Copyright Wiley India Not to be produced in any manner without the expressed permission of the Publisher Mock Test for JEE Advanced: Physics Paper–I Maximum marks: Time allowed: 1 hr Instructions: The paper has three sections: Section –I, Section–II and Section–III. 1. Section–I contains 10 single correct answer type objective questions. Each question has 4 choices (A), (B), (C) and (D), out of which only one is correct. 2. Section–II contains 5 multiple (one or more) correct answer choice type questions. Each question has 4 choices (A), (B), (C) and (D), out of which One or More may be correct. 3. Section–III contains 5 integer (subjective) type questions. Each question has an integer answer lying betwee n 0 and 9. SECTION - I SINGLE CORRECT ANSWER TYPE This part contains 10 multiple choice questions with single correct answer. Each question has 4 choices A, B, C & D, out of which Only One is Correct.1. The diagram shows a concavo-convex lens of refractive index 2 . What is the condition on the refractive indices 1 3 and so that the lens is diverging? (A) 3 1 2 2 (B) 3 1 2 2 (C) 3 1 2 2 (D) 3 1 2 Paragraph for Question 2 A Young’s double slit experimentis performed in a medium of refractive index 4/3. A light of 600 nm wavelength is falling on the slits having 0.45 nm separation. The lower slit S 2 is covered by a thin glass plate of thickness 10 4 μm . and r efractive index 1.5. The interference pattern is observed on a screen placed 1.5 m from the slits as shown in the figure. (All the wavelengths in this problem are for the given medium of refractive index 4/3, ignore absorption.)2.Find the light intensity at point O relative to maximum fringe intensity. O S 1 S 2 S y R 2R
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Mock Test for JEE Advanced: Physics
Paper – I
Maximum marks: Time allowed: 1 hrInstructions: The paper has three sections: Section – I, Section – II and Section – III.
1. Section – I contains 10 single correct answer type objective questions. Each question has 4 choices (A),(B), (C) and (D), out of which only one is correct.
2. Section – II contains 5 multiple (one or more) correct answer choice type questions. Each question has4 choices (A), (B), (C) and (D), out of which One or More may be correct.3. Section – III contains 5 integer (subjective) type questions. Each question has an integer answer lying
between 0 and 9.
SECTION - I
SINGLE CORRECT ANSWER TYPE
This part contains 10 multiple choice questions with single correct answer. Each question has 4 choices
A, B, C & D, out of which Only One is Correct.
1. The diagram shows a concavo-convex lens of refractive index2
. What is the condition on the
refractive indices 1 3and so that the lens is diverging?
(A) 3 1 22 (B) 3 1 22
(C) 3 1 22 (D) 3 1 2
Paragraph for Question 2
A Young’s double slit experiment is performed in a
medium of refractive index 4/3. A light of 600 nm
wavelength is falling on the slits having 0.45 nm
separation. The lower slit S2 is covered by a thin glass
plate of thickness 10 4μm. and refractive index 1.5.
The interference pattern is observed on a screen
placed 1.5 m from the slits as shown in the figure. (All
the wavelengths in this problem are for the given
medium of refractive index 4/3, ignore absorption.)
2. Find the light intensity at point O relative to maximum fringe intensity.
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12. In the diagram shown, a light ray is incident on the lower medium boundary at an angle of 45
with the normal. Which of the following statements is (are) true?
(A) If 2 2 , then angle of deviation is 45
(B) If 2 2 , then angle of deviation is 90
(C) If 2 2 , then angle of deviation is 135
(D) If 2 2 , then angle of deviation is 0
13. A transparent slab of thickness t and refractive index is inserted in front of upper slit of
Young’s double slit experiment apparatus. The wavelength of light used is . Assume that there
is no absorption of light by the slab. Mark the correct statement(s).
(A) The intensity of dark fringes will be 0, if slits are identical.
(B) The change in optical path due to insertion of plate is t .
(C) The change in optical path due to insertion of plate is ( –1)t
(D) For making intensity zero at centre of screen, the thickness can be
5
2( 1)
14. A driver in a stationary car blows a horn which produces monochromatic sound waves of
frequency 1000 Hz normally towards a reflecting wall. The wall approaches the car with speed of
3.3 m/s. Speed of sound is 340 m/s.
(A) The frequency of sound reflected from wall and heard by the driver is 1020 Hz.
(B) The frequency of sound reflected from wall and heard by the driver is 980 Hz.
(C) The percentage increase in frequency of sound after reflection from wall is 2%
(D) The percentage decrease in frequency of sound after reflection from wall is 2%
15. A spring of spring constant k stores 5 J of energy when stretched by 25 cm. It is kept vertical with
one end fixed. A mass m is attached to the other end. It makes 5 oscillations per second. Then(A) m = 0.16 kg (B) m = 0.32 kg (C) k = 160 N/m (D) k = 320 N/m
SECTION - III
INTEGER (SUBJECTIVE) TYPE
This section contains 5 integer (subjective) type questions. Each question has an integer answer
between 0 and 9.
16. A cylindrical tube of length 6.93 cm and inner and outer radii of 2.5 cm and 5 cm respectively
are covered with two identical hemispherical lids of same inner and outer radii. The materials of
lids and the tube is same of thermal conductivity of 0.5 cal/s-mK. An
energy source radiating 1256 cal/s is placed inside. The steady state
inside temperature is 10 in C and surrounding temperature is 30 C .
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17. Two wires are made of the same material and have the same volume. However, wire 1 has cross-
sectional area A and wire 2 has cross-sectional area 3 A. If the length of wire 1 increases by Δ x on
applying force F and force nF is needed to stretch wire 2 by the same amount, find n.
18. The reading of a spring balance when a block is suspended from it in air is 60 N. This reading is
changed to 40 N when the block is submerged in water. Find the specific gravity of the block.
19. Two coils, 1 and 2 have a mutual inductance M = 5 H and resistance R = 10Ω each. A current
flows in coil 1, which varies with time as:
21 2 I t ,
where t is time. Find the total charge (in C) that has flown through coil 2 between t = 0 s and t =
2 s.
20. A solid sphere of radius R has a charge Q distributed in its volume with a charge density a
kr ,
where k and a are positive constants and r is the distance from its center. If the electric field at r
= R/2 is 1/8 times that at r = R, find the value of a.
Mock Test for JEE Advanced: Physics
Paper – II
Maximum marks: Time allowed: 1 Hr
Instructions: The paper has three sections: Section – I, Section – II and Section – III.1. Section – I contains 8 single correct answer type objective questions. Each question has 4 choices (A),
(B), (C) and (D), out of which only one is correct.2. Section – II contains 6 multiple (one or more) correct answer choice type questions. Each question has
4 choices (A), (B), (C) and (D), out of which One or More may be correct.3. Section – III contains 6 multiple choice questions based on a paragraph. Each question has 4 choices
(A), (B), (C) and (D), out of which only one is correct.
SECTION - I
SINGLE CORRECT ANSWERS TYPE
This part contains 8 multiple choice questions with single correct answer. Each question has 4 choices A,
B, C & D, out of which Only One is Correct.
1. A glass sphere of radius R = 10 cm is kept inside water. A point object O is placed at 20 cm from
A as shown in the figure. Find the position and nature of the image (from B) when seen from
other side of the sphere. Given g w3 / 2 and 4 / 3 .
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(A) Work done by 1 F is 120 J
(B) Work done by 2 F is 180 J
(C) Work done by 3 F is 45 J
(D) 1 F is conservative in nature
10. A ball ‘A’ collides elastically with an identical ball B with velocity 10 m/s at an angle of 30° from the
line joining their centers C1 and C2. Select the correct alternative(s):
(A) velocity of ball A after collision is 5m/ s
(B) velocity of ball B after collision is 5 3 m/s(C) both the balls move at right angles after collision(D) kinetic energy will not be conserved here, because collision is not head on
11. For two satellite at distance R and 7 R above the earth’s surface, the ratio of their:
(A) total energies is 4 and potential and kinetic energies is 2
(B) potential energies 4
(C) kinetic energies 4
(D) total energies is 4
12. White light is used to illuminate the two slits in a Young ’s double slit experiment. The separation
between the slits is b and the screen is at a distance d (> b) from the slits. At a point on the screen directlyin front of one of the slits, certain wavelengths are missing. Some of these missing wavelengths are:
(A)2b
d
(B)
22b
d
(C)2
3
b
d
(D)22
3
b
d
13. Water flows in a river with a speed of 9 km/hr at the surface of a 3 m deep flow. The coefficient ofviscosity is 10 – 3 N. sec.m – 2. Then:
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(A) The viscous force is 10 N (B) The velocity gradient of flow is 0.83 s – 1
(C) Shearing stress is 83 × 10 – 5 N/m2 (D) Normal pressure is 83 N/m2
14. An ideal gas is taken from the state A (pressure, P volume V ) to the state B (pressure P /2, volume 2V )
along a straight line path in the P – V diagram. Select the correct statement(s) from the following:
(A) The work done by the gas in the process A to B exceeds the work that would be done by it if thesystem were taken from A to B along the isotherm
(B) In the T – V diagram, the path AB becomes a part of a parabola
(C) In the P – T diagram the path AB becomes a part of a parabola
(D) In going from A to B, the temperature T of the gas first increases to a maximum value and thendecreases
SECTION - III
COMPREHENSION TYPE
This section contains 2 groups of questions. Each group has 3 multiple choice questions based on a
paragraph. Each question has 4 choices (A), (B) , (C) and (D) for its answer, out of which ONLY ONE is
correct.
Passage for Questions Nos. 15 To 17
A cylindrical gas vessel is thermally insulated on all sides except for face ‘A’ which is perfectly
conducting. The vessel is immersed inside a ‘liquid bath’ maintained at a uniform temperature ‘T o’ Inside the cylinder it is divided into two chambers ‘A’ and ‘B’ by a smooth, non-conducting piston which
is attached to face ‘A’ by means of a spring of force constant ‘k 0’. Initially monoatomic gas is filled ineach chamber such that the piston is in equilibrium at a mid-position of the cylinder and the spring is in arelaxed state. The pressure, volume and temperature of gas in each of the chambers is recorded to be P 0,
V 0 and T 0 respectively.
Now, the gas in the chamber ‘B’ is gradually heated till the spring is compressed by an amount 0
4
l
, where0l is half the length of the full cylinder. The heating is discontinued at the instant the piston
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(B)2
0 0
32
k l
(C)2
0 00 0
4log
32 3e
k l P V
(D) Zero
Passage for Questions Nos. 18 to 20
All energies in this question are expressed in MeV (million electron volts) One MeV = 1.6 × 10 – 13 J, but it
is not necessary to know this to solve the problem. The mass M of an atomic nucleus with Z protons and N neutrons (i.e. the mass number A = N + Z ) is equal to sum of masses of the free constituent nucleons(protons and neutrons) minus the binding energy B/c2.
2 2 2 p n Mc Zm c Nm c B
The graph shown below plots the value of B/ A for a given value of A, vs. A. The greater the value of B/ A,
the more stable is the nucleus.
18. The energy released when two nuclei, each of mass number A = 15 are fused to form a heavier
nucleus of mass number A = 30, is
(A) 30 MeV (B) 24 MeV (C) 16 MeV (D) 8 MeV
19. Assume the part of the curve from A = 100 onwards to be a straight line. From the given data, for A 100 the equation of B/ A versus A is (choose the most appropriate option)
