Sri Chaitanya IIT Academy., India.: 2015 - PAPER-II
Sri Chaitanya IIT Academy., India.: 2015 - PAPER-II
Sri Chaitanya IIT Academy., India.: 2015 - PAPER-II
2015_PAPER-II
21-06-20_Sr.Chaina/Sr.Super 60_(In Com)_Jee-Adv2015-P2
WTA-28_Syllabus
PHYSICS : Electric potential energy, potential, relation between field and potential, conservation of
energy and potential due to various continuous charge distributions, complete electric dipole, EXCLUDE : Gauss
law, properties of conductors, electro static pressure, electro static self energy.
CHEMISTRY : Group-17
JEE-ADVANCE-2015-P2-Model
Time: 3:00 Hours IMPORTANT INSTRUCTIONS Max Marks: 240
PHYSICS:
+Ve - Ve No.of Total
Section Question Type
Marks Marks Qs marks
Sec – I(Q.N : 1 – 8) Questions with Integer Answer Type 4 0 8 32
Sec – II(Q.N : 9 – 16) Questions with Multiple Correct Choice 4 -2 8 32
Questions with Comprehension Type
Sec – III(Q.N : 17 – 20) 4 -2 4 16
(2 Comprehensions – 2 + 2 = 4Q)
Total 20 80
CHEMISTRY:
+Ve - Ve No.of Total
Section Question Type
Marks Marks Qs marks
Sec – I(Q.N : 21 – 28) Questions with Integer Answer Type 4 0 8 32
Sec – II(Q.N : 29 – 36) Questions with Multiple Correct Choice 4 -2 8 32
Questions with Comprehension Type
Sec – III(Q.N : 37 – 40) 4 -2 4 16
(2 Comprehensions – 2 + 2 = 4Q)
Total 20 80
MATHEMATICS:
+Ve - Ve No.of Total
Section Question Type
Marks Marks Qs marks
Sec – I(Q.N : 41 – 48) Questions with Integer Answer Type 4 0 8 32
Sec – II(Q.N : 49 – 56) Questions with Multiple Correct Choice 4 -2 8 32
Questions with Comprehension Type
Sec – III(Q.N : 57 – 60) 4 -2 4 16
(2 Comprehensions – 2 + 2 = 4Q)
Total 20 80
1 1 2
2. Electric potential in a 3 dimensional space is given by V volts .
x y z
Where x, y and z are in meters. A particle of charge q 1012 C and mass m 109 g and
is constrained to move in x-y plane. The initial acceleration of particle when released at
1,1,1 m is n m / s2 . Find the value of ‘n’.
3. A charge of 5 C is placed at the center of a square ABCD of side 10 cm. Find
the work done in J in moving a charge of 1C from A to B
4. The linear charge density on a dielectric ring of radius R varies with
as cos , where 0 is constant. Find the potential at the center O of the
2
ring (in volt)
of mass 10kg start from rest from point (2, 3.2) under the influence of this field. Final
velocity in mm/s of particle when it crosses x-axis. The charge on particle is 1C . V and
x, y are in SI units.
6. In a certain region, electric field E exists along the x-axis which is uniform. Given
7. Figure shows three circular arcs, each of radius R and total charge as indicated.
Q
The net electric potential at the center of curvature . Find N.
N 0 R
8. An electric dipole is placed in a uniform electric field. The dipole, when its axis is
inclined to field direction at 30 experiences a torque 0.2 N-m. Then its potential
energy, when its axis is along the field, will be n 101 J . Find the value of ‘n’.
P sin sin
A) Potential, V
40r 2
P sin cos
B) Potential, V
40r 2
P
C) Electric field Intensity. E 1 3sin2 sin2
40r 3
P
D) Electric field Intensity, E 1 3cos 2 sin2
40r 3
Q p(small dipole)
r
A) Force acting on the dipole is zero
pQ
B) Force acting on the dipole is approximately .
4 0 r 3
pQ
C) Torque acting on the dipole is approximately in clockwise direction.
4 0 r 2
pQ
D) Torque acting on the dipole is approximately in clockwise direction.
2 0 r 2
12. The electric potential decreases uniformly from 120V to 80V as one moves on the
x axis from x 1 cm to x 1cm . The electric field at the origin:
A) Must be equal to 20 V/cm B) May be equal to 20 V/cm
C) May be greater than 20 V/cm D) May be less than 20 V/cm
13.
The ratio of energy density in electric field U E to square of potential V 2 at a
point ‘A’ at a distance ‘x’ from static point charge Q is ‘n’. The value of this ratio at
a distance ‘3x’ from the charge is
n 2n n
A) n B) C) D)
4 9 9
14. A short electric dipole is placed in the electric field due to a point charge. Then
A) the dipole must experience a force.
B) the dipole may experience a force.
C) the dipole must experience a torque.
D) the dipole may experience a torque.
A) The electric field at each point on y-z plane (except at infinity) must be
perpendicular to y-z plane.
B) If electric field exists at a point on y-z plane, it must be perpendicular to yz
plane.
C) Potential at each point on y-z plane is zero.
D) There is a circle of finite radius on y-z plane with centre at origin such that
both electric field and potential are zero at each point on its periphery.
16. A dipole of dipole moment p p0ˆj is placed at point , 0 . There exists an
electric field E 2ax 2ˆi 2by 2 2cy ˆj . Then
A) force on dipole is 2p 0cjˆ
B) force on dipole is p0 2c 4b ˆj
C) Torque on dipole about its centroidal axis is 2p 0akˆ
D) Torque on dipole about its centroidal axis is zero
SECTION – III
(PARAGRAPH TYPE)
This section contains 2 groups of questions. Each group has 2 multiple choice questions based on a paragraph.
Each question has 4 choices A), B), C) and D) for its answer, out of which ONE OR MORE is/are correct.
Marking scheme: +4 for correct answer, 0 if not attempted and -2 in all other cases.
Paragraph for Question Nos. 17 to 18
A particle of mass m 2 carrying a charge Q 2 is fixed on the surface of Earth.
Another particle, mass m1 and charge Q1 , is positioned right above the first one
at an altitude h R, with R the radius of the Earth. The charge Q1 and Q 2 have
the same sign. Based on the above facts, answer the following questions:
b
d
x
A
L
Based on the above facts and the figure provided, answer the following
questions:
19. The dimensional formula for is
A) M2T1A B) M 0 L2TA C) M 0 L1TA D) M 0 L2T1A
L
20. The electric potential at A, for d is given by
4
L
A) L log e 5
B) L loge 5
4 0 4 4 0
C) L log e 5 D) 1 log e 5
4 0 4 0
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CHEMISTRY Max Marks : 80
SECTION – I
(INTEGER ANSWER TYPE )
This section contains 8 questions. The answer is a single digit integer ranging from 0 to 9 (both inclusive).
Marking scheme +4 for correct answer , 0 if not attempted and 0 in all other cases.
21. How many of the following can react with bases?
Cl 2 , Br2 ,I 2 , Cl2O, ClO 2 , Cl 2O 6 , Cl 2O 7 , BeO, Na 2O, CaO
22. Consider the following list of compounds
CuSO 4 , O3 KOH, H 2O2 H 2SO 4 , excess of Cl2 H 2O , 1 mole of
Cl 2 , excess of conc. HNO3 , excess of O3 H 2O, conc. H 2SO 4 and Na 2S2O3
the total no. of reagents that can oxidize iodide to iodine is ……….
23. In ClF3 molecule stable structure has
no. of l.p – l.p repulsions = x
no. of l.p – b.p repulsions = y
no. of b.p – b.p repulsions = z
Then x + y + z is
573 K U
24. Cl 2 F2 excess A B C inter halogen compound
The total no. of l.p’s in A is x
The total no. of l.p’s in B is y
The total no. of l.p’s in C is z
x + y – z = 15 + b. Then ‘b’ is ………..
437K
25. I) Cl 2 F2equal volume A II) I 2 Cl 2 excess B
III) Br2 F2 diluted with water C IV) I 2 Cl 2 equi molar D
573 K
V) Br2 F2 excess E V) Cl 2 F2 excess F
Select the no. of correct statement(s) about products is ……..
I) B in monomeric form shows T shape and dimeric form shows sq. planar
II) E is colourless liquid and shows square pyramidal structure
III) C and F shows same atomicity and no. of lone pairs
IV) Compound D exist in and forms
V) A to F compounds hydrolysed reactions are non-redox reactions
VI) B in monomeric form is a polar molecule and in dimeric form is a non-polar molecule
D) I 2 6H 2O 5Cl2
2HICl 4 10 HCl
SECTION – III
(PARAGRAPH TYPE)
This section contains 2 groups of questions. Each group has 2 multiple choice questions based on a paragraph.
Each question has 4 choices A), B), C) and D) for its answer, out of which ONE OR MORE is/are correct.
Marking scheme: +4 for correct answer, 0 if not attempted and -2 in all other cases.
Paragraph for Question Nos. 37 to 38
Bleaching powder and bleach solution are produced on a large scale and used in
several house hold production. The effectiveness of bleach solution is often
measured by iodometry.
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37. 25 ml of household bleach solution was mixed with 30 mL of 0.50 M KI and
10 mL of 4 N acetic acid. In the titration of the liberated I2 , 48 mL of 0.25 N
Na 2S2O3 was used to reach the end point. The molarity of the household bleach
solution is
A) 0.48 M B) 0.96 M C) 0.24 M D) 0.34 M
38. Bleaching powder contains a salt of an oxoacid as one of its components. The
anhydride of that oxoacid is
A) Cl2O B) Cl2O 7 C) ClO 2 D) Cl2O8
Paragraph for Question Nos. 39 to 40
1.
2.
39. In the first diagram, Select the incorrect statement
A) H (fusion) and ΔH (vapour) values are equal to zero for F2 / Cl2
B) Cl2 Br2 F2 I 2 order of heat of dissociation
C) The algebraic sum of H values in the above process Fluorine shows highest
H value (only numarical)
D) Order of heat of hydration is F Cl Br I
40. In the 2nd diagram, select the correct statement is
A) HF > HCl > HBr < HI (order of heat of dehydration and dissociation)
B) F > Cl > Br > I (order of electron gain enthalpy)
C) X-hydration is less than that of H+ hydration
D) HF > HCl < HBr < HI (order of H total)
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MATHS
Max Marks : 80
SECTION – I
(INTEGER ANSWER TYPE )
This section contains 8 questions. The answer is a single digit integer ranging from 0 to 9 (both inclusive).
Marking scheme +4 for correct answer , 0 if not attempted and 0 in all other cases.
2 2
x y
41. A transversal cut the same branch of a hyperbola 1 in P , P ' and the
2
a b2
asymptotes in Q , Q ' then the value of PQ PQ ' P ' Q ' P ' Q is
x2 y 2
42 Tangents are drawn from any point on the hyperbola 1 to the circle
9 4
x 2 y 2 9. If the locus of the mid-point of the chord of contact is a
2 a2 b2 c2
a x2 y 2 bx 2 cy 2 then the value of
7873
x2 y2
43. If the angle between the asymptotes of hyperbola 1 is / 3 then the
a2 b2
eccentricity of conjugate hyperbola is
44. If distance between two parallel tangents having slope’ m’ drawn to the hyperbola
x2 y 2
1 is 2 then the value of 2 m is
9 49
x2 y2
45. The equation 1 represents a hyperbola when a b, then
9 4
b a
b a ....... where . denotes greatest integer function
46. A chord of the rectangular hyperbola xy =16 intersects the hyperbola at P,Q
and x-axis ,y-axis at R and S respectively and ‘O’ be the centre of the hyperbola.
4S1S2
If the area of OPS is S1 and the area of QOR is S 2 then the value of
S12 S22
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x2 y2 x2 y2 1
47 If the foci of the ellipse 1 and the hyperbola coincide ,
25 b 2 144 81 25
then b =
48 If two points P and Q on the hyperbola 9 x 2 5 y 2 1 whose centre is C be such
1 1
that CP is perpendicular to CQ. Then find
CP 2 CQ 2
SECTION – II
(MULTIPLE CORRECT ANSWER TYPE)
This section contains 8 multiple choice questions. Each question has 4 options (A), (B), (C) and (D) for its answer,
out of which ONE OR MORE than ONE option can be correct.
Marking scheme: +4 for correct answer, 0 if not attempted and -2 in all other cases.
2 2
49. For the curve 7 x 2 y 12 xy 2 x 14 y 22 0 , which of the following is true ?
A) An ellipse
B) A hyperbola with eccentricity 3
C) A hyperbola with focus (1, 2)
D) A hyperbola with directrix 2 x y 1 0
50 If in rectangular hyperbola normal at any point ‘P’ meet the axes in ‘G’ and ‘g’ and
C be cantre of hyperbola then
A) PG = Pg B) PG = PC C) Pg = PC D) None
51 If acute angle between the two asymptotes of hyperbola is / 6 then eccentricity
of hyperbola can be
2 4
A) B) 2 C) D) 4
3 3
52. If the normal’s at xi , yi , i 1,2,3,4 to the rectangular hyperbola xy 2 meet at
the point 3,4 then
4
A) x1 x2 x3 x4 3 B) yi 4
i 1
C) x1 x2 x3 x4 4 D) None
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y2 2
53. Two tangents can be drawn to the different branches of hyperbola x 1
4
from the point , 2 if
A) 2,0 B) 0,2 C) , 2 D) 2,
54. If the ellipse x 2 k 2 y 2 k 2a 2 confocal with hyperbola x 2 y 2 a 2 then
1
A) ratio of eccentricities of ellipse and hyperbola is
3
B) ratio of major axis of ellipse and transverse axis of hyperbola is 3
C) the ellipse and hyperbola cuts eath other orthogonally
1
D) Ratio of length of latusrectum of ellipse and hyperbola is
3
x2 y2
55. If a sec , b tan and a sec , b tan are the ends of a focal chord of 1
a2 b2
then Tan Tan
2 2
e 1 1 e 1 e e 1
A) B) C) D)
e 1 1 e 1 e e 1
x2 y2
56. If 2 x y 1 0 is tangent to the hyperbola 1 then which of the following
2 16
a
cannot be sides of a right angled triangle?
A) 2a, 4 , 1 B) 2a , 8, 1 C) a, 4, 1 D) a, 4, 2
SECTION – III
(PARAGRAPH TYPE)
This section contains 2 groups of questions. Each group has 2 multiple choice questions based on a paragraph.
Each question has 4 choices A), B), C) and D) for its answer, out of which ONE OR MORE is/are correct.
Marking scheme: +4 for correct answer, 0 if not attempted and -2 in all other cases.
Paragraph for Question Nos. 57 to 58
A) x 2 4 y B) x 2 16 y C) x 2 12 y D) y 2 8 x
60. If the tangent of the curve ‘C’ cuts the coordinate axis at A and B, then the locus
of the middle point of AB is
A) x 2 4 y B) x 2 2 y C) x 2 2 y 0 D) x 2 4 y 0