GATE PH format:mcq PYQs & Answers — Page 15

Questions 141–150 of 380. Imported answers require independent review unless marked reviewed.

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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In the first Brillouin zone of a rectangular lattice (lattice constants

Å and

Å), three incoming phonons with the same wave vector ⟨1.2 Å

, 0.6 Å

⟩ interact to give one phonon. Which one of the following is the CORRECT wave vector of the resulting phonon?

Your answerChoose one option.

⟨2.56 Å

, 0.23 Å

⟩

⟨3.60 Å

, 1.80 Å

⟩

⟨0.48 Å

, 0.23 Å

⟩

⟨3.60 Å

, −0.80 Å

⟩

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For a covalently bonded solid consisting of ions of mass

, the binding potential can be assumed to be given by

where

and

are positive constants. What is the Einstein frequency of the solid in Hz?

Your answerChoose one option.

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In a hadronic interaction,

s are produced with different momenta, and they immediately decay into two photons with an opening angle

between them. Assuming that all these decays occur in one plane, which one of the following figures depicts the behavior of

as a function of the

momentum

Your answerChoose one option.

Diagram for Physics question 48 (figure 2)

Diagram for Physics question 48 (figure 3)

Diagram for Physics question 48 (figure 4)

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A particle has wavefunction

where

is a normalization constant and

is a positive constant. In this state, which one of the following options represents the eigenvalues of

and

respectively?

Some values of

are:

Your answerChoose one option.

and

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The wavefunction of a particle in one dimension is given by

Here

and

are positive constants. If

is the corresponding momentum space wavefunction, which one of the following plots best represents

Your answerChoose one option.

Diagram for Physics question 50 (figure 2)

Diagram for Physics question 50 (figure 3)

Diagram for Physics question 50 (figure 4)

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Consider a particle in a two dimensional infinite square well potential of side

, with

and

. The wavefunction of the particle is zero only along the line

, apart from the boundaries of the well. If the energy of the particle in this state is

, what is the energy of the ground state?

Your answerChoose one option.

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GATE PH format:mcq PYQs

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51