GATE PH kind:question PYQs & Answers — Page 24

Questions 231–240 of 650. Imported answers require independent review unless marked reviewed.

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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A symmetric top has principal moments of inertia

about a set of principal axes 1, 2, 3, respectively, passing through its center of mass, where

is a positive constant. There is no force acting on the body and the angular speed of the body about the 3-axis is

rad/s. With what angular frequency in rad/s does the angular velocity vector

precess about the 3-axis?

Your answerChoose one option.

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A particle of mass

is free to move on a frictionless horizontal two dimensional

plane, and is acted upon by a force

with

being a positive constant. If

and

are the generalised momenta corresponding to

and

respectively, then what is the value of

Your answerChoose one option.

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Consider two real functions

where

is a real constant and

are real coefficients. If

is analytic, then what is the value of

Your answerChoose one option.

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Young’s double slit experiment is performed using a beam of

(fullerene) molecules, each molecule being made up of 60 carbon atoms. When the slit separation is 50 nm, fringes are formed on a screen kept at a distance of 1 m from the slits. Now, the experiment is repeated with

molecules with a slit separation of 92.5 nm. The kinetic energies of both the beams are the same. The position of the

bright fringe for

will correspond to the

bright fringe for

. What is the value of

(rounded off to the nearest integer)?

Your answerChoose one option.

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A neutron beam with a wave vector

and an energy 20.4 meV diffracts from a crystal with an outgoing wave vector

. One of the diffraction peaks is observed for the reciprocal lattice vector

of magnitude

. What is the diffraction angle in degrees (rounded off to the nearest integer) that

makes with the plane? (Use mass of neutron =

Kg)

Your answerChoose one option.

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GATE PH kind:question PYQs

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45