JEE Main 2018 Physics Question Paper Set 2 With Solution

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Category: IIT-JEE 2018 Physics Paper 2

Question 1:

A particle of mass ݉m is initially at rest at the origin. It is subjected to a force and starts moving along the x-axis. Its kinetic energy K changes with time as ݀dK / dt = yt, where y is a positive constant of appropriate dimensions. Which of the following statements is (are) true?

(A)	The force applied on the particle is constant
(B)	The speed of the particle is proportional to time
(C)	The distance of the particle from the origin increases linearly with time
(D)	The force is conservative

Correct Answer : A,B and D

Category: IIT-JEE 2018 Physics Paper 2

Question 2:

An infinitely long thin non-conducting wire is parallel to the z-axis and carries a uniform line charge density

λ

.It pierces a thin non-conducting spherical shell of radius ܴ in such a way that the arc ܲܳPQ subtends an angle 120° at the centre ܱ0 of the spherical shell, as shown in the figure. The permittivity of free space is

\in_{0}

. Which of the following statements is (are) true?

(A)	The electric flux through the shell is $\sqrt{3} R λ / ε_{0}$
(B)	The z-component of the electric field is zero at all the points on the surface of the shell
(C)	The electric flux through the shell is $\sqrt{2} R λ / ε_{0}$
(D)	The electric field is normal to the surface of the shell at all points

Correct Answer : A and B

Category: IIT-JEE 2018 Physics Paper 2

Question 3:

A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length ݂

f

, as shown in the figure. Which of the figures shown in the four options qualitatively represent (s) the shape of the image of the bent wire? (These figures are not to scale.)

Correct Answer : B

Category: IIT-JEE 2018 Physics Paper 2

Question 4:

In a radioactive decay chain,

T_{90}^{232} h

nucleus decays to

P_{82}^{212} b

nucleus. Let ܰ

N_{a}

and

N_{β}

be the number of

α

and

β^{-}

particles, respectively, emitted in this decay process. Which of the following statements is (are) true?

(A)	$N_{a} = 5$	(B)	$N_{a} = 6$
(C)	$N_{β} = 2$	(D)	$N_{β} = 4$

Correct Answer : A and C

Category: IIT-JEE 2018 Physics Paper 2

Question 5:

In an experiment to measure the speed of sound by a resonating air column, a tuning fork of frequency 500 Hz is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resonances are heard at air columns of length 50.7 ܿ݉cm and 83.9 ܿ݉cm Which of the following statements is (are) true?

(A)	The speed of sound determined from this experiment is 332 $m s^{- 1}$
(B)	The end correction in this experiment is 0.9 ܿcm
(C)	The wavelength of the sound wave is 66.4 ܿcm
(D)	The resonance at 50.7 ܿ݉ corresponds to the fundamental harmonic

Correct Answer : C and A

Category: IIT-JEE 2018 Physics Paper 2

Question 6:

A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass ݉m=0.4 ݇݃ is at rest on this surface. An impulse of 1.0 ܰ N s is applied to the block at time t = 0 so that it starts moving along the x-axis with a velocity

v (t) = v_{0} e^{- t / τ}

, where

v_{0}

is a constant and

τ = 4 s

.The displacement of the block, in ݉݁metres, at t=

τ

__________. Take ݁

e^{- 1}

0.37.

Correct Answer : 6.30

Category: IIT-JEE 2018 Physics Paper 2

Question 7:

A ball is projected from the ground at an angle of 45° with the horizontal surface. It reaches a maximum height of 120 ݉m and returns to the ground. Upon hitting the ground for the first time, it loses half of its kinetic energy. Immediately after the bounce, the velocity of the ball makes an angle of 30° with the horizontal surface. The maximum height it reaches after the bounce, in ݉݁metres, is ___________.

Correct Answer : 30.00

Category: IIT-JEE 2018 Physics Paper 2

Question 8:

A particle, of mass

10^{- 3} k g

and charge 1.0 C,is initially at rest. At time

t = 0

, the particle comes under the influence of an electric field

\vec{E} (t) = E_{0} \sin ω t \hat{ι}

where

E_{0}

and

ω = 10^{3} r a d s^{- 1}

. Consider the effect of only the electrical force on the particle. Then the maximum speed, in ݉

m s^{- 1}

, attained by the particle at subsequent times is ____________.

Correct Answer : 2.00

Category: IIT-JEE 2018 Physics Paper 2

Question 9:

A moving coil galvanometer has 50 turns and each turn has an area

2 \times 10^{- 4} m^{2}

. The magnetic field produced by the magnet inside the galvanometer is 0.02 T ܶ. The torsional constant of the suspension wire is

10^{- 4} N m r a d^{- 1}

When a current flows through the galvanometer, a full scale deflection occurs if the coil rotates by 0.2 rad .݀ܽThe resistance of the coil of the galvanometer is 50

Ω

.This galvanometer is to be converted into an ammeter capable of measuring current in the range 0 - 1.0 A .For this purpose, a shunt resistance is to be added in parallel to the galvanometer. The value of this shunt resistance, in ohms ,is __________.

Correct Answer : 5.55/5.56

Category: IIT-JEE 2018 Physics Paper 2

Question 10:

One mole of a monatomic ideal gas undergoes an adiabatic expansion in which its volume becomes eight times its initial value. If the initial temperature of the gas is 100 k and the universal gas constant ܴ

R = 8.0 j m o l^{- 1} k^{- 1}

, the decrease in its internal energy, in joule ,݈݁ is__________.

Correct Answer : 900.00

Category: IIT-JEE 2018 Physics Paper 2

Question 11:

In a photoelectric experiment a parallel beam of monochromatic light with power of 200 W is incident on a perfectly absorbing cathode of work function 6.25 eV ܸ݁. The frequency of light is just above the threshold frequency so that the photoelectrons are emitted with negligible kinetic energy. Assume that the photoelectron emission efficiency is 100%. A potential difference of 500 ܸ is applied between the cathode and the anode. All the emitted electrons are incident normally on the anode and are absorbed. The anode experiences a force F=

n \times 10^{- 4} N

due to the impact of the electrons. The value of ݊ is __________. Mass of the electron

m_{e} = 9 \times 10^{- 31} k g a n d 1.0 e v = 1.6 \times 10^{- 19} j

Correct Answer : 24.00

Category: IIT-JEE 2018 Physics Paper 2

Question 12:

Consider a hydrogen-like ionized atom with atomic number Z ܼ with a single electron. In the emission spectrum of this atom, the photon emitted in the n=2 to n=1 transition has energy 74.8 ܸ݁eV higher than the photon emitted in the ݊n = 3 to n = 2 transition. The ionization energy of the hydrogen atom is 13.6 ܸ݁eV The value of ܼ Z is __________.

Correct Answer : 3.00

Category: IIT-JEE 2018 Physics Paper 2

Question 13:

The electric field ܧ is measured at a point P(0,0,d) generated due to various charge distributions and the dependence of ܧ on ݀ is found to be different for different charge distributions. List-I contains different relations between E and ݀. List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II.

	LIST–I		LIST–II
P.	E is independent of ݀ d	1.	A point charge Q at the origin
Q.	$E \infty \frac{1}{d}$	2.	A small dipole with point charges Q at (0,0,l) and -Q at (0,0,l). Take 2l << d
R.	$E \infty \frac{1}{d^{2}}$	3.	An infinite line charge coincident with the x-axis, with uniform linear charge density $λ$
S.	$E \infty \frac{1}{d^{3}}$	4.	Two infinite wires carrying uniform linear charge density parallel to the x -axis. The one along (y = 0, z = l) has a charge density $+ λ$ and the one along (y = 0, z = -l) has a charge density – $λ$ .Take 2݈l ≪ ݀d
		5.	Infinite plane charge coincident with the xy-plane with uniform surface charge density

(A)	$P \to 5; Q \to 3, 4; R \to 1; S \to 2$
(B)	$P \to 5; Q \to 3; R \to 1, 4; S \to 2$
(C)	$P \to 5; Q \to 3; R \to 1, 2; S \to 4$
(D)	$P \to 4; Q \to 2, 3; R \to 1; S \to 5$

Correct Answer : B

Category: IIT-JEE 2018 Physics Paper 2

Question 14:

A planet of mass M ,has two natural satellites with masses ݉

m_{1}

and ݉

m_{2}

. The radii of their circular orbits are

R_{1}

and

R_{2}

ܴ respectively. Ignore the gravitational force between the satellites. Define

v_{1}, L_{1}, K_{1} a n d T_{1}

to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and

v_{2}

L_{2}

K_{2}

and ܶ

T_{2}

to be the corresponding quantities of satellite 2. Given ݉

m_{1} / m_{2} = 2 a n d R_{1} / R_{2} = 1 / 4

, match the ratios in List-I to the numbers in List-II.

	LIST–I		LIST–II
P.	$\frac{v_{1}}{v_{2}}$	1.	$\frac{1}{8}$
Q.	$\frac{L_{1}}{L_{2}}$	2.	1
R.	$\frac{K_{1}}{K_{2}}$	3.	2
S.	$\frac{T_{1}}{T_{2}}$	4.	8

Correct Answer : B

Category: IIT-JEE 2018 Physics Paper 2

Question 15:

One mole of a monatomic ideal gas undergoes four thermodynamic processes as shown schematically in the PV-diagram below. Among these four processes, one is isobaric, one is isochoric, one is isothermal and one is adiabatic. Match the processes mentioned in List-1 with the corresponding statements in List-II.

	LIST–I		LIST–II
P.	In process I	1.	Work done by the gas is zero
Q.	In process II	2.	Temperature of the gas remains unchanged
R.	In process III	3.	No heat is exchanged between the gas and its surroundings
S.	In process IV	4.	Work done by the gas is $6 P_{0} V_{0}$

(A)	$P \to 4; Q \to 3; R \to 1; S \to 2$
(B)	$P \to 1; Q \to 3; R \to 2; S \to 4$
(C)	$P \to 3; Q \to 4; R \to 1; S \to 2$
(D)	$P \to 3; Q \to 4; R \to 2; S \to 1$

Correct Answer : C

Category: IIT-JEE 2018 Physics Paper 2

Question 16:

In the List-I below, four different paths of a particle are given as functions of time. In these functions,

a

and

β

are positive constants of appropriate dimensions and

α \neq β

.In each case, the force acting on the particle is either zero or conservative. In List-II, five physical quantities of the particle are mentioned:

\vec{p}

Ԧis the linear momentum,

\vec{L}

is the angular momentum about the origin, K is the kinetic energy, ܷ U is the potential energy and E is the total energy. Match each path in List-I with those quantities in List-II, which are conserved for that path.

	LIST–I		LIST–II
P.	$\vec{r} (t) = a t \hat{ι} + β t \hat{j}$	1.	$\vec{p}$
Q.	$\vec{r} (t) = a \cos ω t \hat{ι} + β \sin ω t \hat{j}$	2.	$\vec{L}$
R.	$\vec{r} (t) = a (\cos ω t \hat{ι} + β \sin ω t \hat{j})$	3.	K
S.	$\vec{r} (t) = a t \hat{ι} + \frac{β}{2} t^{2} \hat{j}$	4.	U
		5.	E

(A)	$P \to 1, 2, 3, 4, 5; Q \to 2, 5; R \to 2, 3, 4, 5; S \to 5$
(B)	$P \to 1, 2, 3, 4, 5; Q \to 3, 5; R \to 2, 3, 4, 5; S \to 2, 5$
(C)	$P \to 2, 3, 4; Q \to 5; R \to 1, 2, 4; S \to 2, 5$
(D)	$P \to 1, 2, 3, 4, 5; Q \to 2, 5; R \to 2, 3, 4, 5; S \to 2, 5$

Correct Answer : A

Category: IIT-JEE 2018 Physics Paper 2

Question 17:

Consider a thin square plate floating on a viscous liquid in a large tank. The height ݄ of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity

u_{o}

Which of the following statements is (are) true?

(A)	The resistive force of liquid on the plate is inversely proportional to h
(B)	The resistive force of liquid on the plate is independent of the area of the plate
(C)	The tangential (shear) stress on the floor of the tank increases with $u_{o}$
(D)	The tangential (shear) stress on the plate varies linearly with the viscosity $η$ of the liquid

Correct Answer : A,D and C

Category: IIT-JEE 2018 Physics Paper 2

Question 18:

A steel wire of diameter 0.5 mm ݉݉and Young’s modulus

2 \times 10^{11} N m^{- 2}

carries a load of mass M. The length of the wire with the load is 1.0 ݉m . A vernier scale with 10 divisions is attached to the end of this wire. Next to the steel wire is a reference wire to which a main scale, of least count 1.0 ݉݉, is attached. The 10 divisions of the vernier scale correspond to 9 divisions of the main scale. Initially, the zero of vernier scale coincides with the zero of main scale. If the load on the steel wire is increased by 1.2 ݇݃, the vernier scale division which coincides with a main scale division is __________. Take ݃

g = 10 m s^{- 2} a n d π = 3.2

Correct Answer : 3.00

JEE Main 2018 Physics Question Paper Set 2 With Solution

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