUj;jp vOJf
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IV. nghUj;Jf
2) 2n
M) ,Uka epiy 9:3:3:1
3) 23tJ N[hb FNuhNkhNrhk;fs;
,) my;NyhNrhk;fs; 22 N[hb FNuhNkhNrhk;fs;
4) biuNrhkp 21
<) lTd; Neha;f; $l;L mwpFwp 2n
5) 9:3:3:1
V. xU thf;fpaj;jpy; tpilasp
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2. nray; xj;j cWg;Gfs; ghu;f;f xNu khjpupahfTk;> xNu khjpupahd gzpfisAk; [rup]
nra;fpd;wd. Mdhy; mit ntt;NtW tpjkhd Njhw;wk; kw;Wk; fUtsu;r;rp
Kiwfisf; nfhz;ljhf cs;sd.
IV. nghUj;Jf
[PTA – 5]
m) Kd;Ndhu; gz;G kPl;rp Ks;nsYk;G kw;Wk; Fly;thy; m) tsu;r;rpailahj thy; kw;Wk; cly;
G+id kw;Wk; ntsthypd; KOtJk; mlu;e;j Kb
M) vr;r cWg;Gfs;
Kd;dq;fhy; M) Ks;nsYk;G kw;Wk; Fly;thy;
tsu;r;rpailahj thy; kw;Wk; ,) ntsthypd; ,wf;if kw;Wk; G+r;rpapd;
,) nray; xj;j cWg;Gfs;
cly; KOtJk; mlu;e;j Kb ,wf;if
ntsthypd; ,wf;if kw;Wk; <) G+id kw;Wk; ntsthypd; Kd;dq;fhy;
<) mikg;G xj;j cWg;Gfs;
G+r;rpapd; ,wf;if
c) jpUtf;fiu
c) kug;G+q;fh fjpupaf;ff; fhu;gd; (C14)
C) fjpupaf;ff; fhu;gd; (C14)
C) W.F.ypgp jpUtf;fiu
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IV. nghUj;Jf.
fyk; - I fyk; - II tpilfs;
1) Nrhdhypfh NgrpNahy]; Kq;Nfh 1) miuf;Fs;s NfhJik
2) IR 8 fUk;G 2) miuf;Fs;s muprp
3) fUk;G
3) rf;fhuk; miuf;Fs;s NfhJik
4) NgrpNahy]; Kq;Nfh
4) Kq; ek;gu; 1 Ntu;f;fliy 5) Ntu;f;fliy
5) TMV – 2 miuf;Fs;s muprp 6) rDNA njhopy;El;gj;jy p ; cUthd
6) ,d;Rypd; Ngrpy;y]; JupQ;rpad;rp]; Kjy; `hu;Nkhd;
7) Bt er;R gPl;lh fNuhl;bd; 7) Ngrpy;y]; JupQ;rpad;rp];
8) gPl;lh fNuhl;bd;
8) Nfhy;ld; iu]; rDNA njhopy; El;gj;jpy;
cUthd Kjy; `hu;Nkhd;
V. $w;W kw;Wk; fhuzk; tif Nfs;tpfs;
gpd;tUk; xt;nthU tpdhf;fspYk; xU $w;Wk; mjd; fPNo mjw;fhd fhuzKk; nfhLf;fg;gl;Ls;sd.
fPNo nfhLf;fg;gl;Ls;s ehd;F thf;fpaq;fspy; xd;iw rupahd gjpyhf Fwpf;fTk;.
m) $w;W rup Mdhy; fhuzk; jtW. M) $w;W jtW Mdhy; fhuzk; rup.
,) $w;W kw;Wk; fhuzk; ,uz;Lk; rup. <) $w;W kw;Wk; fhuzk; ,uz;Lk; jtW.
1. $w;W : fyg;Gapup ,U ngw;NwhiuAk; tpl Nkk;gl;ljhf ,Uf;Fk;.
fhuzk; : fyg;gpd tPupak; jw;fyg;gpy; ,of;fg;gLfpwJ.
$w;W rup Mdhy; fhuzk; jtW.
tpil : (m)
2. $w;W : fhy;r;rprpd; FNuhNkhNrhk; vz;zpf;ifiaf; Fiwf;fpwJ. [PTA – 3]
fhuzk; : rNfhjup FNuhNkhl;bLfs; vjpnujpu;j; JUtq;fis Nehf;fp efu;tij mJ
Cf;Ftpf;fpwJ.
tpil : (<) $w;W kw;Wk; fhuzk; ,uz;Lk; jtW.
3. $w;W : rDNA njhopy;El;gk; fyg;gpdkhf;fiy tpl Nkd;ikahdJ. [PTA – 4]
fhuzk; : ,yf;F capupdj;jpy; tpUk;gj;jfhj [Pdf
; is Eiof;fhky; tpUk;gj;jf;f
[Pdf
; s; kl;Lk; Eiof;fg;gLfpd;wd.
tpil : (,) $w;W kw;Wk; fhuzk; ,uz;Lk; rup.
$Ljy; tpdh
11. fPof
; ;fz;ltw;Ws; lahgb]; nky;ypl]; njhlHghd NtWgl;l xd;iwj; NjHe;njLf;fTk;?
m) Nehapd; jhf;fk; 10% - 20% M) ,sk;gUtj;jpy; njhlq;Fjy; [PTA – 3]
,) cly; vil Fiwjy; <) clw;gUkd;
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II. fPo;f;fz;ltw;iw rupah> jtwh vdf; $Wf. jtWfs; VJkpUg;gpd; jpUj;jp vOJf.
1. va;l;]; vd;gJ xU nfhs;is Neha; (vgplkpf;). [jtW]
*va;l;]; vd;gJ xU nfhs;is NehahFk;(ghd;lkpf;).
2. Gw;WNeha; cUthf;Fk; [Pdf ; Sf;F Md;Nfh[Pd;fs; vd;W ngau;. [rup]
3. cly; gUkdpd; gz;G fl;bfs; cUthf;fk; MFk;. [jtW]
*Gw;WNehapd; gz;G fl;bfs; cUthf;fk; MFk;.
4. nts;isaZf;fs; kw;Wk; ,uj;j rptg;gZf;fs; vz;zpf;ifapy; mjpfupg;gJ [jtW]
YA+f;Nfkpah vdg;gLfpwJ.
*nts;isaZf;fs; vz;zpf;ifapy; mjpfupg;gJ YA+f;Nfkpah vdg;gLfpwJ.
5. Nehapd; fhuzq;fs; gw;wp mwpa cjTk; mwptpay; gpupT Neha;f;fhuz Ma;T [rup]
(Vl;bahy[p) vdg;gLfpwJ.
6. Nehahspfspd; Milfis gad;gLj;Jtjdhy; va;l;]; Neha; guthJ. [rup]
7. ,d;Rypd; gw;whf;Fiwapdhy; lahgB]; nky;ypl]; tif-2 cUthfpwJ. [jtW]
*,d;Rypd; gw;whf; Fiwapdhy; lahgB]; nky;ypl]; tif-1 cUthfpwJ.
8. fhu;rpNdh[d; vd;git Gw;WNehia cUthf;Fk; fhuzpfshFk;. [rup]
9. epf;Nfhl;bd; vd;gJ kaf;f %l;b tif kUe;J. [jtW]
*epf;Nfhl;bd; vd;gJ fpsu;r;rpiaj; J}z;Lk; (my;yJ) mbikg;gLj;Jk; kUe;jhFk;.
10. rpu;Nuhrp]; (fy;yPuy; tPf;fk;) vd;gJ %isf; NfhshW NehAld; njhlu;GilaJ. [jtW]
*rpu;Nuhrp]; (fy;yPuy; tPf;fk;) vd;gJ fy;yPuy; NfhshW NehAld; ghjpg;Gld; njhlHGilaJ.
IV. nghUj;Jf.
Kjy; nrhy;iy milahsk; fz;L> mjNdhL njhlu;Gila nrhy;iy ehd;fhtJ Nfhbl;l ,lj;jpy; epug;Gf.
m) $w;W kw;Wk; fhuzk; ,uz;Lk; rup. NkYk; fhuzk; $w;Wf;fhd rupahd tpsf;fkhFk;.
M) $w;W kw;Wk; fhuzk; ,uz;Lk; rup. Mdhy;; fhuzk; $w;Wf;fhd rupahd tpsf;fk; ,y;iy.
,) $w;W rup. Mdhy; fhuzk; jtW.
<) $w;W kw;Wk; fhuzk; ,uz;Lk; jtW.
III. nghUj;Jf
$Ljy; tpdhf;fs;
14. ________ vdg;gLtJ G+kpapd; mbg;Gwj;jpy; mike;Js;s NrW kw;Wk; jhJf;fs; mlq;fpa
23. fhl;rpj;njhlu;G
I. rupahd tpiliaj; Nju;e;njL.
1. mirt+l;Lk; fhnzhspfis cUthf;f gad;gLk; nkd;nghUs; vJ? [PTA – 3]
m) Paint M) PDF ,) MS Word <) Scratch
2. gy Nfhg;Gfs; Nrkpf;fg;gLk; ,lk; [MDL – 19]
m) Nfhg;Gj; njhFg;G M) ngl;b ,) paint <) ];NfdH
3. epuy; (Script) cUthf;fg; gad;gLtJ vJ? [PTA – 1]
m) Script area M) Block palette ,) Stage <) Sprite
4. epuyhf;fj;ijj; njhFf;fg; gad;gLtJ vJ? (my;yJ) fPo;f;fz;ltw;Ws; vJ epuyhf;fj;ijj;
jpUj;jg; gad;gLfpwJ? [PTA – 2]
m) Inkscape M) Script editor ,) Stage <) Sprite
5. gpshf;Ffis (Block) cUthf;f gad;gLtJ vJ?
m) Block palette M) Block menu ,) Script area <) Sprite
$Ljy; tpdhf;fs;
6. fzpg;nghwpapy; Fwpg;Gfisr; Nrfupj;J itf;f ________ gad;gLfpwJ. [PTA – 4]
m) notepad M) paint ,) scanner <) scratch
7. ngUk;ghyhdtHfshy; jq;fsJ fzpdpfspy; gad;gLj;jg;gLk; ,af;f nkd;nghUs;fs;
_____ kw;Wk; ________. [PTA – 5]
m) Mac, Amiga M) Solaris, iOS ,) Windows, LINUX <) Android, Minix 3
8. fzpdpapy; ,lk;ngw;wpUf;Fk; nrayp %yk; cUthf;fg;gLk; ve;j xU ntspaPLk; _______
vd;w Fwpf;fg;gLfpwJ. [PTA – 6]
m) fl;lis M) Nfhg;Gj; njhFg;G ,) Nfhg;G <) ngapz;L
II. nghUj;Jf.
,uz;L kjpg;ngz;fs;
1. ,af;f tpjpfs;
1. epiykk; vd;gJ ahJ? mjd; tiffs; ahit? [AUG – 2022]
xt;nthU nghUSk; jd; kPJ rkd;nra;ag;glhj Gwtpir VJk; nray;glhj tiuapy;>
jkJ Xa;T epiyia> my;yJ Neu;f;Nfhl;L ,af;f epiyia khw;Wtij vjpu;f;Fk;
jd;ik ‘epiykk;’ vdg;gLk;.
epiykj;jpd; tiffs; :
Xa;tpy; epiykk; ,af;fj;jpy; epiykk; jpirapy; epiykk;
2. nray;gLk; jpir rhHe;J tpirapid vt;thW gpupf;fyhk;? [AUG – 2022]
nray;gLk; jpir rhHe;J tpirapd; tiffs; :
(i) xj;j ,iztpirfs; (ii) khWgl;l ,iztpirfs;
3. 5 N kw;Wk; 15 N tpir kjpg;Gila ,U tpirfs; vjpnujpu; jpirapy; xNu Neuj;jpy;
nghUs; kPJ nray;gLfpd;wd. ,itfspd; njhFgad; tpir kjpg;G ahJ? vj;jpirapy;
mJ nray;gLk;?
nfhLf;fg;gl;lit> F1 = 5N F2 = 15 N
FnjhF = F2 − F1 = 15 − 5 = 10 N.
njhFgad; tpir kjpg;G 10 N kw;Wk;; 15 N kjpg;Gila jpirapy; nray;gLk;.
4. epiw - vil> ,tw;iw NtWgLj;Jf. [MAY - 2022]
epiw vil
1. ,J xU nghUspy; mlq;fpAs;s 1. ,J xU nghUspd; kPJ nray;gLk; <u;g;G
gUg;nghUspd; msthFk;. tpirapd; kjpg;G MFk;.
2. ,jd; SI myF fpNyhfpuhk; (Kg). 2. ,jd; SI myF epa+l;ld; (N).
3. ];Nfyhu; msT. 3 ntf;lhu; msT.
4. ,J mbg;gil msthFk;. 4. ,J ngwg;gl;l msthFk;.
5. epiwahdJ ,lj;jpw;Nfw;g khWglhJ. 5. vilahdJ GtpaPu;g;G KLf;fj;jpw;Nfw;g khWgLk;.
5. ,ul;ilapd; jpUg;Gj;jpwd; tiuaW.
tpirapd; vz;kjpg;G kw;Wk; ,iztpirfSf;F ,ilNa cs;s nrq;Fj;Jj; njhiyT
Mfpatw;wpd; ngUf;fw;gyd; ,ul;ilapd; jpUg;Gj;jpwd; MFk;. ,jd; SI myF epA+l;ld; kPl;lu;(Nm).
𝐌 = 𝐅 × 𝐒.
6. jpUg;Gj;jpwd; jj;Jtk; tiuaW.
rkepiyapy; cs;s NghJ xU Gs;spapd; kPJ nray;gLk; midj;J tpirfspd;
jpUg;Gj;jpwd;fspd; $Ljy; Ropf;F rkkhFk;.
tyQ;Rop jpUg;Gj;jpwd; = ,lQ;Rop jpUg;Gj;jpwd;
7. epa+l;ldpd; ,uz;lhk; tpjpapid $W. [MDL – 19, MAY - 2022]
nghUs; xd;wpd; kPJ nray;gLk; tpirahdJ mg;nghUspd; ce;j khWghl;L tPjj;jpw;F
NeHjftpy; mikAk;. NkYk; ,e;j ce;j khWghL tpirapd; jpirapNyNa mikAk;.
𝐅 = 𝒎𝒂
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8. ngupa thfdq;fspy; jpUFkiwfis (nuts) Row;wp ,Wf;fk; nra;a ePskhd ifg;gpbfs;
nfhz;l jpUFf;FwL (spanner) gad;gLj;jg;gLtJ Vd;?
,iztpirfSf;F ,ilNa cs;s nrq;Fj;J njhiyTf;Fk; kw;Wk; Roy;
mr;Rf;Fk; ,ilNa cs;s J}uk; mjpfkhf ,Uf;Fk;NghJ> ,ul;ilapd;
jpUg;Gj;jpwd; mjpfkhf ,Uf;Fk;.
vdNt> ngupa thfdq;fspy; jpUFkiwfis Row;wp ,Wf;fk; nra;a ePskhd
ifg;gpbfs; nfhz;l jpUFf;FwL gad;gLj;jg;gLj;jg;gLfpwJ.
$Ljy; tpdhf;fs;
11. nrhFRg; NgUe;Jfspy; mjpu;TWQ;rpfs; gad;gLj;jg;gLfpwJ. Vd;? [PTA – 2]
mjpu;TwpQ;rpfs; nrhFR NgUe;Jfspy; trjpahd gazj;jpw;fhf gad;gLj;jg;gLfpwJ.
Vnddpy;> Nrjkile;j rhiyfshy; NgUe;jpy; Vw;gLk; Njitaw;w mjpu;Tfis
cwpQ;rpf;nfhz;L ek;ik ghJf;fhf;fpwJ.
12. epyeLf;Nfhl;Lg; gFjpia tpl JUtg; gFjpapy; Mg;gps;fspd; vil mjpfk;. Vd;? [PTA – 3]
vil Gtpapd; Gtp<u;g;G KLf;fj;ij rhu;e;jpUf;Fk;. Gtp<u;g;G KLf;fk; epyeLf;Nfhl;Lg;
gFjpia tpl JUtg;gFjpapy; mjpfkhf ,Uf;Fk;.
vdNt> epyeLf;Nfhl;Lg; gFjpia tpl JUtg;gFjpapy; Mg;gpspd; vil mjpfkhf ,Uf;Fk;.
2. xspapay;
1. xsptpyfy; vz; vd;why; vd;d?
ntw;wplj;jpy; xspapd; jpirNtfj;jpw;Fk; (c) kw;NwhH Clfj;jpy; xspapd;
jpirNtfj;jpw;Fk; (v) ,ilNa cs;s jfT xsptpyfy; vz;(μ) vdg;gLk;.
𝐜
𝛍=
𝐯
2. ];ney; tpjpiaf; $Wf (my;yJ) xsptpyfypd; ,uz;lhk; tpjpiaf; $Wf. [AUG– 2022]
gLNfhzj;jpd; ird; kjpg;gpw;Fk;> tpyF Nfhzj;jpd; ird; kjpg;gpw;Fk; ,ilNa cs;s
jfthdJ mt;tpU Clfq;fspd; xsptpyfy; vz;fspd; jftpw;F rkk;.
𝐬𝐢𝐧 𝒊 𝝁𝟐
=
𝐬𝐢𝐧 𝒓 𝝁𝟏
3. ntg;g ,aw;gpay;
1. xU fNyhup tiuaW. [AUG – 2022, MDL – 19]
xU fpuhk; epiwAs;s ePhpd; ntg;gepiyia 1°C cau;j;jj; Njitg;gLk; ntg;g Mw;wypd;
msT xU fNyhhp vdg;gLk;.
2. ePs; ntg;g tpupT kw;Wk; gug;G ntg;g tpupT – NtWgLj;Jf.
ePs; ntg;g tpupT gug;G ntg;g tpupT
1. xU jplg;nghUis ntg;gg;gLj;Jjypd; 1. xU jplg;nghUis ntg;gg;gLj;Jjypd;
tpisthf> mg;nghUspd; ePsk; tpisthf> mg;nghUspd; gug;G
mjpfupg;gjhy; Vw;gLk; tpupT ePs; ntg;g mjpfupg;gjhy; Vw;gLk; tpupT gug;G
tpupT vdg;gLk;. ntg;g tpupT vdg;gLk;.
∆L ∆A
2. ePs; ntg;g tpupT Fzfk;> 𝛼𝐿 = 2. gug;;G ntg;g tpupT Fzfk;> 𝛼𝐴 =
L0 ∆𝑇 A0 ∆𝑇
∆V
αv =
Vₒ ∆T
𝐕
𝐕∝𝐓 (i.e.) = khwpyp
𝐓
gUkDf;Fk; cs;s jfT cz;ik ntg;gtpupT Fzfk; vdg;gLk;. ,jd; SI myF nfy;tpd;-1.
gUkDf;Fk; cs;s jfT Njhw;w ntg;gtpupT Fzfk; vdg;gLk;. ,jd; SI myF nfy;tpd;-1.
$Ljy; tpdhf;fs;
9. mtNfl;Nuh tpjpiaf; $Wf. [SEP – 2021]
𝐕
V∝ 𝐧 (my;yJ) = khwpyp
𝐧
cs;s FspHe;j ePUk; cs;sJ vdpy; ve;j if mjpf msT FspHr;rpapid czUk;. Vd;?
fhuzk; :
4. kpd;Ndhl;ltpay;
1. kpd;dOj;jk; kw;Wk; kpd;dOj;j NtWghL tiuaW?
kpd;dOj;jk; : xU Gs;spapy; kpd;dOj;jk; vd;gJ XuyF Neu;kpd;D}l;lj;ij Kbtpy;yh
njhiytpy; ,Ue;J kpd;tpirf;F vjpuhf mg;Gs;spf;F nfhz;Ltu nra;ag;gLk; Ntiy MFk;.
kpd;dOj;j NtWghL : ,U Gs;spfSf;F ,ilNa cs;s kpd;dOj;j NtWghL vd;gJ
xU Gs;spapypUe;J kw;nwhU Gs;spf;F XuyF Neu; kpd;D}l;lj;ij kpd;tpyf;F tpirf;F
vjpuhf efu;j;j nra;ag;gLk; Ntiy MFk;.
nra;ag;gl;l Ntiy (𝐖)
kpd;dOj;j NtWghL (V) =
kpd;D}l;lk; (𝐐)
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5. xypapay;
1. xypahdJ Nfhil fhyq;fis tpl kiof; fhyq;fspy; Ntfkhfg; guTtJ Vd;? [PTA – 6]
<ug;gjj;jpdhy; fhw;wpd; mlu;j;jp Fiwe;J> xypapd; jpirNtfk; mjpfupf;fpwJ.
vdNt> xypahdJ Nfhil fhyq;fis tpl kiof; fhyq;fspy; Ntfkhfg; guTfpwJ.
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,uz;L kjpg;ngz;fs; 9
6. mZf;fU ,aw;gpay;
1. ,aw;if kw;Wk; nraw;if fjpupaf;fj;jpd; VNjDk; %d;W gz;Gfis vOJf.
,aw;iff; fjpupaf;fk; nraw;iff; fjpupaf;fk;
1. jd;dpr;irahd epfo;T. J}z;lg;gl;l epfo;T.
2. fl;Lg;gLj;j KbahJ. fl;Lg;gLj;j KbAk;.
3. My;gh> gPl;lh kw;Wk; fhkhf; fjpu;fs; mbg;gil Jfs;fshd epA+l;uhd;> ghrpl;uhd;
ckpog;gLfpd;wd. Nghd;w Jfs;fs; ckpog;gLfpd;wd.
2. tiuaW : khWepiy epiw.
njhlu;tpidiaj; njhlu;e;J epiy epWj;Jtjw;F Njitahd gpsTg; nghUs;fspd;
Fiwe;j msT epiwia ‘khWepiy epiw’ (mc) vd miof;fg;gLk;.
Fiw khWepiy epiw : khWepiy epiwia tplg; gpsTg; nghUs;fspd; epiw FiwT.
kpif khWepiy epiw : khWepiy epiwia tplg; gpsTg; nghUs;fspd; epiw mjpfk;.
3. tiuaW : uhz;l;[d;
xU uhz;l;[d; vd;gJ epiyahd mOj;jk;> ntg;gepiy kw;Wk; <ug;gj epiyapy;
1 fpNyhfpuhk; fhw;wpy; fjpupaf;fg; nghUshdJ 2.5810-4 $Yk; kpd;D}l;lq;fis
cUthf;Fk; msthFk;.
4. rhb kw;Wk; /g[d;]pd; ,lk;ngau;T tpjpiaf; $Wf.
i) fjpupaf;fj; jdpkk; xd;W xU 𝛼-Jfis ckpOk; NghJ mjd; epiw vz;zpy; ehd;F
kw;Wk; mZ vz;zpy; ,uz;L vd;w mstpy; Fiwe;J Gjpa Nra; cl;fU cUthFk;.
ii) fjpupaf;fj; jdpkk; xd;W 𝛽-Jfis ckpOk;NghJ mjd; epiw vz; khwhkYk; mZ
vz;zpy; xd;W mjpfupj;Jk; Gjpa Nra; cl;fU cUthFk;.
5. mZf;fU ciyapy; cs;s fl;Lg;gLj;Jk; fopfspy; nray;ghLfisj; jUf. (my;yJ)
fl;Lg;gLj;Jk; fopfs; vd;why; vd;d? [PTA – 3]
njhlu;tpidia epiyepWj;jp epA+l;uhd;fspd; vz;zpf;ifiaf; fl;Lg;gLj;Jtjw;fhfg;
gad;gLtJ fl;Lg;gLj;Jk; fopfshFk;. v.fh : Nghuhd; kw;Wk; fhl;kpak; fopfs;.
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6. [g;ghdpy; ,uz;lhk; cyfg;NghUf;Fg; gpwF Gjpjhfg; gpwf;Fk; rpy Foe;ijfSf;Fg;
gpwtpf; FiwghLfs; fhzg;gLtJ Vd;?
[g;ghdpy; ntbj;j mZFz;Lfs;> midj;J capupdq;fSf;Fk; jPq;fpiof;ff; $ba
fhkh Nghd;w Mgj;jhd fjpu;tPr;Rfis ntspapl;L kugZ Neha;fis Vw;gLj;JfpwJ.
fjpu;tPr;Rf;F MshFk; jha;khu;fSf;F gpwf;Fk; Foe;ijfs; gpwtp FiwghLfSld; cs;sdu;.
7. mZf;fSk; %yf;$WfSk;
1. xg;G mZepiw - tiuaW. (my;yJ) jpl;l mZ vil tiuaW. [AUG – 2022, PTA – 3]
xU jdpkj;jpd; xg;G mZepiw vd;gJ mj;jdpkj;jpd; INrhNlhg;Gfspd; ruhrhp
mZepiwf;Fk; C-12 mZtpd; epiwapy; 1/12 gq;fpd; epiwf;Fk; cs;s tpfpjkhFk;.
xU jdpkj;jpd; INrhNlhg;Gfspd; ruhrup mZepiw
xg;G mZepiw 𝐀 𝐫 =
xU C-12d; mZ epiwapy; 1/12 gq;fpd; epiw
$Ljy; tpdhf;fs;
7. 36 fp ePupy; cs;s %yf;$Wfspd; vz;zpf;ifia fhz;f. [MDL – 19]
epiw
%yf;$Wfspd; vz;zpf;if = × mtfhl;Nuh vz;
%yf;$W epiw
36
= × 6.023 × 1023 = 12.046 × 1023
18
8. xU Nru;kj;jpy; fhHgdpd; epiw rjtPjk; 27.28% Mf;rp[dpd; epiw rjtPjk; 72.73%
mr;NrHkj;jpd; %yf;$W epiwiaf; fzf;fpLf. [PTA – 4]
fhHgdpd; epiw rjtPjk; 27.28
fhHgd; Nkhy;fspd; vz;zpf;if = = = 2.27 ≅ 2
fhHgd; mZtpd; epiw 12
Mf;rp[dpd; epiw 72.73
Mf;rp[d; Nkhy;fspd; vz;zpf;if = = = 4.54 ≅ 4
Mf;rp[d; mZtpd; epiw 16
> 1370 𝐾
4 Cu + O2 → 2 Cu2O
(C) Fg;u]; Mf;irL (rptg;G)
2. A vd;gJ nts;spapd; ntz;ik nfhz;l cNyhfk;. A MdJ 'O2' cld; 800°C apy;
tpidGhpe;J Bia cUthf;Fk;. Aapd; cNyhff; fyit tpkhdj;jpd; ghfq;fs;
nra;ag;gad;gLk;. A kw;Wk; B vd;d? [PTA – 1]
4 Al + 3O2 2 Al2O3
(A) (B) mYkpdpak; Mf;irL
9. ‘X’ vd;w jdpkk; etPd jdpktupir ml;ltizapy; 1-tJ njhFjpia Nru;e;jJ. X vd;gJ
xU thA NkYk; mjDila rfg;gpizg;G Mu kjpg;G 0.37 A°. X If; fz;lwpe;J mjd;
Ntjpf; FwpaPl;il vOJf. [PTA – 6]
i`l;u[d; (X), %yf;$wpd; FwpaPL H / H2.
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9. fiury;fs;
1. fiury; - tiuaW.
,J ,uz;L my;yJ mjw;F Nkw;gl;l nghUl;fisf; nfhz;l xUgbj;jhd fyitahFk;.
v.fh : fly; ePu;. fiunghUs; - Fiwe;j msT vil; fiug;ghd; - mjpf msT vil
2. ,Ukbf;fiury; vd;why; vd;d?
xU fiunghUisAk;> xU fiug;ghidAk; nfhz;bUf;Fk; fiury; ,Ukbf;fiury; vdg;gLk;.
v.fh : ePupy; fiuf;fg;gl;l fhg;gu; ry;Ngl;.
3. fPof; ;fz;ltw;Wf;F jyh xU vLj;Jf;fhl;L jUf. [PTA – 1]
i) jputj;jpy; thA : Nrhlh ePu;
ii) jputj;jpy; jpz;kk; : ePupy; fiuf;fg;gl;l Nrhbak; FNshiuL.
iii) jpz;kj;jpy; jpz;kk; : jq;fj;jpy; fiuf;fg;gl;l fhg;gu;
iv) thAtpy; thA : Mf;]p[d; - `Pypak; thAf;fyit.
4. ePu;f;fiury; kw;Wk; ePuw;w fiury; vd;why; vd;d? vLj;Jf;fhl;L jUf.
ePu;f;fiury; : ,J ePiu fiug;ghdhff; nfhz;l fiury;;.v.fh : ePupy; fiuf;fg;gl;l ru;f;fiu.
ePuw;w fiury; : ,J ePiu jtpu gpw jputq;fis fiug;ghdhff; nfhz;l fiury;;. v.fh : fhu;gd;
il ry;igby; fiuf;fg;gl;l ry;gu;.
5. fdmsT rjtPjk; - tiuaW.
xU fiurypy; cs;s fiunghUspd; fdmsit rjtPjj;jpy; Fwpj;jhy;> fdmsT rjtPjk; vdg;gLk;.
fiunghUspd; fdmsT
fdmsT rjtPjk; = × 100
(fiunghUspd; fdmsT + fiug;ghdpd; fdmsT)
9. fPof
; ;fhZk; $w;Wf;fis Muha;e;J mtw;Ws; vj;jdhy; kw;wk; vj;jdhapf; mkpyj;jpw;fhd
nghUj;jkhd $w;Wf;fis tifg;gLj;Jf. [PTA – 4]
m) ,jd; 95.5% Kk; ePUk; Nru;e;j fiury; vuprhuhak; vdg;gLk;. – vj;jdhy;
M) ,r;Nru;kj;jpd; J}a tif ciwAk; nghOJ gdpf;fl;b Nghd;w gbfq;fshfpd;wd.
– vj;jdhapf; mkpyk;
,) ,r;Nru;kj;jpid Nrhlhr; Rz;zhk;G nfhz;L ntg;gg;gLj;Jk; nghOJ fhu;ghf;rpy;
ePf;fk; eilngWfpwJ. – vj;jdhapf; mkpyj;jpd; Nrhbak; cg;G
10. A vd;w Nru;kk; xU epwkw;w jputk; kw;Wk; vhpRit nfhz;lJ. Nru;kk; A apd; Mtpia
573 K ntg;gepiyapy;> R+Nlw;wg;gl;l jhkpuj;jpd; kPJ nrYj;Jk; NghJ i`l;u[d; ePf;fk;
eilngw;W mrpl;lhy;bi`L cUthfpwJ. Nru;kk; A If; fz;lwpf. ,t;Ntjptpidapy;
jhkpuj;jpd; gq;F vd;d? ,t;Ntjptpidf;fhd rkd;nra;ag;gl;l Ntjpr; rkd;ghl;il vOJf.
Nru;kk; A vd;gJ vj;jdhy;> CH3CH2-OH. [PTA – 6]
jhkpuk; tpidA+f;fpahf gad;gLfpwJ.
𝐂𝐮
CH3CH2OH →573 K CH3CHO + H2↑
vj;jdhy; mrpl;lhy;bi`L
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7. xspr;Nru;f;ifapd; NghJ ,Us; tpidf;F Kd;G Vd; xsp tpid eilngw Ntz;Lk;?
,Us; tpidapd; NghJ> xsptpidapy; cUthfpd;w ATP kw;Wk; NADPH2 Mfpatw;wpd;
cjtpahy; CO2-it> fhu;Nghi`l;Nul;lhf xLf;fkilfpwJ.
vdNt> ,Us; tpidf;F Kd;G xsp tpid eilngw Ntz;Lk;.
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,uz;L kjpg;ngz;fs; 21
$Ljy; tpdhf;fs;
9. xspr;Nru;f;ifia ghjpf;Fk; fhuzpfis vOJf. 11. ,Utpijapiyj; jhtu Ntu; (m)
[AUG – 2022] mtiu Ntupd; cs;sikg;igg;
ntspf;fhuzpfs; → R+upa xsp> ntg;gepiy> glk; tiue;J ghfq;fis Fwp.
fhu;gd; il Mf;i]L> ePu; kw;Wk; fdpkq;fs;.
cl;Gwf; fhuzpfs; → epwkpfs;> ,iyapd; [PTA – 6]
taJ> fhu;Nghi`l;Nul;bd; nrwpT &
`hu;Nkhd;fs;.
12. cly; ,uj;j Xl;lk; kw;Wk; EiuaPuy; ,uj;j Xl;lj;jpid NtWgLj;Jf. [PTA – 2]
13. ,ja Row;rpapd; epfo;thdJ 0.8 tpdhbfspy; epiwtilfpwJ vdpy;> xt;nthU epfo;tpd;
fhy msitAk; Fwpg;gpLf?
Vl;upay; rp];Nlhy; ⟶ 0.1 tpdhb ntz;l;upf;Fyhu; rp];Nlhy; ⟶ 0.3 tpdhb
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$Ljy; tpdhf;fs;
14. ePuhtpg; Nghf;F eilngWk; epfo;r;rpapd; 15. Jfs;fSila nry;fspd; glq;fis
glk; tiue;J ghfq;fis Fwpf;fTk;. tiuf. [AUG – 2022, MAY-2022]
[MAY-2022]
16. kdpj ,jaj;jpd; ntspg;Gw mikg;ig glk; tiue;J ghfq;fs; Fwpf;fTk;. [SEP - 2020]
$Ljy; tpdhf;fs;
7. nray;ghl;bd; mbg;gilapy; epA+uhd;fis tifg;gLj;Jf. [PTA – 3]
i) czu;r;rp/ cl;nry; euk;Gr;nry;:
$Ljy; tpdhf;fs;
13. glj;jpy; cs;s egiug; ghjpj;Js;s Fiwghl;bid milahsk; fhz;f? ,J Vd; Vw;gLfpwJ?
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3. nre;jpYf;F> mjpf ,uj;j mOj;jk;> gpJq;fpa fz;fs; kw;Wk; mjpfkhd cly; ntg;gepiy
cs;sJ. ,e;epiyf;Ff; fhuzkhd ehskpy;yhr; Rug;gpia milahsk; fz;L mjpy;
Ruf;Fk; ve;j `hHNkhd;> ,e;epiyf;Ff; fhuzk; vdf; fz;lwpe;J vOJf.
,e;epiyf;Ff; fhuzk; ijuha;L Rug;gp kw;Wk; ijuha;L `hh;Nkhd;fs; MFk;.
4. rQ;ra; NjHtiwapy; mkHe;jpUe;jhd;. NjHT Jtq;Fk; Kd;> mtDf;F mjpfg;gbahd
tpaHitAk;> ,jaj;Jbg;Gk; fhzg;gl;ld. ,e;epiy mtDf;F Vd; Vw;gLfpwJ?
mtru fhy `hh;Nkhd;fs; Rug;gjdhy; rQ;ra;f;F ,e;epiy Vw;gl;lJ.
18. kugpay;
1. nkz;ly; jd; Ma;tpw;F Vd; Njhl;lg; gl;lhzpr; nrbiaj; Nju;e;njLj;jhu;? [MAY - 2022]
,jpy; ,aw;ifahf jd; kfue;jr; Nru;f;if eilngWtjhy;> J}a jhtuq;fisg; ngWtJ vspJ.
,jd; tho;f;iff; fhyk; kpff; FWfpaJ. vdNt> FWfpa fhyj;jpy; gy jiyKiwfis
mwpe;J nfhs;syhk;.
,jpy; may; kfue;jr; Nru;f;if nra;tJ kpfTk; vspJ.
Mokhf tiuaWf;fg;gl;l gy NtWgl;l gz;Gfisf; nfhz;Ls;sJ.
kyu;fs; midj;Jk; ,Ughy; jd;ik nfhz;lit.
2. gPNdhilg;> [PNdhilg; gw;wp ePtPu; mwptJ vd;d? [AUG – 2022]
gPNdhilg; - ,J xU Fwpg;gpl;l gz;gpd; ntspj;Njhw;wk; MFk;.
[PNdhilg; - ,J jhtuq;fspd; [Pdhf;fk; MFk;.
3. my;NyhNrhk;fs; vd;why; vd;d? my;yJ ghy; FNuhNkhNrhk; tiuaW. [PTA – 2]
my;NyhNrhk;/n`l;bNuhNrhk;fs;/ghy; FNuhNkhNrhk;fs;: ,J xU capupapd; ghiy epu;zapf;Fk;
FNuhNkhNrhk;;. v.fh: kdpj Mz;fs; XY, ngz;fs; XX FNuhNkhNrhk;fis ngw;Ws;sd.
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4. xfrhfp Jz;Lfs; vd;why; vd;d? [PTA – 4]
gpd;jq;fpa ,ioapy; cUthFk; b.vd;.V-tpd; rpwpa gFjpfs; xfrhfp Jz;Lfs; MFk;.
5. jhtuq;fs; kw;Wk; tpyq;Ffspy; A+gpsha;b epiy rhjfkhdjhf Vd; fUjg;gLfpwJ?[PTA – 1]
jhtuq;fspy; A+gpsha;b epiyapdhy; ngupa goq;fs; kw;Wk; G+f;fs; cz;lhfpd;wd.
tpyq;Ffspy; A+gpsha;b rhjfkhf ,y;iy. ,e;epiyapdhy; kyl;Lj;jd;ik kw;Wk;
Neha;fs;; cUthfpd;wJ.
6. xU J}a nel;ilj; jhtukhdJ (TT) J}a Fl;ilj; jhtuj;Jld; (tt) fyg;G
nra;ag;gLfpwJ. ,jpy; Njhd;Wk; F1 kw;Wk; F2 jiyKiw jhtuq;fs; vt;tif
jd;ikAilad vd;gij tpsf;Ff. [PTA – 5]
F1 jiyKiw F2 jiyKiw
T T T t
t Tt Tt T TT Tt
t Tt Tt t Tt tt
gPNdhilg;: midj;J nel;ilj; jhtuq;fs; gPNdhilg;: 3nel;il kw;Wk; 1 Fl;ilj; jhtuk; = 3 : 1
[PNdhilg;gpf; tpfpjk;: midj;Jk; Tt [PNdhilg;gpf; tpfpjk;: TT : Tt : tt = 1 : 2 : 1
2. Mu;ff
; pahg;nlupf;]; ,izg;G capupahf Vd; fUjg;gLfpwJ?
,J gwitfis Nghy ,wFfSld; $ba ,wf;iffis ngw;wpUe;jJ.
,J Cu;td Nghy; ePz;l thy;> efKila tpuy;fs;> $k;G tbtg; gw;fisAk; ngw;wpUe;jJ.
4. Gij capu;g; gbtq;fspd; fhyj;ij vt;thW mwpe;J nfhs;s ,aYk;? [SEP–20, MDL–19]
gbtq;fspd; tajpid mtw;wpy; cs;s fjpupaf;fj; jdpkq;fshd fhu;gd;> fhuPak;
$Ljy; tpdh
5. gupzhkk; vd;why; vd;d? gupzhkf; Nfhl;ghLfis Kd;nkhope;jthfs;; ahh;?
gupzhkk; vd;gJ fhy khw;wj;jpw;F Vw;g capupdq;fspy; gbg;gbahfj; Njhd;wpa khw;wq;fs;.
gupzhkf; Nfhl;ghLfis Kd;nkhope;jtu;fs; yhkhu;f; kw;Wk; lhu;tpd;. [MAY-2022, SEP-2021]
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$Ljy; tpdh
8. [Pd; rpfpr;ir Kiw gw;wp tpsf;Ff. [SEP – 2020]
[Pd; rpfpr;ir: kdpjdpy; FiwghLs;s [Pd;fSf;F gjpyhf jpUj;jg;gl;l> nray;gLk; [Pd;fis
,lk; khw;wp kuG Neha;fisAk;> FiwghLfisAk; rupnra;Ak; KiwNa [Pd; rpfpr;ir
MFk;. [Pd;fs; kWNru;f;if b.vd;.V njhopy;El;gj;jpw;F cl;gLj;jg;gl;L jpUj;jg;gLfpd;wd.
,U tiffs;: i) cly nry; [Pd; rpfpr;ir ii) ,d(m)fUepiy nry; [Pd; rpfpr;ir
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IX. cau; rpe;jidf;fhd tpdhf;fs;
1. “gd;kak; ,uhl;rjj; jd;ikia gz;ghff; nfhz;lJ” ,f;$w;iw rupahd fhuzj;Jld; tptup.
gd;kaj;jpy; FNuhNkhNrhk; vz;zpf;if mjpfupg;gjhy;> nry;fspd; cUtk; ngupjhfpwJ.
,jdhy; ngupa jz;L> ,iyfs;> G+f;fs; kw;Wk; fdpfs; cUthfpd;wd.
vdNt> gd;kak; ,uhl;rjj; jd;ikia gz;ghff; nfhz;lJ.
2. P vd;w [Pd; itl;lkpd; A cw;gj;jpf;Fj; Njitg;gLfpwJ. ,J ‘R’ vd;w kuGg;gz;G
khw;wg;gl;l jhtuj;ij cw;gj;jpr; nra;a ‘Q’ tpd; [PNdhKld; ,izf;fg;gLfpwJ.
m) P, Q kw;Wk; R vd;gd ahit?
P → gPl;lh fNuhl;bd;
Q → rhjhuz muprp ufk;
R → Nfhy;ld; muprp
23. fhl;rpj;njhlu;G
1. ];fpuhr;R (Scratch) vd;why; vd;d?
mirt+l;ly;fisAk;> Nfypr;rpj;jpuq;fisAk;> tpisahl;LfisAk; vspjpy;
cUthf;fg; gad;gLk; xUnkd;nghUNs ];fpuhr;R MFk;.
,J xU fhl;rp epuy; nkhop MFk;.
vk;Ib (MIT) vd;Dk; gy;fiyj; njhopy;El;g Ma;tfk; ,e;epuiy vspjhfTk;>
Ntbf;ifahfTk; fw;Fk; tz;zk; mikj;Js;sJ.
2. jpUj;jp (EDITOR) Fwpj;Jk; mjd; gFjpfs; Fwpj;Jk; vOJf?
];fpupg;l;/fh];bA+k; vbl;lH : epuy;fisAk; ,];gpiul; glq;fisAk; ehk; khw;w KbAk;.
i) Script Area : ,q;F epuy; fl;likf;fg;gLfpwJ.
ii) Block Menu : ,q;F gpshf;F tifiaj; NjHT nra;a KbAk;.
iii) Block Palette : ,q;F gpshf;Ffis NjHT nra;ayhk;.
3. Nkil (STAGE) vd;why; vd;d? [SEP - 2020]
];fpuhr;R rhsuj;ij jpwf;Fk; NghJ fpilf;Fk; gpd;dzpia Nkil vd;gH.
,jd; gpd;dzp epwk; nts;isahf ,Uf;Fk;. Njitg;gbd; gpd;dzp epwj;ij khw;wyhk;.
Ie;J kjpg;ngz;fs;
1. ,af;f tpjpfs;
1. epiykj;jpd; gy;NtW tiffis vLj;Jf;fhl;LfSld; tpsf;Ff. [AUG –2022, PTA – 3]
epiykq;fspd; tiffs; :
m) Xa;tpy; epiykk; :
epiyahf cs;s xt;nthU nghUSk; jkJ xa;T epiy khw;wj;ij vjpHf;Fk; gz;G MFk;.
v.fh : fpisfis cYf;fpag;gpd; kuj;jpypUe;J fPNo tpOk; ,iyfs;> goq;fs;.
M) ,af;fj;jyp ; epiykk; :
,af;f epiyapy; cs;s nghUs; ,af;f epiy khw;wj;ij vjpHf;Fk; gz;G MFk;.
v.fh : ePsk; jhz;Ljy; Nghl;bapy; cs;s Nghl;bahsH rpwpJ J}uk; XLtJ.
,) jpirapy; epiykk; :
,af;f epiyapy; cs;s nghUs; ,aq;Fk; jpirapy; ,Ue;J khwhJ> jpir
khw;wj;jpid vjpHf;Fk; gz;G MFk;.
v.fh : XLk; kfpOe;J tisghijapy; nry;Yk; NghJ gazpaH> xU gf;fkhf rha;tJ.
2. epa+l;ldpd; ,af;fj;jpw;fhd tpjpfis tpsf;Ff. [AUG – 2022, SEP – 2021]
m) epa+l;ldpd; Kjy; ,af;f tpjp :
xt;nthU nghUSk; Gwtpir VJk; nray;glhj tiuapy;> jkJ xa;T epiyapNyh
my;yJ rPuhf ,aq;fp nfhz;bUf;Fk; NeHf;Nfhl;L epiyapNyh njhlHe;J ,Uf;Fk;.
M) epa+l;ldpd; ,uz;lhk; tpjp :
nghUs; xd;wpd; kPJ nray;gLk; tpirahdJ mg;nghUspd; ce;j khWghl;L tPjj;jpw;F
NeHjftpy; ,Uf;Fk;. NkYk; ,e;j ce;j khWghL tpirapd; jpirapNyNa mikAk;.
𝐅 = 𝒎𝒂
,) epa+l;ldpd; %d;whk; tpjp :
xt;nthU tpirf;Fk; rkkhd vjpHtpir cz;L. tpirAk;> vjpH tpirAk; vg;NghJk;
,U NtW nghUs;fs; kPJ nray;gLk;. FB = - FA
3. tpirapd; rkd;ghl;il epA+l;ldpd; ,uz;lhk; tpjp %yk; jUtp. (my;yJ) m epiw cila
nghUs; xd;W u vd;w Muk;g jpirNtfj;jpy; efu;fpwJ. F vd;w tpir nray;gl;L t vd;w
fhy ,ilntspapy; v vd;w jpirNtfkhf khw;wkile;J a vd;w mstpy; KLf;fkilfpwJ.
,j;juTfisf; nfhz;L tpir> epiw kw;Wk; KLf;fj;jpw;fhd njhlu;igj; jUtpf;fTk;.
epa+l;ldpd; ,uz;lhk; tpjp : [PTA – 5]
nghUs; xd;wpd; kPJ nray;gLk; tpirahdJ mg;nghUspd; ce;j khWghl;bw;F
NeHjftpy; ,Uf;Fk;. NkYk; ,e;j ce;j khWghL tpirapd; jpirapNyNa mikAk;.
tpirapd; rkd;ghL :
m → efUk; nghUspd; epiw u → Muk;g Ntfk;
F → rkepiyaw;w Gwtpir v → 't' Neu ,ilntspf;Fg; gpwF ,Wjp Ntfk;
nghUspd; njhlf;f ce;jk; 𝑃𝑖 = 𝑚𝑢
nghUspd; ,Wjp ce;jk; 𝑃𝑓 = 𝑚𝑣
ce;j khWghL> ∆𝑃 = 𝑃𝑓 − 𝑃𝑖
∆𝑃 = 𝑚𝑣 − 𝑚𝑢
ce;j khWghL
𝐹∝
fhyk;
𝑚𝑣−𝑚𝑢 𝑣−𝑢
𝐹= =𝑚 [ ];
𝑡 𝑡
𝑣−𝑢
F = ma ( ∵ a = )
𝑡
𝑚1 (𝑣1 − 𝑢1 ) = − 𝑚2 (𝑣2 − 𝑢2 )
𝑚1 𝑣1 − 𝑚1 𝑢1 = − 𝑚2 𝑣2 + 𝑚2 𝑢2
𝑚1 𝑣1 + 𝑚2 𝑣2 = 𝑚1 𝑢1 + 𝑚2 𝑢2
Nfhl;ghL epUgpf;fg;gl;lJ.
2. xspapay;
1. xspapd; VNjDk; Ie;J gz;Gfisf; $Wf. [MAY - 2022]
xsp vd;gJ xU tif Mw;wy;.
xsp vg;NghJk; NeHf;Nfhl;by; nry;fpwJ.
xsp guTtjw;F Clfk; Njitapy;iy. ntw;wplj;jpd; topahff; $l xspf;fjpH nry;Yk;.
-1
fhw;wpy; my;yJ ntw;wplj;jpy; xspapd; jpirNtfk; c = 3×108 kPtp
xspapd; ntt;NtW epwq;fs; ntt;NtW miy ePsq;fisAk;> mjpHntz;fisAk;
ngw;wpUf;Fk;.
$Ljy; tpdhf;fs;
5. AB vd;w nghUs; Ftpnyd;rpd; tisT ikak; C ,y; glj;jpy; fhl;bAs;sthW
itf;fg;gl;Ls;sJ. fjpH tiuglj;ij KOtJkhf tiuf. [PTA – 1]
Nfs;tp tpil
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6. njhiyNehf;fpfspd; ed;ikfs; kw;Wk; FiwghLfis vOJf.
njhiyNehf;fpfspd; ed;ikfs; : [PTA – 3]
Nfhs;fs;> tpz;kPdf
; s;> tpz;kPd; jpus;fs; Fwpj;J tpupthd ghHitiaj; jUfpwJ.
,jDld; xspg;glf;fUtpia ,izg;gjd; %yk; xspg;glk; vLf;fyhk;.
Fiwthd nrwpTila xspapYk; njhiyNehf;fpiag; gad;gLj;jyhk;.
njhiyNehf;fpfspd; FiwghLfs; :
,jid njhlHe;J guhkhpj;jy; Ntz;Lk;.
,jid vspjhf NtW ,lj;jpw;F vLj;J nry;y KbahJ.
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3. ntg;g ,aw;gpay;
1. ey;ypay;G thA rkd;ghl;bid jUtp.
PV = μNA k B T
,q;F μNA k B = R = 8.31 J mol−1 K−1 ‘R’ vd;gJ nghJ thA khwpyp.
∴ ey;ypay;G thA rkd;ghL my;yJ thAf;fspd; epiyr;rkd;ghL> 𝐏𝐕 = 𝐑𝐓
2. jputj;jpd; cz;ik ntg;g tphpT kw;Wk; Njhw;w ntg;g tpuptpid mstpLk; Nrhjidia
njspthd glj;Jld; tptup. [MDL – 19]
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4. kpd;Ndhl;ltpay;
1. %d;W kpd;jilfis (m) njhlu; ,izg;G (M) gf;f ,izg;gpy; ,izf;Fk; NghJ
fpilf;Fk; njhFgad; kpd;jilf;fhd Nfhitia jFe;j kpd;Rw;W glk; tiue;J fzf;fpL.
m) kpd;jilfs; njhlupizg;gpy; :
R1 , R 2 , R3 Mfpa njhlupizg;gpy; ,izf;fg;gl;Ls;s kpd;jilahf;fpfs;.
RS = njhFgad; kpd;jil. V1 , V2 , V3 = kpd;dOj;j NtWghLfs;
I vd;gJ kpd;jilahf;fpfspd; topNa nry;Yk; kpd;Ndhl;lk;
Xk; tpjpapd; gb>
V1 = IR1 ⟶ (1)
V2 = IR2 ⟶ (2)
V3 = IR3 ⟶ (3)
V = IRs ⟶ (4)
xt;nthU kpd;jilf;Fk; vjpuhf cs;s kpd;dOj;j
NtWghl;bd; $Ljy;>
V = V1 + V2 + V3 ⟶ (5)
⇒ IRs = IR1 + IR2 + IR3
Rs = R1 + R2 + R3
∴ vdNt> %d;W kpd;jilahf;fpfs; njhlu; ,izg;gpy; ,izf;fg;gLk;NghJ
njhFgad; kpd;jil jdpj;jdp kpd;jilahf;fpfspd; kpd;jilfspd; $LjYf;F rkk;.
M) kpd;jilfs; gf;f ,izg;gpy;: [PTA – 4]
R1 , R 2 , R3 Mfpa kpd;jilahf;fpfs; gf;f ,izg;gpy; ,izf;fg;gl;Ls;sJ.
Rp = njhFgad; kpd;jil.
kpd;dOj;j NtWghlhdJ midj;J kpd;jilahf;fpfSf;Fk; rkkhf ,Uf;Fk;.
Gs;sp Aia milAk; kpd;Ndhl;lk; I MdJ I1 , I2 , I3 vd gpupfpwJ.
Xk; tpjpapd; gb>
V
I1 = R ………………… (1)
1
V
I2 = R ………………… (2)
2
V
I3 = R ………………… (3)
3
V
I=R ………………… (4)
P
kpd;Rw;wpYs;s nkhj;j kpd;Ndhl;lk;
I = I1 + I2 + I3 ……………… (5)
V V V V
⇒ = + +
RP R1 R2 R3
1 1 1 1
= + +
RP R1 R2 R3
3. m) [{y; ntg;g tpjp tiuaW? (my;yJ) [{y; ntg;g tpjpg;gb xU kpd;jilapy; cUthFk;
ntg;gj;jpd; gz;Gfs; ,uz;bid vOJf.
xU kpd;jilapy; cUthFk; ntg;gkhdJ>
kpd;Ndhl;lj;jpd; ,Ukbf;F Neu;tpfpjj;jpYk;
kpd;jilf;F Neu; tpfpjj;jpYk;
fhyj;jpw;F Neu;tpfpjj;jpYk; ,Uf;Fk;.
H = 𝐈𝟐 𝐑 𝐭
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5. xypapay;
1. thAf;fspy; xypapd; jpirNtfj;ijg; ghjpf;Fk; fhuzpfs; vit?
i) mlu;j;jpapd; tpisT :
thAf;fspy; xypapd; jpirNtfk; mjd; mlu;j;jpapd; ,Ukb %yj;jpw;F vjpu; jftpy;
mikAk;.
1
V∝√
d
ii) ntg;gepiyapd; tpisT :
thAf;fspy; xypapd; jpirNtfk;> mjd; ntg;gepiyapd; ,Ukb %yj;jpw;F
Neu;j;jftpy; mikAk;.
V ∝ √T
ntg;gepiy 𝐓℃y; xypapd; jpirNtfkhdJ> VT = (V∘ + 0.61T) kPtp-1
V0 → 0℃ ntg;gepiyapy; thAf;fspy; xypapd; jpirNtfk;.
iii) xg;Gik <ug;gjj;jpd; tpisT :
fhw;wpd; <ug;gjk; mjpfupf;Fk; NghJ xypapd; jpirNtfk; mjpfupf;fpwJ. vdNt>
kiof; fhyq;fspy; njhiytpy; cs;s xypiaj; njspthf Nfl;f KbfpwJ.
2. xyp vjpnuhypj;jy; vd;why; vd;d? tptup: m) mlu;Fiw Clfj;jpd; tpspk;gpy; vjpnuhypg;G
M) mlu;kpF Clfj;jpd; tpspk;gpy; vjpnuhypg;G ,) tisthdg; gug;Gfspy; xyp vjpnuhypg;G
vjpnuhypj;jy; : xypahdJ xU Clfj;jpypUe;J kw;nwhU Clfj;jpw;F guTk; NghJ
,uz;lhtJ Clfj;jhy; vjpnuhypf;fg;gl;L Kjyhk; Clfj;jpw;F jpUg;gp mDg;gg;gLfpwJ.
m) mlu;Fiw Clfj;jpd; tpspk;gpy; vjpnuhypg;G :
jplg;nghUspUe;J fhw;W Clfj;jpd; tpspk;ig milAk; xyp miyapd;
,Wf;fq;fs;> F vd;w tpiria fhw;W Clfj;jpd; gug;gpy; nrYj;Jk;.
mlu;Fiw(fhw;W) Clfk; Fiwe;j msT cUf;Fiyf;Fk;
gz;ig ngw;Ws;sjhy; ,uz;ilAk; gpupf;Fk; Nkw;gug;G
gpd;Ndhf;fpj; js;sg;gLfpwJ.
,jdhy; ,lkpUe;J tykhf gazpj;j ,Wf;fq;fs;
vjpnuhypf;fg;gl;l gpd; jsu;r;rpfshf khwp tyJ
Gwj;jpypUe;J ,lJ Gwkhfg; guTfpwJ.
M) mlu;kpF Clfj;jpd; tpspk;gpd; vjpnuhypg;G :
xyp miyapd; ,Wf;fq;fs; ,lkpUe;J tykhf gutp xU
Rtupy; NkhJk; NghJ F vd;w tpiria nrYj;JfpwJ.
mNj Ntisapy; RtuhdJ mjw;F rkkhd kw;Wk; vjpu;
jpirapy; R = −F vd;w tpiria jpUk;g nrYj;Jk;.
,t;thW ,Wf;fq;fs; Rtupy; Nkhjp kPz;Lk;
,Wf;fq;fshfNt mjd; jpirapy; vjpnuhypf;fpwJ.
,) tisthdg; gFjpfspy; xyp vjpnuhypg;G :
xyp miyfs; tisthdg; gug;Gfspy; vjpnuhypf;Fk; NghJ mjd; nrwpT khWfpwJ.
Ftpe;j gFjpfspy; Nkhjp vjpnuhypf;Fk; NghJ vjpnuhypj;j miyfs; tpupe;J
mjd; nrwpT FiwfpwJ.
Fopthd gFjpfspy; Nkhjp vjpnuhypf;Fk; NghJ vjpnuhypapd; nrwpT xU
Gs;spapy; Ftpf;fg;gLfpwJ.
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3. m) kPnahyp mjpu;TWjy; vd;why; vd;d? [SEP - 2020]
20, 000 Hz-f;Fk; mjpfkhd mjpHntz; nfhz;lit kPnahyp mjpu;TWjy; MFk;. ,J
kdpj fhJfshy; czu KbahJ. v.fh : ntsthy;fs; Vw;gLj;Jk; xyp miyfs;.
M) kPnahyp mjpu;TWjypd; gad;fs; ahit?
ntl;Ljy; kw;Wk; fbdkhd nghUl;fis nghUj;j gad;gLfpwJ.
fUtpd; tsu;r;rpia fz;lwpa gad;gLfpwJ.
Rdhkp kw;Wk; epyeLf;fj;ij fz;lwpAk; Kd;dwptpg;ghdhfg; gad;gLfpwJ.
cly; cs;SWg;Gfis glnkLf;f cjTfpwJ.
Nrhdhupy;; gad;gLfpwJ.
fle;j njhiyT 𝟐𝐝
xypapd; jpirNtfk; = =
vLj;J nfhz;l Neuk; 𝐭
6. mZf;fU ,aw;gpay;
1. fl;Lg;gLj;jg;gl;l kw;Wk; fl;Lg;ghlw;w njhlu;tpidia tpsf;Ff.
njhlu;tpid :
njhlu;tpidapy; jd;guTjy; epfo;tpd; %yk; epA+l;uhd;fspd; vz;zpf;if ngUf;Fj;njhlu;
njhlu;tupirapy; kpfNtfkhf ngUf;fkilfpwJ.
v.fh : ANudpak; (U-235) mZf;fUtpid epA+l;uhd; nfhz;L jhf;Fk; NghJ
gpsTf;Fl;gl;L %d;W epA+l;uhd;fs; ntspNaw;wg;gLfpd;wd. ,e;J %d;W
epA+l;uhd;fs; kw;nwhU ANudpaj;Jld; gpsT vjpu;tpidia Vw;gLj;Jfpd;wd.
,t;thW epA+l;uhd;fspd; cw;gj;jp kw;Wk; gpsT vjpu;tpid njhlu;fpwJ> ,jd;
tpisthf njhlu;tpid Vw;gLfpwJ.
fl;Lg;ghlhd njhlu;tpid :
,e;j njhlu;tpidapy; ntsptUk; epA+l;uhd;fspd; vz;zpf;if ‘xd;W’ vd;w mstpy;
guhkupf;fg;gLfpwJ.
Mifahy; ,t;tpidahdJ fl;Lg;ghlhd tpidahf njhlu;fpwJ.
,jpy; ntspNaw;wg;gLk; Mw;wy; Mf;fG+u;tkhd Kiwapy; gad;gLj;jg;gLfpd;wd.
v.fh : mZf;fU ciy
fl;Lg;ghlw;w njhlu;tpid :
vz;zw;w epA+l;uhd;fs; ngUf;fKk;> mjd; fhuzkhfg; gpsTk; mjpfkhd gpsTg;
nghUs;fSk; cUthfpd;wd.
,t;thW> xU tpdhbf;Fs; mjpfkhd Mw;wy; ntspNaWfpd;wJ.
v.fh : mZ Fz;L ntbj;jy; epfo;j;jg;gLfpwJ.
2. My;gh> gPl;lh kw;Wk; fhkhf; fjpu;fspd; gz;Gfis xg;gpLf. [SEP – 2020, PTA – 3]
gz;Gfs; My;gh (𝛂) fjpu;fs; gPl;lh (𝛃) fjpu;fs; fhkh (𝛄) fjpu;fs; [PTA–3]
madpahf;Fk;
kpf mjpfk;. α-it tpl FiwT. kpfTk; FiwT.
jpwd;
CLUTk;
FiwT. α-it tpl mjpfk;. kpf mjpfk;.
jpwd;
xspapd; jpirNtfj;jpy;
xspapd; jpirNtfj;jpy; xspapd; jpirNtfj;jpy;
jpirNtfk; 1/10 Kjy; 1/20 klq;F
9/10 klq;F nry;Yk;. nry;Yk;.
tiuapy; nry;Yk;.
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3. mZf;fU ciy vd;why; vd;d? mjd; ,d;wpaikahj ghfq;fspd; nray;ghLfis tptupf;f.
mZf;fU ciy
mZf;fU ciy vd;gJ KOtJk; jw;rhu;Gila fl;Lg;gLj;jg;gl;l mZf;fU gpsT
tpid eilngw;W kpd; cw;gj;jp nra;Ak; ,lkhFk;.
,d;wpaikahj gFjpf;$Wfs; (m) Kjd;ikahd ghfq;fs;>
vupnghUs; gpsTf;Fl;gLk; nghUNs vupnghUshFk;. v.fh : ANudpak;.
jzpg;ghd; cau; Mw;wy; nfhz;l epA+l;uhd;fisf; Fiwg;gjw;Fj; jzpg;ghd;
gad;gLfpwJ. v.fh : fpuh/igl; my;yJ fdePu;
fl;Lg;gLj;Jk; njhlu;tpidia epiy epWj;jp epA+l;uhd;fspd; vz;zpf;ifiaf;
fop fl;Lg;gLj;Jtjw;fhfg; gad;gLtJ. v.fh : Nghuhd; kw;Wk; fhl;kpak;
mZf;fU ciyapDs; cUthFk; ntg;gj;ij ePf;Ftjw;fhf
Fspu;tpg;ghd; gad;gLfpwJ. v.fh : ePu;> fhw;W kw;Wk; `Pypak;.
ePuhtpiaf; nfhz;L tpirahopia ,af;fp kpd; cw;gj;jp nra;ag; gad;gLfpwJ.
mZf;fU ciyia Rw;wp xU jbkdhd fhuPaj;jyhd Rtu; fl;lg;gLfpwJ.
jLg;Gr;Rtu;
,J mghafukhd fjpu;tPr;R Rw;Wg;Gwr; R+oypy; guthky; jLj;J ghJfhf;fpwJ.
$Ljy; tpdhf;fs;
4. gy;NtW Jiwfspy; fjpupaf;fj;jpd; gad;fis tpsf;Ff. [MAY - 2022]
Ntshz;ik: fjpupaf;fg; gh];gu]; INrhNlhg; (P -32):
,it gapu; cw;gj;jpia mjpfupf;fg; gad;gLfpwJ.
,e;j fjpu;tPr;Rfs; G+r;rpfs; kw;Wk; xl;Lz;zpfis mopf;f gad;gLfpwJ.
Ntshz; cw;gj;jpg; nghUs;fs; tPzhtijj; jLf;fpd;wd.
rpwpjsT fjpu;tPr;rpd; %yk; ntq;fhak;> cUisf;fpoq;F> gUg;G Nghd;wit
mOfhky; ghJfhf;fyhk;.
kUj;Jtk;: fjpupaf;f INrhNlhg;Gfs; gy;NtW Neha;fis fz;lwpjy; kw;Wk;;
rpfpr;irf;F gad;gLj;jg;gLfpwJ. [PTA – 2]
fjpupaf;fr; Nrhbak;-24 (Na ) : ,jaj;ij rPuhfr; nray;gl itf;f cjTfpwJ.
24
7. mZf;fSk; %yf;$WfSk;
1. 0.18fp ePH Jspapy; cs;s ePH %yf;$Wfspd; vz;zpf;ifia fzf;fpL.
H2O –d; %yf;$W epiw = (1 × 2) + 16 = 18 fp
ePupd; epiw
%yf;$Wfspd; vz;zpf;if = × mtfhl;Nuh vz;
%yf;$W epiw
0.18
= × 6.023 × 1023 = 6.023 × 1021
18
∴ ePu; %yf;$Wfspd; vz;zpf;if = 6.023× 1021
2. N2 + 3H2 → 2NH3 (N=14, H=1)
1 Nkhy; iel;u[d; = ____fp + 3Nkhy; i`l;u[d; = ___fp→ 2Nkhy; mk;Nkhdpah = ___fp
epiw = Nkhy;fspd; vz;zpf;if ×%yf;$W epiw
N2 –d; epiw = 1 × (14 × 2) = 28
H2 –d; epiw = 3 × (1 × 2) = 6
NH3 –d; epiw = 2 × (14 + (3 × 1)) = 34
1 Nkhy; iel;u[d; = 28 fp + 3Nkhy;> i`l;u[d;= 6 fp →2Nkhy; mk;Nkhdpah = 34 fp
3. Nkhy;fspd; vz;zpf;ifiaf; fz;lwpf. m) 27fp mYkpdpak; M) 1.51×1023 %yf;$W NH4Cl.
m) 27fp mYkpdpak; [PTA – 5] M) 1.51×1023 %yf;$W NH Cl. [PTA – 5]
4
%yf;$wpd; epiw %yf;$Wfspd; vz;zpf;if
Nkhy;fspd; vz;zpf;if= %yf;$wpd; mZepiw Nkhy;fspd; vz;zpf;if=
mtfhl;Nuh vz;
27 1.51×1023
= = 1 Nkhy; = = 0.25 Nkhy;
27 6.023×1023
A →jhkpuk; (Cu)
B →fhg;gu; fhu;gNdl; (CuCO3 . Cu(OH)2)
C →fhg;gu; ry;Ngl; (CuSO4)
D →ry;gu-;il-Mf;irL (SO2) thA
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3. CJ ciyapy; cUf;fpg;gpupj;jiy tpsf;Ff.
CJ ciyapy; cUf;fpg;gpupj;jy;:
,J tWf;fg;gl;l cNyhf Mf;iril cUfpa cNyhfkhf
Fiwf;Fk; nray;KiwahFk;.
CJ ciyapy; ,Uk;ig cUf;fpg;gpupj;jy;:
tWf;fg;gl;l jhJ> fy;fup> Rz;zhk;Gf;fy; ,tw;iw 8:4:1
vd;w tpfpjj;jpy; vLj;Jf; nfhs;sg;gLfpwJ. ciyapy; 3
Kf;fpa gFjpfs; cs;sd.
(m) fPo;g;gFjp (vupepiy kz;lyk;)
ntg;gepiy 1500°C MFk;.
ntg;gf;fhw;Wld; jhJf;fyit NrUk;NghJ> O2 -Dld; vupe;J CO2thf khWfpwJ.
𝟏𝟓𝟎𝟎℃
C + O2 → CO2 + ntg;g Mw;wy;
fhu;gd; fhu;gd; il Mf;irL
A → mYkpdpak; (Al)
B → mYkpdpak; Mf;irL (Al2O3)
C → Nrhbak; nkl;lh mYkpNdl; (NaAlO2)
9. fiury;fs;
1. Fwpg;G tiuf. m) njtpl;ba fiury; M) njtpl;lhj fiury;.
m) njtpl;ba fiury; :
xU Fwpg;gpl;l ntg;gepiyapy; NkYk; fiunghUis fiuf;f ,ayhj fiury;>
njtpl;ba fiuryhFk;.
v.fh : 25℃-y; 100 fp ePupy; 36 fp Nrhbak; FNshiuL nfhz;l fiury;.
M) njtpl;lhj fiury; :
xU Fwpg;gpl;l ntg;gepiyapy; njtpl;ba fiuriytpl Fiwthd fiunghUisf;
nfhz;l fiury;> njtpl;lhj fiuryhFk;.
v.fh : 25℃-y; 100 fp ePupy; 36 fp Nrhbak; FNshiuiltpl Fiwthff; nfhz;l fiury;.
M) fiujpwd; - tiuaW.
xU Fwpg;gpl;l ntg;gepiy kw;Wk; mOj;jj;jpy; 100 fp fiug;ghdpy; fiue;J njtpl;ba
fiuriy cUthf;f Njitahd fiunghUspd; fpuhk;fspd; vz;zpf;if mjd;
fiujpwd; vdg;gLk;.
v.fh : 25℃-y; 100 fp ePupy; 36 fp Nrhbak; FNshiuL fiue;J njtpl;ba fiuriy
cUthf;FfpwJ.
4. <uk; cwpQ;Rk; Nru;kq;fSf;Fk;> <uk; cwpQ;rpf; fiuAk; Nru;kq;fSf;Fk; ,ilNaahd
NtWghLfs; ahit? [SEP – 2021, PTA – 2]
4500
= = 𝟐𝟎%
225
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1. ‘A’ vd;gJ ePyepwg; gbf cg;G. ,jidr; R+LgLj;Jk; NghJ ePy epwj;ij ,oe;J ‘B’ Mf
khWfpwJ. B-,y; ePiur; Nru;f;fg;gLk; NghJ ‘B’ kPz;Lk; ‘A’ Mf khWfpwJ. ‘A’ kw;Wk;
‘B’apid milahsk; fhz;f. [MAY - 2022]
ePy tpl;upahy; (A) -I ntg;gg;gLj;Jk;NghJ> 5 ePu; %yf;$Wfis ,oe;J epwkw;w CuSO4
‘B’ (ePuw;w fhg;gu; ry;Ngl;;) Mf khWfpwJ. ePiu Nru;f;Fk;NghJ kPz;Lk; ePy tpl;upahy; (A)
jpUk;GfpwJ.
$Ljy; tpdh
2. Nru;kk; A vd;gJ epwkw;w> gbf tbtKila> ePNuwpa nkf;dPrpaj;jpd; cg;G MFk;. ,ij
ntg;gg;gLj;Jk; NghJ ePuw;w cg;ghf khWfpwJ. ntg;gg;gLj;Jk;NghJ Nru;kk; A ,oe;j
ePu; %yf;$Wfspd; vz;zpf;if> gr;irtpl;upahypy; cs;s ePu; %yf;$Wfspd;
vz;zpf;iff;Fr; rkkhdJ. [PTA – 2]
i) Nru;kk; A ia milahsk; fhz;f.
A → nkf;dr
P pak; ry;Ngl; n`g;lhi`l;Nul; (MgSO4. 7H2O)
epwkw;w> gbf tbtKila> ePNuwpa nkf;dPrpaj;jpd; cg;G.
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CH3–CH–CH2– CH3
|
OH
%yg;nghUs; : xspr;Nru;f;if epwkpfs;> R+upa xsp> H2O %yg;nghUs; : CO2, ATP, NADPH2
eilngWfpwJ. eilngWfpwJ.
tpidgL nghUs; xspr;Nru;f;if epwkpfs;> R+upa xsp> H2O CO2, ATP, NADPH2
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i) rpWePu;g;ig mow;rp (cystisis) (m) rpWePu;g;ig njhw;W : ghf;Bupaq;fs; rpWePu;g;igapy; jq;fp gy;fpg;
ngUfp tPf;fj;ij Vw;gLj;Jfpd;wd. ,J 20 Kjy; 50 taJilNahiug; ghjpf;fpd;wJ.
ii) rpWePufj; njhw;W : ghf;Bupahf;fs; rpWePu;g;igapypUe;J rpWePu; ehsj;jpd; topahf
nrd;W rpWePufq;fis ghjpf;fpd;wJ. NkYk;> ,J ,uj;j Xl;lj;jpy; njhw;wpid
Vw;gLj;jp> capUf;F Mgj;ij cz;lhf;Fk; gpur;rpidfSf;F toptFf;fpwJ.
iii) Neha; mwpFwpaw;w ghf;BupA+upah (Asymptomatic bacteruria) : rpWePu;g;igapy;
fhzg;gLk; ,g;ghf;Bupah ve;j Neha; mwpFwpapidAk; ntspg;gLj;Jtjpy;iy.
1. fPof
; ;fz;l gj;jpiag; gbj;J nfhLf;fg;gl;Ls;s tpdhf;fSf;F tpilasp.
uhfpdpAk; mtsJ ngw;NwhUk; njhiyf;fhl;rp epfo;r;rpiag; ghHj;Jf; nfhz;bUe;jdH.
mg;NghJ ehg;fpd;fs; gad;gLj;Jtij Cf;Ftpf;Fk; tpsk;guk; xspgug;ghfpf; nfhz;bUe;jJ.
clNd> uhfpdpapd; ngw;NwhHfs; me;j Nrdiy khw;wpdH. Mdhy; uhfpdp mjw;F jd;Dila
vjpHg;igj; njuptpj;J> me;j tpsk;guj;jpd; NjitiaAk; Kf;fpaj;Jtj;ijAk; tpsf;fpdhs;.
,) jd; ngw;Nwhupd; ,r;nraYf;F uhfpdp jdJ vjpHg;igj; njuptpj;jJ rupah? rup vdpy;
tpsf;fk; $Wf.
uhfpdpapd; vjpu;g;G rup. Vnddpy;> xU ngz;zpd; MNuhf;fpaj;jpw;F khjtplha; Rfhjhuk;
Kf;fpakhdJ. NkYk; ,J Nghd;w jiyg;Gfis tPl;by; tpthjpf;f ntl;fg;glf;$lhJ.
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18. kugpay;
1. jFe;j vLj;Jf;fhl;Lld; ,U gz;Gf; fyg;ig tpsf;Ff. (m) nkz;lypd; ,U gz;G fyg;G
Nrhjidia tptupf;fTk;. ,J xU gz;Gf; fyg;gpypUe;J vt;tifapy; NtWgLfpwJ?
,Ugz;G fyg;G : ,J ,uz;L N[hb vjpupilg; gz;Gfisg; nfhz;l jhtu ,df;fyg;G.
Ma;Tfs; : cUz;il tbtk; kw;Wk; kQ;rs; epw tpijAila jhtuj;ij RUq;fpa tbtk;
kw;Wk; gr;ir epw tpijAila jhtuj;Jld; fyg;gpdk; nra;ag;gLfpwJ.
fz;lwpe;jit :
F1 re;jjpapy;: J}a tpij jhtuq;fis fyg;G nra;jdu;.
KbT: midj;Jk;; cUz;il> kQ;rs; epw tpij jhtuq;fs;.
Xq;F gz;G - cUz;il tbtk; & kQ;rs; epwk;
xLq;F gz;G - RUq;fpa tbtk; & gr;ir epwk;
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2. b.vd;.V mikg;G vt;thW cUthfpAs;sJ? b.vd;.V-tpd; capupay; Kf;fpaj;Jtk; ahJ?
vi) xt;nthU Rw;Wk; 34A° mstpyhdJ. xU KO Rw;wpy; gj;J fhu ,izfs; cs;sd.
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5. v.fh: kdpjdpd; if> G+idapd; Kd;dq;fhy;. 5. v.fh :gwit kw;Wk; G+r;rpapd; ,wf;if
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3. gbtkhjy; jhtuq;fspy; vt;thW eilngWfpwJ? [PTA – 1]
ghiwfspy; Gij capu;g; gbtq;fs; cUthtijg; gbtkhjy; vd;fpNwhk;.
gbtkhjy; Kiwfs; :
i) fy;yhjy; :
rpypf;fh Nghd;w fdpkq;fs;> ,we;j capupapd; cs;Ns CLUtp jpRf;fis mopj;J
ghiw Nghd;w Gijg; gbtj;ij cUthf;FfpwJ.
fbd kw;Wk; nkd;ikahd ghfq;fs; gbtk; Mfpd;wd.
v.fh: vYk;G> kuf;fl;il gbtq;fs;
ii) mr;R kw;Wk; thu;g;G :
jhtuk; my;yJ tpyq;F ghiwfSf;F ,ilNa mNj mikg;G khwhky;
gjg;gLj;jg;gLfpwJ.
gbTfSf;F ,ilNa capupfs; Gije;J> epyj;jb ePupdhy; cly; rpije;J Xu;
ntw;wplk; cUthfpwJ. jhtuk; my;yJ tpyq;F Nghd;w Xu; mr;R Vw;gLfpwJ.
gpd;G fdpkq;fs; my;yJ gbtq;fs; mt;ntw;wplj;ij epug;Gk;. ,J thu;g;G vdg;gLk;.
,jdhy;> me;j capupapd; cs;sikg;ig mwpa ,ayhJ.
iii) gjg;gLj;Jjy; :
KOj; jhtuk; my;yJ tpyq;F ,k;Kiwapy; gjg;gLj;jg;gLfpwJ.
gdpf;fl;b my;yJ kuq;fspd; jz;by; frpAk; gprpd; Nghd;wtw;wpy; gjpAk; capupfs;
mOfpg; Nghfhky; ghJfhf;fg;gLfpd;wd.
iv) mOj;jpa rpd;dq;fs; :
flYf;F mbapy; cs;s ,we;j capupdq;fspd; fbd cWg;Gfs;> gbTfshy;
%lg;gLfpwJ.
gbT cUthjy; njhlu;r;rpahf eilngw;W> Gij capu;g; gbtkhf khWfpwJ.
v) CLUTjy; my;yJ gjpyPl;Ljy; :
rpy Ntisfspy; fdpkg; gbtk; nry; Rtiuj; jhz;br; nry;fpwJ.
,e;j CLUty; rpypfh> fhy;rpak; fhu;gNdl;> nkf;dPrpak; fhu;gNdl; Nghd;w
fdpkq;fshy; epug;gg;gLfpwJ.
fbdg; gFjpfs; fiuf;fg;gl;L mg;gFjp fdpkq;fshy; epug;gg;gLfpwJ.
$Ljy; tpdh
4. capupdq;fspd; Njhw;wk; gw;wpa Nfhl;ghLfisg; gl;baypLf. [MAY-2022]
rpwg;Gj; Njhw;wf; Nfhl;ghL :
G+kpapy; tho;tJ nja;tPfkhdJ. fle;j fhyj;jpy; ,aw;iff;F mg;ghw;gl;L Njhd;wp ,Uf;fyhk;.
Njhd;wpajpypUe;J ,Jtiu mtw;wpy; ve;j khw;wKk; Vw;gltpy;iy.
Ra gilg;Gf; Nfhl;ghL (capupypg; gpwg;G) :
capuw;w nghUl;fspypUe;J jd;dpr;irahf capu; Njhd;wpaJ. v.fh : kPdf ; s; - NrW.
capu;g; gpwg;Gf; Nfhl;ghL :
Yap]; gh];lupd; Cfg;gb Kd;gpUe;j capupapy; ,Ue;Jjhd; capu; Njhd;wpaJ.
Ntw;Wf; fpuf (m) fh];kpf; Njhw;wk; :
tpz;ntspapy; ,Ue;J capu; Njhd;wpaJ.
capupd; myfhd ];Nghu;fs;(ghd;];ngu;kpah) gy;NtW Nfhs;fSf;F ,lkhw;wk; nra;ag;gl;lJ.
capu;fspd; Ntjpg; gupzhkk; :
Xghupd; & `hy;Nld;; Ntjp tpidfs; %ykhf capu; Njhd;wpaJ vd;wdu;.
capuw;w fdpk %yf;$Wfs; → fupk %yf;$Wfs; → $o;kj; njhFjpfs; → capu;
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fzf;fPLfs;
1. ,af;f tpjpfs;
RUf;fkhf tpilasp
1. 5 N kw;Wk; 15 N tpir kjpg;Gila ,U tpirfs; vjpnujpu; jpirapy; xNu Neuj;jpy;
nghUs; kPJ nray;gLfpd;wd. ,itfspd; njhFgad; tpir kjpg;G ahJ? vj;jpirapy;
mJ nray;gLk;?
nfhLf;fg;gl;lit> F1 = 5N F2 = 15 N
,U tpirfs; vjpnujpu; jpirapy; nray;gLfpd;wd.
vdNt> njhFgad; tpir> FnjhF = F2 − F1
FnjhF = 15 − 5 = 10 N.
njhFgad; tpir kjpg;G 10 N kw;Wk;; 15 N kjpg;Gila jpirapy; nray;gLk;.
fzf;fLP fs;
1. ,U nghUl;fspd; epiw tpfpjk; 3:4 mjpf epiwAila nghUs; kPJ tpirnahd;W
nray;gl;L 12 m s-2 kjpg;gpy; mij KLf;Ftpj;jhy;> mNj tpir nfhz;L kw;w nghUis
KLf;Ftpf;f Njitg;gLk; KLf;fk; ahJ?
juTfs; : m1 : m2 = 3:4 ; F1 = F2
m2 vd;gJ mjpf epiwAila nghUs;, a2 = 12 ms-2
jPu;T : F1 = F2
m1 a1 = m2 a2 (∵ F = ma)
𝑚1 4
𝑎1 = × 𝑎2 ⇒ 1 = × 12 = 16 ms −2
𝑚2 3
∴ kw;w nghUis KLf;Ftpf;f Njitg;gLk; KLf;fk; , 𝒂𝟏 = 𝟏𝟔 𝒎𝒔−𝟐
2. 1 fpfp epiwAila ge;J xd;W 10 kPtp-1 jpirNtfj;jpy; jiuapd; kPJ tpOfpwJ.
NkhjYf;F gpd; Mw;wy; khw;wkpd;wp> mNj Ntfj;jpy; kPz;Lk; caur; nry;fpwJ vdpy;
mg;ge;jpy; Vw;gLk; ce;j khw;wj;jpid fzf;fpLf.
juTfs; : ge;jpd; epiw (m) = 1 fpfp> Muk;g Ntfk; (𝑢) = 10 kPtp-1
NkhjYf;F gpd; Mw;wy; khw;wk; ,y;yhjjhy; mNj Ntfj;jpy; vjpu;jpirapy; caur; nry;fpwJ.
,Wjp Ntfk; (𝑣) = −10 kPtp-1
jPu;T : ∆p = mv − mu
= 1 × (−10) − 1 × (10) = −10 − 10 = −20 fpfp kPtp-1
(vjpu;f;Fwp ce;jj;jpd; jpiriaf; Fwpf;fpwJ).
∴ ge;jpd; ce;j khWghL 20 fpfp kPtp -1 MFk;.
3. ,ae;jpu gzpahsH xUtH 40 cm ifg;gpb ePsk; cila jpUFf;FwL nfhz;L 140 N
tpir %yk; jpUF kiw xd;iw fow;WfpwhH> 40 N tpir nfhz;L mNj jpUF kiwapid
fow;w vt;tsT ePs ifg;gpb nfhz;l jpUFf;FwL Njit?
juTfs; : tpir F1 = 140 N, ifg;gpb ePsk; d1 = 40 cm
tpir F2 = 40 N, ifg;gpb ePsk; d2 = ?
jPu;T : ,ul;il kw;Wk; jpUfpd; jpUg;Gj;jpwd; rkk;. vdNt, F1 d1 = F2 d2
F1 d1 40 ×140
d2 = = = 140 cm / 1.4 m.
F2 40
∴ 𝟒𝟎𝑵 tpir nfhz;L jpUF kiwapid fow;w 𝟏𝟒𝟎 𝒄𝒎 ePs ifg;gpb jpUFf;FwL Njit.
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4. ,U Nfhs;fspd; epiw tpfpjk; KiwNa 2 : 5> mitfspd; Mu tpfpjk; KiwNa 4 : 7
vdpy;> mtw;wpd; <Hg;G KLf;fk; tpfpjj;ij fzf;fpLf.
juTfs; : ,U Nfhs;fspd; epiwfspd; tpfpjk; 𝑚1 : 𝑚2 = 2: 5
,U Nfhs;fspd; Muq;fspd; tpfpjk;; 𝑅1 : 𝑅2 = 4: 7
,U Nfhs;fspd; <Hg;G KLf;f tpfpjk;, 𝑔1 : 𝑔2 = ?
GM GM
jPu;T : g1 = 21 ------ (1) g2 = 22 ------ (2)
R1 R2
𝐺𝑀1
g1 𝑅2
rkd;ghL (1) ÷ (2) ⇒ = 1
𝐺𝑀2
g2
𝑅2
2
g1 GM1 R2
2 M1 R2
2
= × = ×
g2 R2
1 GM2 M2 R2
1
g1 2 72 2 49 49
= × ⇒ × =
g2 5 42 5 16 40
Gtp<Hg;G KLf;f tpfpjk; 𝒈𝟏 : 𝒈𝟐 = 49 : 40.
khjpufp ; fzf;Ffs;
5. 5 fpfp epiwAs;s nghUnshd;wpd; 6. fPy; (keel) Kidapy; ,Ue;J 90 nr.kP
Neu;f;Nfhl;L ce;jk; 2.5 fpfp kPtp-1 vdpy; Jhuj;jpy; ifg;gpb nfhz;l fjnthd;W
mjd; jpirNtfj;ij fzf;fpLf. [TB – 12] 40 N tpir nfhz;L jpwf;fg;gLfpwJ.
juTfs; : epiw (m)= 5 fpfp> fjtpd; fPy; Kidg;gFjpapy; Vw;gLk;
Neu;f;Nfhl;L ce;jk;(p) = 2.5 fpfpkPtp-1 jpUg;Gj;jpwd; kjpg;gpid fzf;fpL.
jPu;T : [TB – 12]
Neu;f;Nfhl;L ce;jk;(p) = epiw(m)×jpirNtfk;(v) juTfs; : F = 40 N
Neu;f;Nfhl;L ce;jk; d = 90 nr.kP = 0.9 kP
jpirNtfk; =
epiw
jPu;T : tpirapd; jpUg;Gj;jpwd; (M)
2.5
= = 0.5 kPtp-1 M = F×d
5
∴ jpirNtf kjpg;G 0.5 kPtp-1 = 40 × 0.9
= 36 epa+l;ld; kPl;lu;.
7. Gtpapd; Nkw;gug;gpd; ikaj;jpy; ,Ue;J ve;j cauj;jpy; Gtpapd; <h;g;G KLf;fkhdJ>
GtpNkw;gug;G <h;g;G KLf;fj;jpd; ¼ klq;fhf mikAk;? [TB – 12] [PTA – 6]
juTfs; : Gtpikaj;jpy; ,Ue;J cauk;, R′ = R + h
g
mt;Tauj;jpy; Gtp<h;g;G KLf;fk;, g′ =
4
2
𝐺𝑀 𝐺𝑀 g R′
jPu;T : g= , g' = 2 ⇒ =( )
𝑅2 𝑅′ g′ R
𝑔 R+h 2 h 2
𝑔 =( ) = (1 + R)
⁄4 R
h 2
4 = (1 + ) (,UGwKk; tu;f;f%yk; vLf;fTk;)
R
h
2=1+ ⇒h=R
R
R′ = R + R = 2R
∴ Gtpapd; ikaj;jpy; ,Ue;J> Gtp Muj;ij Nghy; ,Uklq;F njhiytpy;> <Hg;G KLf;f
kjpg;G Gtpg;gug;gpd; KLf;fj;ijg;Nghy; ¼ klq;fhf mikAk;.
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fzf;fL
P fs; 3
$Ljy; fzf;Ffs;
8. kpd; J}f;fp xd;W 1.8 kPtp KLf;fj;Jld; 9. 5
-2 fpfp epiwAs;s nghUnshd;wpd;
fPNo efu;fpwJ vdpy; 50 fpfp epiw Neu;f;Nfhl;L ce;jk; 2 fpfp kPtp-1 vdpy; mjd;
nfhz;l kdpjh; vt;tsT Njhw;w jpirNtfj;ij fzf;fpLf. [MDL – 19]
vilapid czHthH? [PTA – 1] juTfs; :
juTfs; : KLf;fk; (a) = 1.8 kPtp , -2 epiw (m)= 5 fpfp
epiw m = 50 fpfp Neu;f;Nfhl;L ce;jk;(p) = 2 fpfp kPtp-1.
jPu;T : kpd; J}f;fp 'a' vd;w KLf;fj;Jld; jPu;T :
fPNo efUfpwJ vdpy;> Neu; f; Nfhl; L ce;jk;(p) = epiw(m)×jpirNtfk;(v)
Neu;f;Nfhl;L ce;jk;
Njhw;w vil, R = m(g−a) jpirNtfk; =
epiw
R = 50 (9.8 – 1.8) 𝑝 2
V = = = 0.4 kPtp-1
= 50 × 8 𝑚 5
∴ Njhw;w vil 400 N ∴ jpirNtf kjpg;G 0.4 kPtp-1.
10. G+kpapy; 686 N vilAs;s kdpjH 11. xU nghUspd; kPJ 5 N tpir nray;gl;L>
epyTf;Fr; nrd;why; mq;F mtuJ vil mg;nghUis 5 nrkP tp-2 vd;w mstpw;F
kjpg;gpidf; fhzf;fpLf. (epytpd; ‘g’ KLf;Ftpf;fpwJ vdpy; mg;nghUspd;
kjpg;G 𝟏. 𝟔𝟐𝟓 kPtp )
-2
[PTA – 2] epiwapidf; fzf;fpLf. [PTA – 5]
juTfs;: We = mge = 686 N; gm = 1.625 kPtp -2 juTfs; : F = 5 N,
𝑤 686 a = 5 nrkPtp-2 = 0.05 kPtp-2
jPu;T : m = 𝑒 = = 70 fpfp
𝑔𝑒 9.8 jPu;T : F = ma
Wm = mgm = 70 × 1.625 𝐹 5
Wm = 113.75 N m = =
𝑎 0.05
epiw> 𝐦 = 100 fpfp
cah; rpe;jidf;fhd tpdhf;fs;
1. 8 fpfp kw;Wk; 2 fpfp epiwAila ,U 2. fd ce;J (heavy vehicle) xd;Wk; ,U rf;fu
nghUs;fs; totog;ghf cs;s gug;gpy; thfdk; xd;Wk; rk ,af;f Mw;wYld;
xd;Nwhnlhd;W njhlHG nfhz;Ls;sd. mit gazpf;fpd;wd. fd ce;jpd; epiwahdJ ,U
rf;fu thfd epiwapid tpl ehd;F klq;F
15 N mstpyhd fpilkl;l tpir nfhz;L mjpfk; vdpy;> ,itfSf;fpilNa cs;s
efHj;jg;gLfpd;wd vdpy; 2 fpfp epiwAila ce;j tPjj;ij fzf;fpLf.
nghUs; ngUk; tpirapid fzf;fpLf. juTfs;: ,Urf;fu thfdj;jpd; epiw = 𝑚𝐵
juTfs; : ngupa ruf;Fe;Jtpd; thfdj;jpd; epiw = 𝑚 𝑇 ;
𝑚𝑇
=4
𝑚 𝐵
1
jPu;T : ,af;f Mw;wy;= 2 𝑚𝑣 2
m1 = 8 fpfp, m2 = 2 fpfp tpir, F = 15 N
jPu;T: ngupa ,U rf;fu
ruf;Fe;Jtpd; = thfdj;jpd;
epA+l;ldpd; ,uz;lhk; tpjpg;gb, F = ma ,af;f Mw;wy;; ,af;f Mw;wy;
F = (𝑚1 + 𝑚2 ) 𝑎 1 1
mT vT 2 = 2 mB vB2
𝐹 2
a= V 2 𝑚 V
𝑚1 +𝑚2
(VB ) = 𝑚𝑇 = 4 ⟹ VB = 2
15 15 T 𝐵 T
= = = 1.5 kPtp-1 VT 1
8+2 10 =
VB 2
2 fpfp epiwAila nghUs; ngUk; tpir, pT 𝑚𝑇 𝑉𝑇 4
ce;j tpfpjk;, p = 𝑚 =2=2
m = 2 fpfp, 𝑎 = 1.5 kPtp-1 B 𝐵 𝑉𝐵
F = ma = 2 × 1.5 = 3 N ∴ ngupa ruf;Fe;JTf;Fk; ,Urf;fu
∴ 2 fpfp epiwAila nghUs; thfdj;jpw;Fk; ,ilNaahd ce;jtpfpjk; 𝟐: 𝟏.
ngupa ruf;Fe;Jtpd; ce;jk; ,Urf;fu thfdj;jpd;
ngUk; tpir> F = 3 N ce;jj;ij Nghy ,uz;L klq;F MFk;.
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2. xspapay;
fzf;fL
P fs;
1. 10 nr.kP Ftpaj;njhiyT nfhz;l Ftpnyd;rpypUe;J
20 nr.kP njhiytpy; nghUnshd;W itf;fg;gLfpwJ
vdpy; gpk;gk; Njhd;Wk; ,lj;ijAk;> mjd;
jd;ikiaAk; fz;lwpf.
FwpaPl;L kuG tpjpfs;
juTfs; : Ftpnyd;rpd; Ftpa J}uk; f = 10 nr.kP f → Ftpnyd;Rf;F Neu;Fwp
nghUs; kw;Wk; nyd;Rf;F ,ilNaahd J}uk; Fopnyd;Rf;F
vjpu;;Fwp
u = − 20 nr.kP
u → vg;NghJk; vjpu;;Fwp
gpk;gk; kw;Wk; nyd;Rf;F ,ilNaahd J}uk; v=? (nghUs; vg;NghJk; nyd;Rf;F
1 1 1 ,lg;gf;fk; itf;fg;gLtjdhy;.)
jPu;T : nyd;]; rkd;ghL, = −
𝑓 𝑣 𝑢
v → tyJGw gpk;gk; - Neu;Fwp
1 1 1 1 1 2−1 1 ,lJGw gpk;gk; - vjpu;;Fwp;
⇒ = + = + = =
𝑣 𝑓 𝑢 10 − 20 20 20
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fzf;fL
P fs; 5
khjpupf; fzf;Ffs;
3. xU xspf;fjpuhdJ> ntw;wplj;jpypUe;J 4. xU nghUspypUe;J nry;Yk; xspf;
xsptpyfy; vz; 1.5 cila Clfj;jpw;Fs; fw;iwahdJ 0.3 kP Ftpaj;njhiyT
nry;Yk; NghJ gLNfhzj;jpd; kjpg;G 30° nfhz;l tpupf;Fk; nyd;rhy; Ftpf;fg;gl;L
vdpy; tpyF Nfhzk; vd;d? [TB – 28] 0.2 kP vd;w njhiytpy; gpk;gj;ij
juTfs; : 𝜇1 = 1 𝜇2 = 1.5 𝑖 = 30 0 Vw;gLj;JfpwJ vdpy; nghUspd; njhiyitf;
jPu;T : ];ney; tpjpg;gb, fzf;fpLf. [TB – 28] [SEP - 2020]
sin 𝑖 𝜇 juTfs; : nfhLf; fg; gl;lit Fopnyd;R
= 2 f = −0.3 kP, v = −0.2 kP
sin 𝑟 𝜇1
𝜇1 jPu;T : nyd;R rkd;ghl;bypUe;J
× sin 𝑖 = sin 𝑟
𝜇2 1 1 1
1 0
= −
sin 𝑟 = × sin 30 𝑓 𝑣 𝑢
1.5 1 1 1 1 1 10
1 1 1 = − = − = −
= × = 𝑢 𝑣 𝑓 − 0.2 − 0.3 6
1.5 2 3 6
sin r = 0.333 𝑢 = − = −0.6 kP
10
−1(
𝑟 = sin 0.333) = 𝟏𝟗. 𝟒𝟓 𝟎 ∴ 2F-y; nghUs; 𝟎. 𝟔 kP njhiytpy;
itf;fg;gLfpwJ.
5. fpl;lghHitf; FiwghL cila xU 6. J}ug;ghHitf; Fiwghl;lhy;
kdpjuhy;> 4 kP njhiytpy; cs;sg; ghjpf;fg;gl;l kdpjH xUthpd; mz;ikg;
nghUs;fis kl;LNk fhz ,aYk;. mtH Gs;spahdJ 1.5 kP njhiytpy; cs;sJ.
20 kP njhiytpy; cs;sg; nghUis mtH mtUila ghu;itf; Fiwghl;il
fhz tpUk;gpdhy; gad;gLj;jg;glNtz;ba rhpnra;a gad;gLj;jg;gl Ntz;ba
Fop nyd;rpd; Ftpaj; njhiyT vd;d? Ftpnyd;rpd; Ftpaj; njhiyitf;
[AUG – 2022, MAY - 2022] [TB – 28] fzf;fpLf. [TB – 28]
juTfs; : 𝑥 = 4 kP kw;Wk; 𝑦 = 20 kP juTfs; : d = 1.5 kP>
jPu;T : ghu;itf; Fiwghl;ilr; rupnra;a D = 25 nr.kP = 0.25 kP
gad;gLj;jg;gl Ntz;ba nyd;rpd; Ftpaj;
𝑥𝑦 4 ×20 80 jPu;T :
njhiyT> 𝑓 = = = = −5 kP ghu;itf; Fiwghl;ilr; rupnra;a
𝑥−𝑦 4−20 −16
ghu;itf; Fiwghl;ilr; rupnra;a gad;gLj;jg;gl Ntz;ba nyd;rpd;
gad;gLj;jg;gl Ntz;ba nyd;rpd; jpwd; Ftpaj;njhiyT>
1 1
P = = = −𝟎. 𝟐 𝐃 f=
d×D
=
1.5 ×0.25
𝑓 −5
d−D 1.5−0.25
∴ fpl;lg;ghu;it FiwghL cila xU 0.375
kdpjdhy; gad;gLj;jf;$ba nyd;rpd; = = 0.3 kP
1.25
Ftpaj;njhiyT 5 kP & nyd;rpd; jpwd; 0.2 D. 𝐟 = 𝟎. 𝟑 kP
$Ljy; fzf;Ffs;
7. xU nyd;rpd; jpwd; −𝟐 ilahg;lu; 8. 3 nrkP cauKs;s nghUnshd;W 10 nrkP
vdpy;> nyd;rpd; FtpaJ}uj;ijf; J}uj;jpy; Ftpnyd;rpd; Kd; itf;fg;gLfpwJ.
fhz;f. [PTA – 4] nyd;rpd; ikaj;jpypUe;J 20nrkP njhiytpy;
juTfs; : gpk;gk; cUthfpwJ vdpy; gpk;gj;jpd;
nyd;rpd; jpwd; (P) = −2D cUg;ngUf;fk; kw;Wk; cauj;ijf; fzf;fpLf.
jPu;T : nyd;rpd; jpwd; (P) =
1 juTfs; : [PTA – 5]
𝑓 h = 3 nrkP ; u = 10 nrkP ; v = 20 nrkP
= −2D 𝑣 20
1 jPu;T : cUg;ngUf;fk;> m = = = 2
𝑢 10
f = = ℎ′
−2 ′
− 0.5 kP cUg;ngUf;fk;> m = ⇒ ℎ = 2×3=6 nrkP
ℎ
∴ nyd;rpd; FtpaJ}uk; 0.5 kP MFk;. gpk;gj;jpd; cUg;ngUf;fk; 2 kw;Wk; cauk; 6 nr.kP
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6 ntw;wpf;F top - 10Mk; tFg;G mwptpay;
3. ntg;g ,aw;gpay;
fzf;fL P fs;
1. fhg;gH jz;bid ntg;gg;gLj;Jk; NghJ mjd; FWf;Fntl;L gug;G 10 kP2 ypUe;J 11 kP2 Mf
caUfpwJ. fhg;gH jz;bd; njhlf;f ntg;gepiy 90 K vdpy; mjDila ,Wjp
ntg;gepiyia fzf;fpLf. (fhg;ghpd; gug;G ntg;g tphpT Fzfj;jpd; kjpg;G 0.0021 K-1)
juTfs; : Aₒ = 10 kP2 , A = 11kP2 , ∆A = 11 − 10 = 1 kP2
To = 90 K, T=? ∆T = T − To = T − 90 αA = 0.0021 K-1
∆A
jPu;T : gug;G ntg;g tphpT Fzfk;> = αA ∆T
A ₒ
∆A 1
∆T = =
Aₒ αA 10 × 0.0021
1
T − 90 = = 47.61
0.021
T = 47.61 + 90 = 137.6 K
∴ fhg;gu; jz;bd; ,Wjp ntg;gepiy 137.6 K
2. Jj;jehf jfl;bd; ntg;gepiyia 50 K mjpfhpf;Fk; NghJ> mjDila gUkd; 0.25 kP3 ypUe;J
0.3 kP3 Mf caUfpwJ vdpy;> me;j Jj;jehf jfl;bd; gUk ntg;g tphpT Fzfj;ij fzf;fpLf.
juTfs; : V = 0.3 kP3 Vₒ = 0.25 kP3 ∆T = 50K
∆V V−Vₒ
jPu;T : αv = =
Vₒ∆T Vₒ∆T
0.3 − 0.25 0.05
αv = ⇒ αv = 0.004 K−1
=
0.25 × 50 12.5
∴ Jj;jehf jfl;bd; gUk ntg;gtphpT Fzfk; 𝟎. 𝟎𝟎𝟒 𝑲−𝟏.
khjpufp ; fzf;Ffs;
3. 70 kpyp nfhs;ssT cs;s nfhs;fydpy; 50 kpyp jputk; epug;gg;gl;Ls;sJ. jputk; mlq;fpa
nfhs;fyid ntg;gg;gLj;Jk; NghJ jputj;jpy; epiy nfhs;fydpy; 50 kpyp-ypUe;J 48.5 kpyp
Mf FiwfpwJ. NkYk; ntg;gg;gLj;Jk; NghJ nfhs;fydpy; jputj;jpd; epiy 51.2 kpyp Mf
caUfpwJ vdpy; jputj;jpd; cz;ik ntg;g tpupT kw;Wk; Njhw;w ntg;g tpupitf; fzf;fpLf.
juTfs; : jputj;jpd; Muk;g epiy> L1 = 50 kpyp [TB – 39] [PTA – 6]
nfhs;fydpd; tpupthy; jputj;jpd; epiy L2 = 48.5 kpyp
jputj;jpd; ,Wjp epiy> L3 = 51.2 kpyp
jPu;T : Njhw;w ntg;g tpupT> L3 − L1 = 51.2 kpyp − 50 kpyp = 1.2 kpyp
cz;ik ntg;g tphpT> L3 − L2 = 51.2 kpyp − 48.5 kpyp = 2.7 kpyp
∴ cz;ik ntg;gtpupT 𝟐. 𝟕 kpyp kw;Wk; Njhw;w ntg;gtpupT 𝟏. 𝟐 kpyp
4. khwhj ntg;gepiyapy; cs;s thAtpd; mOj;jj;ij ehd;F klq;F mjpfupf;Fk;NghJ>
mt;thAtpd; gUkd; 20 𝐜𝐜 (𝐕𝟏 𝐜𝐜)ypUe;J 𝐕𝟐 𝐜𝐜Mf khWfpwJ vdpy;> gUkd; 𝐕𝟐 𝐜𝐜itf;
fzf;fpLf. [TB – 39] [PTA – 3]
juTfs; : njhlf;f mOj;jk; (P1)= P ,Wjp mOj;jk; (P2) = 4P
njhlf;f gUkd; (V1) = 20cc = 20 nr.kP3 (∵ cc vd;gJ fd.nr.kP (my;yJ) nr.kP3)
,Wjp gUkd; (V2) = ?
jPu;T : ghapy; tpjpapd; gb> PV = khwpyp
P1V1 = P2V2
P1 P
V2 = × V1 = × 20 nr.kP3 ⇒ V2 = 5 nr.kP3 (i.e.) 5 cc
P2 4P
∴ ,Wjp gUkd; V2 , 5 nr.kP3 (my;yJ) 5 cc.
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fzf;fL
P fs; 7
$Ljy; fzf;Ffs;
5. 303 K ntg;gepiyapy; xU mYkpdpa jz;bd; ePsk; 50 kP vdpy; mjid 323 K
ntg;gepiyf;F ntg;gg;gLj;Jk; NghJ mjd; ePsj;jpy; Vw;gLk; khw;wj;jpidf; fzf;fpLf.
(mYkpdpaj;jpd; ePs;tphpTf; Fzfk; 𝟐𝟑 × 𝟏𝟎−𝟔 𝐊−𝟏) [PTA – 1]
juTfs; : ΔL= ePsj;jpy; Vw;gLk; khw;wk;, ∆T = 323K− 303K = 20 K
L0 (cz;ikahd ePsk;) = 50 m, αL = 23 ×10-6 K-1
∆L
jPu;T : = αL ∆T
L0
∆L = αL ∆T × L0
∆L = (23 ×10-6) × 20 × 50 = 0.023
∴ mYkpdpa jz;bd; ePsj;jpy; Vw;gLk; khw;wk; 0.023 kP.
6. 𝟖𝟎° ghud;`Pl; ntg;gepiyia nfy;tpd; ntg;gepiyf;F khw;Wf? [PTA – 6]
juTfs; : ntg;gepiy = 80°F
5
jPu;T : /ghud;`Pl;bypUe;J nfy;tpd;> K = (F + 460) ×
9
5
K = (80 + 460) × = 300 K
9
4. kpd;Ndhl;ltpay;
fzf;Ffs;
1. xU kpd;ryitg; ngl;b mjpfgl;r ntg;gj;ij ntsptpLk;NghJ 420 thl; kpd;jpwid
Efu;fpwJ. Fiwe;j gl;r ntg;gj;ij ntsptpLk; NghJ 180 thl; kpd;jpwid Efu;fpwJ.
mjw;F 220 Nthy;l; kpd;dOj;jk; nfhLf;fg;gl;lhy; ,U epiyfspYk; mjd; topNa ghAk;
kpd;Ndhl;lj;jpd; msTfis fzf;fpL.
juTfs; : nfhLf;fg;gLk; kpd;dOj;jk; V = 220 V
mjpfgl;r ntg;gj;ij ntsptpLk;NghJ, P = 420 W
jPu;T : P = VI
P 420 21
∴I= = = = 1.909 A
V 220 11
Fiwe;jgl;r ntg;gj;ij ntsptpLk; NghJ, P = 180 W
P = VI
P 180 9
∴I= = = = 0.818 A
V 220 11
2. 100 thl; kpd;jpwDs;s xU kpd;tpsf;F jpdKk; 5 kzpNeuk; gad;gLj;jg;gLfpwJ. ,J
Nghy ehd;F 60 thl; kpd; tpsf;F jpdKk; 5 kzpNeuk; gad;gLj;jg;gLfpwJ. ,jd; %yk;
[dtup khjj;jpy; Efug;gl;l kpd;dOj;j Mw;wiy fpNyh thl; kzp myfpy; fzf;fpL.
juTfs; : [dtup khj ehl;fspd; vz;zpf;if = 31 ehl;fs;
60 thl; kpd;tpsf;Ffspd; vz;zpf;if = 4
60 thl; kpd;tpsf;F gad;gl;l Neuk; = 5 kzp
100 thl; kpd;tpsf;Ffspd; vz;zpf;if = 1
100 thl; kpd;tpsf;F gad;gl;l Neuk; = 5 kzp
jPu;T : 100 thl; kpd;jpwDs;s kpd;tpsf;fpd; kpd;dOj;j Mw;wy;
= P × t ×gad;gLj;jg;gl;l ehl;fspd; vz;zpf;if × tpsf;Ffspd; vz;zpf;if
= 100 × 5 × 31 × 1 = 15500 = 15.5 fpNyh thl; kzp
ehd;F 60 thl; kpd; tpsf;fpd; kpd;dOj;j Mw;wy;
= P × t ×gad;gLj;jg;gl;l ehl;fspd; vz;zpf;if × tpsf;Ffspd; vz;zpf;if
= 60 × 5 × 31 × 4 = 37200 = 37.2 fpNyh thl; kzp
∴ [dtup khjj;jpy; Efug;gl;l nkhj;j kpd;dOj;j Mw;wy; = 15.5 + 37.2
= 52.7 fpNyh thl; kzp
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8 ntw;wpf;F top - 10Mk; tFg;G mwptpay;
3. %d;W Nthy;l; kpd;dOj;jk; kw;Wk; 600 kpy;yp Mk;gpau; kpd;Ndhl;lKk; ghAk; xU lhu;r;
tpsf;fpdhy; cUthFk; m) kpd;jpwd;. M) kpd;jil kw;Wk; ,) ehd;F kzpNeuj;jpy;
Efug;gLk; kpd;dhw;wy; Mfpaitfis fzf;fpLf.
juTfs; : V = 3 V ; I = 600 mA = 600 × 10-3 A = 0.6 A
jPu;T : m) kpd;jpwd; : P = VI = 3 × 0.6 = 1.8 thl;
V 3
M) kpd;jil : R = = =5Ω
I 0.6
,) ehd;F kzpNeuj;jpy; Efug;gLk; kpd;dhw;wy; :
E = kpd;jpwd; × Neuk; = 1.8 × 4 = 7.2 thl; kzp
4. R kpd;jilAs;s xU fk;gpahdJ Ie;J rk ePskila fk;gpfshf ntl;lg;gLfpwJ.
m) ntl;lg;gl;l fk;gpapd; kpd;jil ntl;lg;glhj mry; fk;gpapd; kpd;jilNahL
xg;gpLifapy; vt;thW khw;wkilfpwJ?
L
fk;gpahdJ Ie;J rk gFjpfshf ntl;lg;gLfpwJ ⇒ xt;nthU gFjpapd; ePsk; L′ =
5
𝜌L′ 𝜌L R
xt;nthU gFjpapd; kpd;jil, R′ = = =
𝐴 5𝐴 5
ntl;lg;glhj mry; fk;gpapd; kpd;jilia tpl> ntl;lg;gl;l xt;nthU fk;gpapd;
kpd;jil Ie;J klq;F FiwfpwJ.
M) ntl;lg;gl;l Ie;J Jz;L fk;gpfisAk; gf;f ,izg;gpy; ,izf;Fk; NghJ mjd;
njhFgad; kpd;jilia fzf;fpLf.
Ie;J gFjp fk;gpfisAk; gf;f ,izg;gpy; ,izf;Fk; NghJ
1 1 1 1 1 1 1 1 1 1 1 1
= + + + + ⇒ =R +R +R +R +R
RP R1 R2 R3 R4 R5 RP ⁄5 ⁄5 ⁄5 ⁄5 ⁄5
1 5 5 5 5 5
= + + + +
RP R R R R 𝑅
1 25 R
= ⇒ RP =
RP R 25
,) ntl;lg;gl;l Ie;J Jz;L fk;gpfisAk; njhlu;,izg;G kw;Wk; gf;f ,izg;gpy;
,izf;Fk; NghJ fpilf;Fk; njhFgad; kpd;jilfspd; tpfpjj;ij fzf;fpLf.
fk;gpapd; Ie;J gFjpfs; njhlu; ,izg;gpy; cs;sNghJ> mry; fk;gpf;F rkk;.
∴ kpd;jil RS = R
njhlu; kw;Wk; gf;f ,izg;gpy; ,izf;Fk; NghJ njhFgad; kpd;jilfspd; tpfpjk;>
R R R×25 25
Rs : Rp = S = R = = ⇒ Rs : Rp = 25 : 1
RP R 1
25
khjpufp ; fzf;Ffs;
5. 12 $Yk; kpd;D}l;lk; 5 tpehb Neuk; xU 6. 10 $Yk; kpd;D}l;lj;ij xU
kpd;tpsf;fpd; topahf gha;fpwJ vdpy; kpd;Rw;wpYs;s ,uz;L Gs;spfSf;fpilNa
mjd; topNa nry;Yk; kpd;Ndhl;lj;jpd; efu;j;j nra;ag;gLk; Ntiy 100 [{y; vdpy;
msT vd;d? [TB-44] [SEP-21, MAY-22] mg;Gs;spfSf;fpilNa cs;s kpd;dOj;j
juTfs; : kpd;D}l;lk; (Q) = 12 $Yk; NtWghL vd;d? [TB – 45]
Neuk; (t) = 5 tpehb juTfs; : kpd;D}l;lk;(Q) = 10 $Yk;
jPu;T : nra;ag;gl;l Ntiy(W) = 100 [{y;
Q 12 jPu;T :
I= = = 2.4 A
t 5 W 100
V= = = 10 V
∴ kpd;tpsf;fpd; topNa nry;Yk; Q 10
kpd;Ndhl;lk;> I = 𝟐. 𝟒 𝐀 ∴ kpd;dOj;j NtWghL V = 10 Nthy;l;
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fzf;fL
P fs; 9
7. 30 Nthy;l; kpd;dOj;j NtWghL nfhz;l 8. 10 kPl;lu; ePsKk;> 𝟐 × 𝟏𝟎−𝟕 𝒎𝟐 >
xU flj;jpapd; KidfSf;F ,ilNa FWf;Fntl;L gug;Gk; nfhz;l fk;gpapd;
2 Mk;gpau; kpd;Ndhl;lk; nry;fpwJ vdpy; kpd;jil 2 Xk; vdpy; mjd; (i) kpd;jil
mjd; kpd;jilia fhz;f. [TB – 47] vz; (ii) kpd; flj;J jpwd; kw;Wk;
juTfs; : (iii) kpd; flj;J vz; Mfpatw;iw fhz;f?
flj;jpapy; nry;Yk; kpd;dhl;lk;(I) = 2 A, [TB – 48]
kpd;dOj;j NtWghL (V) = 30 V
juTfs; : ePsk; L = 10 kP>
jPu;T :
Xk; tpjpapd; gb> kpd;jil R = 2 Xk;>
R =
V
=
30
= 𝟏𝟓 Ω FWf;Fntl;L gug;G A = 2 × 10−7 kP2
I 2
jPu;T :
9. 5 Ω> 3 Ω> kw;Wk; 2 Ω kpd;jil kjpg;Gfs; RA
nfhz;l %d;W kpd;jilahf;fpfs; (i) kpd;jil vz;> ρ =
L
10 Nthy;l; kpd;fyj;Jld; njhlupizg;gpy; 2×2×10−7
=
,izf;fg;gl;Ls;sJ. njhFgad; kpd;jil 10
R3 = 2 Ω, V = 10 V G = 0.5 Nkh
1
jPu;T : Rs = R1 + R2 + R3 (iii) kpd;flj;J vz; σ =
ρ
= 5 + 3 + 2 = 10 Ω
1
V 10 =
I = = =1A 4×10−8
RS 10
𝟖
∴ kpd;Rw;wpy; ghAk; kpd;Ndhl;lk; 1A. 𝛔 = 𝟎. 𝟐𝟓 × 𝟏𝟎 Nkh kP-1.
14. fPNo nfhLf;fg;gl;Ls;s kpd;Rw;wpy; 5Ω> 10Ω> kw;Wk; 2𝟎Ω kpd;jil cila
𝑹𝟏 , 𝑹𝟐 kw;Wk; 𝑹𝟑 Mfpa %d;W kpd;jilahf;fpfs; ,izf;fg;gl;Ls;sd. [TB – 56]
m) xt;nthU kpd;jil topahf nry;Yk; kpd;Ndhl;lk;.
M) kpd;Rw;wpy; ghAk; nkhj;j kpd;Ndhl;lk;.
,) kpd;Rw;wpy; cs;s nkhj;j kpd;jil Mfpaitfis fzf;fpLf.
m) %d;W kpd;jilahf;fpfs; gf;f ,izg;gpy;
,izf;fg;gl;Ls;sjhy; %d;W kpd;jilahf;fpfSf;F vjpuhf
cs;s kpd;dOj;jk; rkkhf ,Uf;Fk;. ⇒ V = 10 V
V 10
𝑅1 topahf nry;Yk; kpd;Ndhl;lk; I1= = =2A
R1 5
V 10
𝑅2 topahf nry;Yk; kpd;Ndhl;lk; I2 = = =1A
R2 10
V 10
𝑅3 topahf nry;Yk; kpd;Ndhl;lk; I3 = = = 0.5 A
R3 20
M) kpd;Rw;wpy; ghAk; nkhj;j kpd;Ndhl;lk;> I = I1 + I2 + I3
I = 2 + 1 + 0.5 = 3.5 A
1 1 1 1 1 1 1
,) kpd;Rw;wpy; cs;s nkhj;j kpd;jil> = + + = + +
RP R1 R2 R3 5 10 20
1 4+2+1 7
= =
RP 20 20
20
Rp = = 2.857 Ω
7
5. xypapay;
rpW tpdh
1. ,uh[];jhd; ghiytdq;fspy; fhw;wpd; ntg;gepiy 𝟒𝟔°𝐂-I mila ,aYk;. me;j
fzf;fL
P fs;
xyp miyapd; miyePsk; fhz;f. fhw;wpy; xypapd; jpirNtfk; 300 kPtp-1 vdpy;
Nkff;$l;lq;fs; vt;tsT cauj;jpy;
juTfs; : mjpu;ntz;> n = 200 Hz
cs;sJ?
jpirNtfk;> v = 400 kPtp-1
juTfs; : fhyk;> t = 9.8 tpehbfs;
miyePsk;> λ = ?
jpirNtfk;> v = 300 kPtp-1
v
jPu;T : jpirNtfk; v = n 𝜆 ⇒ 𝜆 = Nkfj;jpd; cauk;> d = ?
n
cauk;
𝜆 =
400
= 𝟐 kP jPu;T : v = ⇒ cauk; = 𝑣 × 𝑡
fhyk;
200
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P fs; 13
3. xUtu; 600 Hz mjpu;ntz; cila xyp 4. xU fg;gypypUe;J flypd; Moj;ij Nehf;fp
%yj;jpypUe;J 400 kP njhiytpy; kPnahypf; fjpu;fs; nrYj;jg;gLfpwJ.
mku;e;Js;shu;. xyp %yj;jpypUe;J tUk; flypd; Moj; ij mile; J vjpnuhypj;J
mLj;jLj;j ,Wf;fq;fSf;fhd miyT 1.6 tpehbfSf;Fg; gpwF Vw;gpia
Neuj;ijf; fhz;f? milfpwJ vdpy; flypd; Mok; vd;d?
juTfs; : xypapd; mjpu;ntz;> n = 600 Hz (fly; ePupy; xypapd; jpirNtfk; 1400 kPtp-1)
mLj;jLj;j ,Wf;fq;fSf;F ,ilapyhd juTfs; : miy mDg;Gjy; kw;Wk;
fhyk;>T = ? ngWjYf;F ,ilNa cs;s fhy
jPu;T : ,ilntsp> t = 1.6 tp
mLj;jLj;j jPu;T :
,Wf;fq;fSf;F = miyapd; fly; ePupy; xypapd; jpirNtfk;> V = 1400 kPtp-1
,ilapyhd fhyk; fhyk; (T) flypd; Mok; = ?
1 miy gazpj;j J}uk; = 2d
T=
n 2d Vt
=
1
= 0.00166 tpehbfs; jpirNtfk;, V = ⇒ d=
t 2
600
1400 × 1.6
T = 𝟏. 𝟕 × 𝟏𝟎−𝟑 tpehbfs;. d= = 𝟏𝟏𝟐𝟎 kP
2
5. xUtu; 680 kP ,ilntspapy; mike;Js;s ,uz;L nrq;Fj;jhdr; Rtu;fSf;F ,ilNa
epw;fpwhu;. mtu; jdJ iffisj; jl;Lk; XirahdJ vjpnuhspj;J KiwNa 0.9 tpehb
kw;Wk; 1.1 tpehb ,ilntspapy; Nfl;fpwJ fhw;wpy; xypapd; jpirNtfk; vd;d?
juTfs; : t1 = 0.9 tp kw;Wk; t2 = 1.1 tp Mfpad 2 vjpnuhypfs; milAk; Neuk;.
fhw;wpy; xypapd; jpirNtfk;, V = ?
jPu;T : d1, d2 vd;gd kdpjDf;Fk; RtUf;Fk; ,ilapyhd J}uk;
2d1 2d2
V= V=
t1 t2
𝑉×𝑡1 𝑉×𝑡2
d1 = d2 =
2 2
𝑉×𝑡1 𝑉×𝑡2 𝑉
d1 + d 2 = + = (t1 + t2) = 680 kP
2 2 2
𝑉
(0.9 + 1.1) = 680 kP
2
𝑉
× 2 = 680 kP ⇒ V = 680 kPtp-1
2
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14 ntw;wpf;F top - 10Mk; tFg;G mwptpay;
khjpufp ; fzf;Ffs;
8. ve;j ntg;gepiyspy; xypapd; jpirNtfkhdJ 𝟎° 𝑪 y; cs;sij tpl ,ul;bg;ghFk;?
juTfs; : Njitahd ntg;gepiy T° C vdf; nfhs;Nthk;. [TB – 62]
V1 kw;Wk; V2 vd;git KiwNa T1 K kw;Wk; T2 K ntg;gepiyapy; xypapd; jpirNtfk; MFk;.
𝑉2
T1 = 273K (0° C) kw;Wk; T2 = (T° C + 273)K ,q;F = 2 vdf; nfhLf;fg;gl;Ls;sJ.
𝑉1
𝑉2 𝑇2 𝑇+273
jPh;T : =√ =√ =2
𝑉1 𝑇1 273
𝑇+273
vdNt, = 4 ⇒ T = (273 x 4) – 273 ⇒ T = 1092 – 273 = 819℃
273
∴ 819°𝐶 ntg;gepiyspy; xypapd; jpirNtfkhdJ 0° 𝐶 y; cs;sij tpl ,ul;bg;ghFk;.
9. 90 Hz mjph;ntz;iz cila xyp %ykhdJ xypapd; jpirNtfj;jpy; (1/10) klq;F Ntfj;jpy;
Xa;T epiyapy; cs;s Nfl;Feiu milfpwJ. Nfl;Feuhy; czug;gLk; mjph;ntz; vd;d?
1
juTfs; : Vs = v, n = 90 Hz [TB – 68] [PTA – 4]
10
jPh;T : Xa;T epiyapy; cs;s Nfl;Feiu Nehf;fp> xyp %yk; efUk;NghJ> Njhw;w
𝑉
mjph;ntz;Zf;fhdr; rkd;ghL> 𝑛′ = ( )𝑛
𝑉−𝑉𝑠
𝑉 v 10
=( 1 ) 𝑛 = ( (10−1)v ) 𝑛 = ( ) 𝑛
𝑉−( )𝑣 9
10 10
10
𝑛′ = ( ) × 90 = 100 Hz
9
Nfl;Feuhy; czug;gLk; mjph;ntz; 100 Hz.
10. 500 Hz mjph;ntz;iz cila xyp %ykhdJ> 30 kPtp-1 Ntfj;jpy; Nfl;Feiu Nehf;fp
efh;fpwJ. fhw;wpy;; xypapd; Ntfk; 330 kPtp-1. vdpy; Nfl;Feuhy; czug;gLk; xypapd;
mjph;ntz; vd;d? [TB – 68] [PTA – 2]
juTfs; : V = 330 kPtp > Vs = 30 kPtp > n = 500 Hz
-1 -1
jPh;T : xa;T epiyapy; cs;s Nfl;Feiu Nehf;fp> xyp %yk; efUk;NghJ> Njhw;w
𝑉 330
mjph;ntz;Zf;fhdr; rkd;ghL> 𝑛′ = ( )𝑛 = ( ) × 500
𝑉−𝑉𝑠 330−30
330 11
𝑛′ = ( ) × 500 = × 500 = 550 Hz
300 10
Nfl;Feuhy; czug;gLk; mjph;ntz; 550 Hz.
11. xU xyp %ykhdJ 50 kPtp-1 jpirNtfj;jpy; Xa;T epiyapy; cs;s Nfl;Feiu Nehf;fp
efUfpwJ. Nfl;Feuhy; czug;gLk; Nehf;fp efUfpwJ. Nfl;Feuhy; czug;gLk; xyp
%yj;jpd; mjph;ntz;zhdJ 1000 Hz MFk;. me;j xyp %ykhdJ Xa;T epiyapy; cs;s
Nfl;Feiu tpl;L tpyfpr; nry;Yk; NghJ czug;gLk; Njhw;w mjph;ntz; vd;d? (xypapd;
jpirNtfk; 330 kP tp-1) [TB – 68] [MDL – 19]
juTfs; : V = 330 kPtp , Vs = 50 kPtp , n = 1000 Hz
-1 -1
jPu;T : xa;T epiyapy; cs;s Nfl;Feiu Nehf;fp> xyp %yk; efUk;NghJ> Njhw;w
𝑉
mjph;ntz;Zf;fhdr; rkd;ghL> 𝑛′ = ( )𝑛
𝑉−𝑉𝑠
330 330 1000×280
1000 = ( )𝑛 = ( )n ⇒ n = ( )= 848.48 Hz
330−50 280 330
xyp %yj;jpd; cz;ikahd mjph;ntz; 848.48 Hz MFk;. Xyp %ykhdJ Nfl;Feiu
tpl;L tpyfpr; nry;Yk;NghJ cs;s Njhw;w mjph;ntz;zpw;fhdr; rkd;ghL
𝑉 330
𝑛′ = ( )𝑛 = ( ) × 848.48 = 736.84 Hz
𝑉+𝑉𝑠 330+50
xypapd; Njhw;w mjph;ntz; 736.84 Hz.
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P fs; 15
12. Nfl;Feuhy; Nfl;fg;gLk; Njhw;w mjph;ntz;zhdJ cz;i kahd mjph;ntz;zpy;
ghjpahf ,Uf;f Ntz;Lnkdpy; xyp %yk; vt;tsT Ntfj;jpy; Nfl;Feiu tpl;L tpyfpr;
nry;y Ntz;Lk;? [TB – 69] [PTA – 5]
n
juTfs; : n′ =
2
jPh;T : xyp %ykhdJ> Xa;T epiyapy; cs;s Nfl;Feiu tpl;L tpyfpr; nry;Yk;NghJ>
𝑉
Njhw;w mjph;ntz;zpw;fhd rkd;ghL> 𝑛′ = ( ).𝑛
𝑉+𝑉𝑠
𝑛 𝑉
=( ).𝑛
2 𝑉+𝑉𝑠
Vs = V
13. xyp %yKk;> Nfl;FeUk; V/10 Ntfj;jpy; xUtiunahUtu; Nehf;fp efh;fpd;wdh;. ,q;F
v vd;gJ xypapd; Ntfk; MFk;. Xyp %yj;jpy; ntspg;gLk; xypapd; mjph;ntz; '𝑓| vdpy;>
Nfl;Feuhy; Nfl;fg;gLk; xypapd; mjph;ntz; vd;d? [TB – 68]
v v
juTfs; : V𝑙 = kPtp , Vs = kPtp ,
-1 -1
n =𝑓
10 10
jPh;T : xyp %yKk;> Nfl;FeUk; V/10 Ntfj;jpy; xUtiunghUth; Nehf;fp efUk;NghJ>
𝑉+𝑉
Njhw;w mjph;ntz;zhdJ 𝑛′ = ( 𝑙) . 𝑛
𝑉−𝑉𝑠
𝑣
𝑉+ 11v 10 11
′ 10
𝑛 =( 𝑣 ).𝑛 = ( × )𝑓 = 𝑓 = 1.22 𝑓
𝑉− 10 9v 9
10
$Ljy; fzf;Ffs;
14. nfhLf;fg;gl;Ls;s glj;jpypUe;J xyp 15. ntw;wplj;jpy; gazpf;Fk; 3000A°
vjpnuhypg;Gf; Nfhzj;ijf; fzf;fpLf. miyePsKs;s fz;ZW xspapd;
[PTA – 4] mjpHntz;izf; fhz;f. [PTA – 5]
juTfs; :
miyePsk;> (λ) = 3000 Å
= 3000 × 10−10 kP
jPu;T :
xypapd; jpirNtfk;(c)= 3 × 108 kPtp-1
C
jPu;T : i = 90̊ – 50̊ = 40̊ mjpHntz; (ν) =
λ
3×108
gLNfhzk; (i) = vjpnuhypg;Gf; Nfhzk; (r) =
3000×10−10
3×108
xypapd; vjpnuhypg;Gf; Nfhzk;, (r) = 40̊ =
3×10−7
mjpHntz; (𝜈) = 1015 Hz
6. mZf;fU ,aw;gpay;
fzf;fL
P fs;
1. Ra226 vd;w jdpkk; 3 My;gh rpijtpw;F cl;gLfpwJ vdpy; Nra; jdpkj;jpy; cs;s
88
epA+l;uhd;fspd; vz;zpf;ifiaf; fzf;fpLf.
3 α- rpijT 88Ra →
226
z-2Y
A-4
+ 3 2He4
jha; jdpkj;jpd; epiw vz; = %d;W My;gh jdpkj;jpd; epiw vz; + Nra; jdpkj;jpd; epiw vz;
226 = 34 +A
226 = 12 + A
A = 226 – 12
A = 214
jha; jdpkj;jpd; mZ vz; = %d;W My;gh jdpkj;jpd; mZ vz; + Nra; jdpkj;jpd; mZ vz;
88 = 32 + Z
88 = 6 + Z
Z = 88 – 6
Z = 82
epA+l;uhd;fspd; vz;zpf;if = A – Z
= 214 – 82 = 132
2. Nfhghy;l; khjpup> xU tpdhbapy; 75.6 kpy;yp fpA+up vd;w mstpy; J}z;lg;gl;l fjpupaf;fr;
rpijtpid ntspapLfpwJ vdpy; ,r;rpijtpidg; ngf;nfhuy; myfpw;F khw;Wf. (xU
fpA+up vd;gJ 3.71010 ngf;nfhuy;).
xU fpA+up = 3.71010 ngf;nfhuy;
75.6 kpy;yp fpA+up = 75.6 ×10-3 × 3.7 ×1010
= 75.6× 3.7 ×107
= 279.72 ×107
= 0. 28 ×1010 ngf;nfhuy;
khjpufp ; fzf;Ffs;
3. fPof ; ;fz;l mZf;fU tpidapypUe;J A, 4. xU uhlhd; khjpupapypUe;J xU
B, C kw;Wk; D Mfpatw;iwf; fhz;f. tpdhbapy; 3.7×10 GBq fjpupaf;fk;
3
$Ljy; fzf;Ffs;
𝟐𝟑𝟖
7. 𝟗𝟐 𝑼 vd;w jdpkk; My;gh rpijtpw;F 8. 92U235 vd;w mZf;fUthdJ Xu; My;gh
cl;gLfpwJ vdpy;> Nra; jdpkj;jpy; rpijtpw;F cl;gLfpwJ vdpy; Gjpjhf
cs;s epA+l;uhd;fspd; vz;zpf;ifiaf; cUthFk; Nra; cl;fUtpd; epA+l;uhd;fspd;
fzf;fpLf. [SEP – 2021] vz;zpf;ifiaf; fzf;fpLf. [PTA – 1]
xU 𝜶 rpijT 92U → ZY + 2He
238 A 4
+Mw;wy; xU 𝜶 rpijT 92U → ZY + 2He
235 A 4
+Mw;wy;
epiw vz; (A) = 238 – 4 = 234 epiw vz; (A) = 235 – 4 = 231
mZ vz; (Z) = 92 – 2 = 90 mZ vz; (Z) = 92 – 2 = 90
epA+l;uhd;fspd; vz;zpf;if = A – Z epA+l;uhd;fspd; vz;zpf;if = A – Z
= 234 – 90 = 144 = 231 – 90 = 141
9. 1fpfp epiw tOTila xU fjpupaf;fg; 10. fPo;f;fhz; mZf;fU tpidapy; X vDk;
nghUshdJ mZf;fU ,iztpd; NghJ cl;fU Y vDk; cl;fUthf khWfpwJ.
ntspahFk; nkhj;j Mw;wiyf; cl;fU Y ,d; mZ vz; kw;Wk; epiw
fzf;fpLf. [PTA – 5] vz;izf; fhz;f. 88X226→ Y+ 2He4 + Mw;wy;
tpidapd;NghJ epiwtO (m) = 1 kg 1 𝜶 rpijT 88X → ZY + 2He
226 A 4
+Mw;wy;
xspapd; jpirNtfk; (c) = 3 × 108 m s-1 epiw vz; (A) = 226 – 4 = 222 [PTA – 5]
Id;];Bd; epiw Mw;wy; rkd;ghL> mZ vz; (Z) = 88 – 2 = 86
E = mc2
∴ Y ,d; mZ vz; 86 kw;Wk; epiw
vdNt> E = 1× (3 × 108)2
vz; 222 MFk;.
E = 9 × 1016 J (m) 0.9 × 1017 J
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18 ntw;wpf;F top - 10Mk; tFg;G mwptpay;
cau; rpe;jidf;fhd tpdhf;fs;
1. mZf;fU tpidf;Fl;gLk; fjpupaf;fj; jdpkk; xd;wpd; epiw vz;: 232> mZ vz;: 90
vdpy; fjpupaf;fj;jpw;Fg; gpd; fhuPa INrhNlhg;ghf khWfpwJ. fhuPa INrhNlhg;gpd; epiw
vz; 208 kw;Wk; mZ vz; 82 vdpy; ,t;tpidapy; epfo;e;Js;s My;gh kw;Wk; gPl;lhr;
rpijTfspd; vz;zpf;ifiaf; fzf;fpLf.
a, b vd;git KiwNa My;gh> gPl;lhr; rpijTfspd; vz;zpf;if vd;f.
90X
232
→ 82Pb208 + a 2He4 + b -1e0
epiw vz; cld; xg;gpl : mZ vz; cld; xg;gpl :
‘a’ My;gh Jfspd; epiw vz;= 4a ‘a’ My;gh Jfspd; mZ vz; = 2a
‘b’ gPl;lh Jfspd; epiw vz; = 0 ‘b’ My;gh Jfspd; mZ vz; = -b
232 = 208 + 4a + 0 90 = 82 + 2a - b
4a = 232 – 208 90 - 82 = 2a – b
4a = 24 8 = 2 (6) – b
a=6 b = 12 – 8 = 4
∴My;gh rpijTfspd; vz;zpf;if 6 kw;Wk; gPl;lh rpijTfspd; vz;zpf;if 4 MFk;.
7. mZf;fSk; %yf;$WfSk;
RUf;fkhf tpilasp
1. mk;Nkhdpahtpy; cs;s iel;u[dpd; rjtPj ,iaigf; fz;lwpf. [PTA – 1]
NH3 d; %yf;$W epiw = 14 +(1 × 3) = 17fp
14
NH3 y; cs;s iel;u[dpd; rjtPj ,iaG = × 100 = 82.35%
17
tpupthf tpilasp
1. 0.18fp ePH Jspapy; cs;s ePH %yf;$Wfspd; vz;zpf;ifia fzf;fpL.
H2O –d; %yf;$W epiw = (1 × 2) + 16 = 18 fp
ePupd; epiw
%yf;$Wfspd; vz;zpf;if = × mtfhl;Nuh vz;
%yf;$W epiw
0.18
= × 6.023 × 1023 = 6.023 × 1021
18
∴ ePu; %yf;$Wfspd; vz;zpf;if = 6.023× 1021
2. N2 + 3H2 → 2NH3 (N=14, H=1)
1 Nkhy; iel;u[d;= ____fp + 3Nkhy; i`l;u[d;= ___fp→ 2Nkhy; mk;Nkhdpah = ___fp
epiw = Nkhy;fspd; vz;zpf;if ×%yf;$W epiw
N2 –d; epiw = 1 × (14 × 2) = 28
H2 –d; epiw = 3 × (1 × 2) = 6
NH3 –d; epiw = 2 × (14 + (3 × 1)) = 34
1 Nkhy; iel;u[d; = 28 fp + 3Nkhy;> i`l;u[d;= 6 fp →2Nkhy; mk;Nkhdpah = 34 fp
3. Nkhy;fspd; vz;zpf;ifiaf; fz;lwpf. m) 27fp mYkpdpak; M) 1.51×1023 %yf;$W NH4Cl.
m) 27fp mYkpdpak; [PTA – 5] M) 1.51×1023 %yf;$W NH Cl. [PTA – 5]
4
𝐴𝑙 -d; epiw %yf;$Wfspd; vz;zpf;if
Nkhy;fspd; vz;zpf;if = Nkhy;fspd; vz;zpf;if=
𝐴𝑙 -d; mZepiw mtfhl;Nuh vz;
27
= = 1 Nkhy; 1.51×1023
27 = = 0.25 Nkhy;
6.023×1023
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fzf;fL
P fs; 19
$Ljy; tpdhf;fs;
4. Ntjpj;njhopw;rhiyfspy; gpd;tUk; Ntjptpid %yk; mk;Nkhdpah jahupf;fg;gLfpwJ.
𝐍𝟐 + 𝟑𝐇𝟐 ⇄ 𝟐𝐍𝐇𝟑 Nkhy;fUj;ij mbg;gilahff; nfhz;L 1000 fpNyh fpuhk; mk;Nkhdpah
jahupf;f vt;tsT fpNyh fpuhk; i`l;u[d; kw;Wk; iel;u[d; thA Njitg;gLk; vd;gij
Nkw;fz;l Ntjptpid %yk; fzf;fpLf. [PTA – 3]
ntspapLk; NH3 epiw = 1000 fpfp =10 fp6
fzf;fL
P fs;
1. fPof
; z;ltw;wpd; epiwiaf; fhz;f. [PTA – 4]
epiw = Nkhy;fspd; vz;zpf;if × %yf;$W epiw
m) 2 Nkhy;fs; i`l;u[d; %yf;$W> H2 M) 3 Nkhy;fs; FNshhpd; %yf;$W> Cl2
%yf;$W epiw = 1 × 2 = 2 %yf;$W epiw = 35.5 × 2 = 71
epiw = 2 × 2 = 4 fp epiw = 3 × 71 = 213 fp
,) 5 Nkhy;fs; ry;gH %yf;$W> S8 <) 4 Nkhy;fs; gh];gu]; %yf;$W> P4
%yf;$W epiw = 32 × 8 = 256 %yf;$W epiw = 31 × 4 = 124
epiw = 5 × 256 = 1280 fp epiw = 4 × 124 = 496 fp
2. fhy;rpak; fhh;gNdl;by; cs;s xt;nthU jdpkj;jpd; rjtPj ,iaigf; fhz;f. [PTA – 2]
(epiw vz; Ca =40, C =12, O =16)
CaCO3-d; %yf;$W epiw = 40 + 12 + (16 × 3) = 100 fp
jdpkj;jpd; jdpkj;jpd; mZepiw jdpkj;jpd;
jdpkq;fs; × 𝟏𝟎𝟎
mZepiw %yf;$W epiw rjtPj ,iaG
40
Ca 40 × 100 40 %
100
12
C 12 × 100 12 %
100
48
O 48 (3× 16 = 48) × 100 48 %
100
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20 ntw;wpf;F top - 10Mk; tFg;G mwptpay;
3. Al2(SO4)3 -y; cs;s Mf;rp[dpd; rjtPj ,iaigf; fhz;f.
(epiw vz; kjpg;Gfs; Al = 27, O = 16, S = 32) [PTA – 2]
Al2(SO4)3 -d; %yf;$W epiw = (2 × 27) + (3×(32 +(4 ×16)))
= (2 × 27) + (3×96)
= 54 + 288 = 342 fp
3 ×4×16
Al2(SO4)3 -y; cs;s Mf;rp[dpd; rjtPjk; = × 100
342
192
= × 100 = 56.14%
342
4. Nghuhdpd; ruhrhp mZepiw 10.804 amu vdpy; B-10 kw;Wk; B-11 rjtPj gutiyf; fhz;f.
𝑎1 , 𝑎2 vd;gJ B-10 kw;Wk; B-11 Mfpatw;wpd; rjtPj guty;fs; vd;f.
B-10-d; epiw> m1 = 10 B-11-d; epiw> m2 = 11
𝑎1 +𝑎2 = 100
𝑎1 = 100 − 𝑎2
Nghuhdpd; ruhrup mZepiw = 10.804 amu
a a
ruhrup mZepiw = m1 × 1 + m2 × 2
100 100
(100−𝑎2 ) a2
= 10 × + 11 ×
100 100
𝑎2 11a2
= 10 × (1 − )+
100 100
10𝑎2 11a
= 10 − + 2
100 100
a2
10.804 = 10 +
100
a2
= 10.804 – 10 = 0.804
100
𝑎2 = 0.804 × 100 = 80.4 %
𝑎1 = 100 − 80.4 = 19.6 %
∴ B-10–d; rjtPj guty; = 19.6 %
B-11–d; rjtPj guty = 80.4%
khjpufp ; fzf;Ffs;
ruhrhp mZepiwiaf; fzf;fpLjy;
5. g+kpapd; Nkw;gug;G kw;Wk; kdpj clypy; mjpfkhff; fhzg;glf;$ba jdpkk; Mf;rp[d;.
mJ ml;ltiz 7.3 ,y; nfhLf;fg;gl;Ls;sthW %d;W tifahd epiyj;j
INrhNlhg;Gfspd; fyitahf cs;sJ. [TB – 93, 94]
INrhNlhg; epiw (amu) % guty;
16
8O 15.9949 99. 757
17
8O 16.9991 0.038
18
8O 17.9992 0.205
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22 ntw;wpf;F top - 10Mk; tFg;G mwptpay;
epiw kw;Wk; gUkidg; gad;gLj;jp Nkhy;fisf; fzf;fpLjy;
11. i) 46 fp Nrhbaj;jpd; Nkhy;fisf; fzf;fpLf [TB – 99] [MDL – 19]
epiw 46
Nkhy;fspd; vz;zpf;if = = = 2 Nkhy;
mZ epiw 23
ii) S.T.P ,y; 5.6 ypl;lu; Mf;rp[d;
gUkd; 5.6
Nkhy;fspd; vz;zpf;if = = = 0.25 Nkhy;
Nkhyhu; gUkd; 22.4
iii) 12.046 × 1023 ,Uk;gpd; Nkhy;fisf; fzf;fpL.
mZf;fspd; vz;zpf;if 12.046 × 1023
Nkhy;fspd; vz;zpf;if = = = 2 Nkhy;.
mtfhl;Nuh vz; 6.023 × 1023
9. fiury;fs;
tpupthf tpilasp
1. 180fp ePupy;> 45fp Nrhbak; FNshiuilf; fiuj;J xU fiury; jahupf;fg;gLfpwJ.
fiunghUspd; epiw rjtPjj;ij fhz;f.
juTfs; : fiug;ghdpd; epiw = 180 fp @ fiunghUspd; epiw = 45 fp
fiunghUspd; epiw
jPu;T : fiunghUspd; epiw rjtPjk; = × 100
fiunghUspd; epiw + fiug;ghdpd; epiw
45 4500
= × 100 = = 20%
45+180 225
∴ fiunghUspd; epiw rjtPjk; 20%
2. 15 yp vj;jdhy; ePu;f;fiurypy; 3.5 yp vj;jdhy; fye;Js;sJ. vj;jdhy; fiurypd; fdmsT
rjtPjj;ij fz;lwpf. [PTA – 2]
juTfs; : fiunghUspd; fdmsT = 3.5 yp @ fiurypd; fdmsT = 15 yp
fiunghUspd; fdmsT 3.5
jPu;T : fdmsT rjtPjk; = × 100 = × 100 = 23. 33%
fiurypd; fdmsT 15
khjpufp ; fzf;Ffs;
5. 0.01 M HNO3 fiurypd; pH kjpg;G fhz;f? 6. xU fiurypd; i`l;uhf;rpy; madp
juTfs; : [TB – 147] [MDL – 19] nrwpT 1 × 10-9M vdpy; mf;fiurypd;
[H+ ] = 0.01 = 10−2 pOH kjpg;G vd;d? [TB – 147, 148]
jPu;T : juTfs; : [OH ] = 1 × 10−9 = 10−9
−
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