05 01 2024 SR S60 Elite, Target & LIIT BTs Jee Main GTM
05 01 2024 SR S60 Elite, Target & LIIT BTs Jee Main GTM
05 01 2024 SR S60 Elite, Target & LIIT BTs Jee Main GTM
.
Question Answered for M arking Question Cancelled for M arking
M arking scheme: +4 for correct answer, 0 if not attempt and -1 in all other cases.
Yashpatil TG~ @bohring_bot
SRI CHAITANYA IIT ACADEMY, INDIA 05-01-2024 _Sr .S60_Elite, Target & LIIT-BTs _Jee-Main_GTM-08_Q.P
6. Use Blue / Black Point Pen only for writing particulars / marking responses on the Answer Sheet. Use of pencil is
strictly prohibited.
7. No candidate is allowed to carry any textual material, printed or written, bits of papers, mobile phone any electron
device etc, except the Identity Card inside the examination hall.
8. Rough work is to be done on the space provided for this purpose in the Test Booklet only.
9. On completion of the test, the candidate must hand over the Answer Sheet to the invigilator on duty in the Hall.
However, the candidate are allowed to take away this Test Booklet with them.
10. Do not fold of make any stray marks on the Answer Sheet
Admission Number:
Candidate’s Signature:________________ Invigilator’s Signature: ________________
05-01-2024_Sr .Super60_Elite, Target & LI IT-BTs _ Jee-Main_GTM-08_Test Syllabus
PHYSICS : TOTAL SYLLABUS
CHEM ISTRY : TOTAL SYLLABUS
M ATHEM ATICS : TOTAL SYLLABUS
speed of 10ms 1 gets embedded in it, then loss of kinetic energy will be
1)4.9 J 2) 9.8J 3)14.7J 4) 19.6J
2. The length of metallic wire is l1 when tension in it is T1 . It is l2 when the tension is T2 . The
original length of the wire will be
T l T l l l T l T l T l T l
1) 1 1 2 2 2) 1 2 3) 2 1 1 2 4) 2 1 1 2
T2 T1 2 T1 T2 T2 T1
3. Two point charges Q each are placed at a distance d apart. A third point charge q is placed at
a distance x from mid- point on the perpendicular bisector. The value of x at which charge q
will experience the maximum Coulomb’s force is:
d d d
1) x d 2) x 3) x 4) x
2 2 2 2
4. When the switch S, in the circuit shown, is closed then the valued of current I will be:
i1 C i2
20V 10V
A 2 4 B
i
2
V 0
1)3A 2) 5A 3) 4A 4) 2A
a2 0 8 2 0 b2 0 8 2
1) 0 8 2 2) 3) 8 2 4)
4 b 4 a 4 a 4 b
6. An isolated and charged spherical soap bubble has a radius ‘r’ and the pressure inside is
atmospheric. If ‘T’ is the surface tension of soap solution, then charge on drop is:
2rT 2rT
1) 2 2) 8 r 2rT 0 3) 8 r rT 0 4) 8 r
0 0
7. For the arrangement shown in the figure, let a and T be the acceleration of the blocks and
tension in the string respectively. The string and the pulley are frictionless and massless.
Which of the graphs show the correct relationship between a and T for the system in which
sum of the two masses m1 and m2 is constant.
m1 m2
m2
m1
T T
1) a2 2) a2
T T
1 1
3) a2 4) a2
15. A projectile is thrown with a velocity of 10 2 m / s at an angle of 45 with horizontal. The
interval between the moments when speed is 125m / s is g 10m / s 2
1)1.0 s 2) 1.5 s 3) 2.0 s 4) 0.5 s
Sec: Sr.Super60_Elite, Target & LIIT-BTs Page 6
Yashpatil TG~ @bohring_bot
SRI CHAITANYA IIT ACADEMY, INDIA 05-01-2024 _Sr .S60_Elite, Target & LIIT-BTs _Jee-Main_GTM-08_Q.P
16. A particle leaves the origin at t = 0 and moves in the positive x-axis direction. Velocity of
t
the particle at any instant is given by v u 1 . If u 10ms 1 and t ' 5s , find the x-
t'
coordinate of the particle at an instant of 10 s.
v ms 1
t'
t s
1)-10m 2) 0 3) 10 m 4) 20 m
P2
17. During an experiment, an ideal gas is found to obey a condition cons tan t ,
density of the gas . The gas is initially at temperature T, pressure P and density . The
gas expands such that density changes to /2. Then,
1) The pressure of the gas changes to 2P
T
2) The temperature of the gas changes to
2
3) The temperature of the gas changes to 2T
4) The graph of the above process on P-T diagram is hyperbola.
18. Equal masses of three liquids A, B and C have temperatures 10 C , 25 C and 40 C
respectively. If A and B are mixed, the mixture has a temperature of 15 C . If B and C are
mixed, the mixture has temperature of 30 C . If A and C are mixed, the mixture will have a
temperature of
23. An organ pipe 40cm long is open at both ends. The speed of sound in air is 360ms 1 . The
24. The same size images are formed by a convex lens when the object is placed at 20 cm or at
25. A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3 : 2.
1
x
The ratio of their nuclear sizes will be 3 . The value of ‘x’ is :
3
3
plate capacitor but has a thickness d , [Where d is the separation between the plates] is
4
xc0
inserted between the plates, then the capacitance of the capacitor becomes ( c0 =
2
27. A storage battery of emf 8.0 V and internal resistance 0.5 is being charged by a 136 V dc
supply using a series resistor of 15.5 . Find the terminal voltage of the battery during
charging?
28. Two long and parallel straight wires A and B carrying currents of 8.0 A and 5.0 A in the
same direction are separated by a distance of 4.0 cm. The magnitude of force on a 10 cm
29. The work functions of two metals A and B are 4 eV and 2eV respectively. The ratio of
slopes of the graph drawn between maximum kinetic energy of emitted electron and
30. An electron is in an excited state in a hydrogen atom. It has a total energy -3.4 eV. Its de
electron = 9 10 31 kg ].
1) 2) 3) 4)
34.
List-1 List-II
Reaction Reagents
(A) Hoffmann Degradation (1) Conc.KOH,
(B) Clemenson reduction (II) CHCl3 , NaOH / H 3O
(C) Cannizaro reaction (III) Br2 , NaOH
(D) Reimer-Tiemann reaction (IV) Zn Hg / HCl
1) A III , B IV , C II , D I
2) A II , B IV , C I , D III
3) A III , B IV , C I , D II
4) A II , B I , C III , D IV
38. The primary and secondary valencies of cobalt respectively in Co NH 3 5 Cl Cl2 are:
1) 2) 3) 4)
with 325 mL of HCl( aq ) with a density of 1.15 g/ml and 30.1% HCl by mass, how many
(A)
(Q) 5 p x
(B)
(C) ( , )=K (independent of & ) (R) 3s
(D) At least one angular node is present (S) 6 d xy
1) K 2 K1 K3 / 2 2) pK1 pK3 3) K1 K 2 4) K 2 K3
B) CH 3CO2 2 Ca
distilation
Q) Me2CO
C) HO OH
HSO4
R) MeCHO
Pd / BaSO
D) CH3COCl
4 S) Product gives test iodoform test
H2
Column – I Column – II
-D-Glucopyranose Transformation
1) 2)
3) 4)
NUMERICAL VALUE TYPE)
Section-II contains 10 Numerical Value Type questions. Attempt any 5 questions only. First 5 attempted questions will be considered if more than 5
questions attempted. The Answer should be within 0 to 9999. If the Answer is in Decimal then round off to the nearest Integer value (Example i,e. If answer
is above 10 and less than 10.5 round off is 10 and If answer is from 10.5 and less than 11 round off is 11).
Marking scheme: + 4 for correct answer, 0 if not attempt and -1 in all other cases.
51. If a pure enantiomer of 1-bromo-2-butene is treated with Br2/CCl4 in presence of FeBr3, how
many different products (including stereoisomers) would result?
52.
H 2
Ni
product
1mole
1mole
If the number of moles of benzene which remain after complete reaction is x then 100x = ?
53. How many non axial d orbitals are involved in the hybridization of CrO2Cl2 ?
D im erise
A
B
56. How many of the following orders/statements are correct.
a) IP1 of nitrogen is not less than that of oxygen
b) IP1 of Pb is less than that of Sn
c) Electronegativity order B Tl In Ga Al
d) IP2 order B C Be
e) Electron gain enthalpy order Ne Ar Kr Xe He Rn
f) Electron affinity of Be+4 is 217.6 ev/ion nearly.
g) Electronegativities of K & Rb are same
h) Order of sizes Tl In Al Ga B
i) Official IUPAC name of element with atomic number 105 is Unnilquadium.
2
57. With respect to the complex ion Mn OH 2 6 how many of the following statements are
true?
I. It is diamagnetic.
II. It is a low spin complex.
59. If 4 A current produced in fuel cell, use for the deposition of Ag in 1L AgNO3 aq solution
If each element of the set T is an element of exactly 20 of sets X i ’s and exactly 6 of sets Yi
1) 15 2) 50 3) 45 4) 30
1 cos2 t 1 cos 2 t
I
I1 x f ( x(2 x )) dx & I 2 f ( x(2 x))dx . Then 1
I2
2
sin t sin 2 t
1 2
1) 1 2) 3 3) 4)
3 5
x x
63. 2 xy y y 2 xy
The general solution of the differential equation x y .e e dy y e y .e dx is
x y x y
1) e xy e y c xy
2) e e x c 3) e xy e y c
4) e xy
ex c
64. If from each of the three boxes containing 3 white & 1 black, 2 white & 2 black, 1 white & 3
black balls, one ball is drawn at random, then the probability that 2 white & 1 black ball will
be drawn is
13 1 1 3
1) 2) 3) 4)
32 4 32 16
66. If one of the diameters of the circle x 2 y 2 2 x 6 y 6 0 is a chord to the circle with
1) 4 2) 3 3 3) 3 4) 5
67. Two families with three members each and one family with four members are to be seated in
a row. In how many ways can they be seated so that the same family members are not
separated?
2 2
2) f x
4
1) f x 4 3) f x 2 4) f x 4
69. If both roots of quadratic equation ax 2 x c a 0 are imaginary and c > -1, then
1) 3a 2 4c 2) 3a 2 4c 3) c a 4) None of these
z1 z2 is
1
1) 2) 2 3) 2 4) 2 2
2
3 3 1
71. Statement –I: The equation sin 1 x cos 1 x a 3 0 has a solution for all a .
32
2
9 2
Statement –II: For any x 1,1,sin 1
x cos 1
x , and 0 sin 1 x .
2 4 16
1) Both statement I and II are true.
2) Both statement I and II are false.
3) Statement I is true and statement II is false
4) Statement I is false sand statement II is true
1
Statement –I: The largest term in the expansion of 4 3x
50
72. when x is the 8th term
4
n 1 a
Statement –II: Greatest term in the expansion of x a is rth term where r
n
xa
x
when [y] represents greatest integer and 0
a ,
1) Both statement I and II are false.
74.
Statement I: The sum of algebraic distances from the points n , n 2 , where
n=1,2,3,………….2023 to a variable straight line is zero and if such a line always passes
through the point , then 1366200
Statement II: If sum of algebraic distances from the points xi , yi , where i 1,2,3........n to a
n n
variable straight line is zero then that the line passes through the point xi , yi
i 1 i 1
1) Both statement I and II are true.
2) Both statement I and II are false.
3) Statement I is true and statement II is false
4) Statement I is false sand statement II is true
75. Consider of the following statements is/are true?
f ( c h ) f (c h )
Statement I: If f is differentiable at x=c, then Lim exists and equals
h 0 2h
f ' (c ).
2 1
x sin 2 , x0
Statement II: Let g ( x) x , then g ' exists and g ' is continuous, everywhere
0, x0
on R
1) Both I and II are true 2) I is true, II is false
3) I is false, II is true 4) both I and II are false
of 4 a . b b.c a .c is __________
85. A and B are two non-empty sets and A is proper subset of B. If n( A) 4, then minimum
possible value of n( AB) is __________ (where denotes symmetric difference of set A
and B)
86. Let a,b,c be any real numbers. Suppose that there are real numbers x, y, z not all zero such
87. The value of “ a ” for which the equation x 3 2ax 2 0 and x 4 2 ax 2 1 0 have a
common root is “ ” then | 8 | is
88. If M and m are the maximum and minimum distances of the point P(2,6) from the ellipse
( x 2) 2 ( y 1) 2
1, then the value of M-2m is ___________
9 16
points 3,4 , 5,3 , 2,6 and 1,0 then the value of g f is ____________
2
1 1 1
90. If tan15 tan195 2a then the value of a is
tan 75 tan105 a