GATE PH year:2023 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

Consider an isolated magnetized sphere of radius

with a uniform magnetization

along the positive

direction, with the north and south poles of the sphere lying on the

axis. It is given that the magnetic field inside the sphere is

, where

is the permeability of vacuum. Which of the following statements is(are) CORRECT?

Your answerSelect all correct options. You can choose more than one.

The bound volume current density is zero

The bound surface current density has maximum magnitude at the equator, where this magnitude equals

The auxiliary field

Far from the sphere, the magnetic field is due to a dipole moment

, where

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Which of the following options represent(s) linearly independent pair(s) of functions of a real variable

Your answerSelect all correct options. You can choose more than one.

and

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In the vector model of angular momentum applied to atoms, what is the minimum angle in degrees (in integer) made by the orbital angular momentum vector and the positive

axis for a

electron?

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For a transistor amplifier, the frequency response is such that the mid band voltage gain is 200. The cutoff frequencies are 20 Hz and 20 kHz. What is the ratio (rounded off to two decimal places) of the voltage gain at 10 Hz to that at 100 kHz?

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An electric field as a function of radial coordinate

has the form

, where

is a constant. Assume that dimensions are appropriately taken care of. The electric flux through a sphere of radius

, centered at the origin, is

. What is the value of

(rounded off to two decimal places)?

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It is given that the electronic ground state of a diatomic molecule

has even parity and the nuclear spin of

is 0. Which one of the following is the CORRECT statement with regard to the rotational Raman spectrum (

is the rotational quantum number) of this molecule?

Your answerChoose one option.

Lines of all

values are present

Lines have alternating intensity in the ratio of 3:1

Lines of only even

values are present

Lines of only odd

values are present

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An input voltage in the form of a square wave of frequency 1 kHz is given to a circuit, which results in the output shown schematically below. Which one of the following options is the CORRECT representation of the circuit?

Your answerChoose one option.

Diagram for Physics question 37 (figure 2)

Diagram for Physics question 37 (figure 3)

Diagram for Physics question 37 (figure 4)

Diagram for Physics question 37 (figure 5)

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A simple harmonic oscillator with an angular frequency

is in thermal equilibrium with a reservoir at absolute temperature

, with

. Which one of the following is the partition function of the system?

Your answerChoose one option.

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Which one of the following options is the most appropriate match between the items given in Column 1 and Column 2?

Column 1	Column 2
(i) Visible light	P. Transition between core energy levels of atoms
(ii) X-rays	Q. Transition between nuclear energy levels
(iii) Gamma rays	R. Pair production
(iv) Thermal neutrons	S. Crystal structure determination
	T. Photoelectric effect

Your answerChoose one option.

(i) - T; (ii) - P,S,T; (iii) - Q,R; (iv) - S

(i) - P,T; (ii) - S; (iii) - R,S; (iv) - S,T

(i) - T; (ii) - R,S; (iii) - Q,R; (iv) - S

(i) - S,T; (ii) - P,S; (iii) - R,T; (iv) - S

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A rod

of proper length

lies along the

-axis and moves towards the positive

direction with speed

with respect to the ground (see figure), where

is the speed of light in vacuum. An observer on the ground measures the positions of

and

at different times

and

respectively in the ground frame, and finds the difference between them to be

. What is the value of

Your answerChoose one option.

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GATE PH year:2023 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40