JEE ADVANCED Question Paper-2017 Paper-1
Part-I : PHYSICS
SECTION 1 (Maximum Marks: 28)
• This section contains SEVEN questions
• Each question has FOUR options [A], [B], [C] and [D]. ONE OR MORE THAN ONE of these four options is(are) correct.
1. A flat plate is moving normal to its plane through a gas under the action of a constant force F. The gas is kept at a very low pressure. The speed of the plate v is much less than the average speed u of the gas molecules. Which of the following options is/are true?
(A) The pressure difference between the leading and trailing faces of the plate is proportional to uv
(B) The resistive force experienced by the plate is proportional to v
(C) The plate will continue to move with constant non-zero acceleration, at all times
(D) At a later time the external force F balances the resistive force
2. A block of mass M has a circular cut with a frictionless surface as shown. The block rests on the horizontal frictionless surface of a fixed table. Initially the right edge of the block is at x = 0, in a co-ordinate system fixed to the table. A point mass m is released from rest at the topmost point of the path as shown and it slides down. When the mass loses contact with the block, its position is x and the velocity is v. At that instant, which of the following options is/are correct?
(A) The position of the point mass m is : 
(B) The velocity of the point mass m is :
(C) The x component of displacement of the center of mass of the block M is : 
(D) The velocity of the block M is: 
3. A block M hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to a fixed rigid support at O. A transverse wave pulse (Pulse 1) of wavelength λ0 is produced at point O on the rope. The pulse takes time TOA to reach point A. If the wave pulse of wavelength λ0 is produced at point A (Pulse 2) without disturbing the position of M it takes time TAO to reach point O. Which of the following options is/are correct?
(A) The time TAO = TOA
(B) The velocity of the two pulses (Pulse 1 and Pulse 2) are the same at the midpoint of rope
(C) The wavelength of Pulse 1 becomes longer when it reaches point A
(D) The velocity of any pulse along the rope is independent of its frequency and wavelength
4. A human body has a surface area of approximately 1 m2. The normal body temperature is 10 K above the surrounding room temperature T0. Take the room temperature to be T0 = 300 K. For T0 = 300 K, the value of 
(where σ is the Stefan Boltzmann constant). Which of the following option is/are correct?
(A) The amount of energy radiated by the body in 1 second is close to 60 Joules
(B) If the surrounding temperature reduces by a small amount ∆T0 << T0, then to maintain the same body temperature the same (living) human being needs to radiate 
more energy per unit time
(C) Reducing the exposed surface area of the body (e.g. by curling up) allows humans to maintain the same body temperature while reducing the energy lost by radiation
(D) If the body temperature rises significantly then the peak in the spectrum of electromagnetic radiation emitted by the body would shift to longer wavelengths
5. A circular insulated copper wire loop is twisted to form two loops of area 𝐴 and 2A as shown in the figure. At the point of crossing the wires remain electrically insulated from each other. The entire loop lies in the plane (of the paper). A uniform magnetic field 
points into the plane of the paper. At t = 0, the loop starts rotating about the common diameter as axis with a constant angular velocity ω in the magnetic field. Which of the following option is/are correct?
(A) The emf induced in the loop is proportional to the sum of the areas of the two loops
(B) The amplitude of the maximum net emf induced due to both the loops is equal to the amplitude of maximum emf induced in the smaller loop alone
(C) The net emf induced due to both the loops is proportional to cos ωt
(D) The rate of change of the flux is maximum when the plane of the loops is perpendicular to plane of the paper
6. In the circuit shown, L = 1 μH, C = 1 μF and R = 1 kΩ. They are connected in series with an a.c. source V = V0 sin ωt as shown. Which of the following options is/are correct?
(A) The current will be in phase with the voltage if ω = 104 rad. s−1
(B) The frequency at which the current will be in phase with the voltage is independent of R
(C) At ω ~ 0 the current flowing through the circuit becomes nearly zero.
(D) At ω >> 106 rad.s−1, the circuit behaves like a capacitor
7. For an isosceles prism of angle A and refractive index μ, it is found that the angle of minimum deviation δm = A. Which of the following options is/are correct?
(A) For the angle of incidence i1 = A, the ray inside the prism is parallel to the base of the prism
(B) For t his prism, the refractive index μ and the angle of prism A are related as 
(C) At minimum deviation, the incident angle i1 and the refracting angle r1 at the first refracting surface are related by r1 = (i1/2)
(D) For this prism, the emergent ray at the second surface will be tangential to the surface when the angle of incidence at the first surface is 
SECTION-2 (Maximum Marks: 15)
• This section contains FIVE questions
• The answer to each question is a SINGLE DIGIT INTEGER ranging from 0 to 9, both inclusive.
8. A drop of liquid of radius R = 10−2 m having surface tension 
divides itself into K identical drops. In this process the total change in the surface energy ∆U = 10−3 If K = 10α then the value of α is
9. An electron in a hydrogen atom undergoes a transition from an orbit with quantum number ni to another with quantum number nf. Vi and Vf are respectively the initial and final potential energies of the electron. If 
then the smallest possible nf is
10. A monochromatic light is travelling in a medium of refractive index n = 1.6. It enters a stack of glass layers from the bottom side at an angle θ= 30°. The interfaces of the glass layers are parallel to each other. The refractive indices of different glass layers are monotonically decreasing as nm = n – m∆n, where nm is the refractive index of the mth slab and ∆n = 0.1(see the figure). The ray is refracted out parallel to the interface between the (m – 1)th and mth slabs from the right side of t he stack. What is the value of m?
11. A stationary source emits sound of frequency f0 = 492 Hz. The sound is reflected by a large car approaching the source with a speed of 2 ms−1. The reflected signal is received by the source and superposed with the original. What will be the beat frequency of the resulting signal in Hz? (Given that the speed of sound in air is 330 ms−1 and the car reflects the sound at the frequency it has received).
12. 131I is an isotope of Iodine that β decays to an isotope of Xenon with a half-life of 8 days. A small amount of a serum labelled with 131I is injected into the blood of a person. The activity of the amount of 131I injected was 2.4 × 105 Becquerel (Bq). It is known that the injected serum will get distributed uniformly in the blood stream in less than half an hour. After 11.5 hours, 2.5 ml of blood is drawn from the person’s body, and gives an activity of 115 Bq. The total volume of blood in the person’s body, in liters is approximately (you may use ex ≈ 1 + x for |x| << 1 and ln 2 ≈ 0.7).
Section-3
• This section contains SIX questions of matching type
• This section contains TWO tables (each having 3 columns and 4 rows)
• Based on each table, there are THREE questions
• Each question has FOUR options [A], [B], [C], and [D]. ONLY ONE of these four options is correct
Answer Q.13, Q.14 and Q.15 by appropriately matching the information given in the three columns of the following table.
13. In which case will the particle move in a straight line with constant velocity?
(A) (III) (ii) (R)
(B) (IV) (i) (S)
(C) (III) (iii) (P)
(D) (II) (iii) (S)
14. In which case will the particle describe a helical path with axis along the positive z direction?
(A) (IV) (i) (S)
(B) (II) (ii) (R)
(C) (III) (iii) (P)
(D) (IV) (ii) (R)
15. In which case would the particle move in a straight line along the negative direction of y-axis 
(A) (II) (iii) (Q)
(B) (III) (ii) (R)
(C) (IV) (ii) (S)
(D) (III) (ii) (P)
Answer Q.16, Q.17 and Q.18 by appropriately matching the information given in the three columns of the following table.
16. Which of the following options is the only correct representation of a process in which ∆U = ∆Q – P∆V
(A) (II) (iv) (R)
(B) (III) (iii) (P)
(C) (II) (iii) (S)
(D) (II) (iii) (P)
17. Which one of the following options is the correct combination?
(A) (IV) (ii) (S)
(B) (III) (ii) (S)
(C) (II) (iv) (P)
(D) (II) (iv) (R)
18. Which one of the following options correctly represents a thermodynamic process that is used as a correction in the determination of the speed of sound in an ideal gas?
(A) (I) (ii) (Q)
(B) (IV) (ii) (R)
(C) (III) (iv) (R)
(D) (I) (iv) (Q)
Latest Govt Job & Exam Updates: