GATE PH year:2025 PYQs & Answers — Page 5

Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

particle is scattered from an Au target at rest as shown in the figure.

and

are the detectors to detect the scattered

particle at an angle

and along the beam direction, respectively, as shown. The signals from

and

are converted to logic signals and fed to logic gates. When a particle is detected, the signal is 1 and is 0 otherwise. Which one of the following circuits detects the particle scattered at the angle

only?

Your answerChoose one option.

Diagram for Physics question 41 (figure 2)

Diagram for Physics question 41 (figure 3)

Diagram for Physics question 41 (figure 4)

Diagram for Physics question 41 (figure 5)

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Consider a two-level system with energy states

and

. The number of particles at

level is

and the number of particles at

level is

. The total energy of the system is

and the total number of particles is

. In the thermodynamic limit, the inverse of the absolute temperature of the system is (Given:

)

Your answerChoose one option.

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Let

and

denote the energy eigenstates of a one-dimensional simple harmonic oscillator. The position and momentum operators are

and

, respectively. The matrix element

is non-zero when

Your answerChoose one option.

only

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A two-level quantum system has energy eigenvalues

and

. A perturbing potential

is introduced, where

is a constant having dimensions of energy,

is a small dimensionless parameter, and

. The magnitudes of the first and the second order corrections to

due to

, respectively, are

Your answerChoose one option.

and

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An electron with mass

and charge

is in the spin up state

at time

. A constant magnetic field is applied along the

-axis,

, where

is a constant. The Hamiltonian of the system is

, where

and

. The minimum time after which the electron will be in the spin down state along the

-axis, i.e.,

, is

Your answerChoose one option.

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A system of three non-identical spin

particles has the Hamiltonian

, where

and

are the spin operators of particles labelled 1, 2 and 3 respectively and

is a constant with appropriate dimensions. The set of possible energy eigenvalues of the system is

Your answerChoose one option.

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Which of the following option(s) is/are correct for a Type I superconductor?

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

The phase transition to the normal state in the absence of a magnetic field is of second order

With increase in temperature, the critical magnetic field decreases linearly to zero

Below the critical temperature, the entropy in the superconducting state is less than that in the normal state

The phase transition to the normal state in the presence of a magnetic field is of first order

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Consider two hypothetical nuclei

and

undergoing

decay, resulting in nuclei

and

, respectively. The decay scheme and the corresponding

values of the nuclei are given in the figure. Which of the following option(s) is/are correct? (

is the total angular momentum and

is parity)

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

is Fermi transition and

is Fermi transition

is Fermi transition and

is Gamow-Teller transition

is Gamow-Teller transition and

is Fermi transition

is Gamow-Teller transition and

is Gamow-Teller transition

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A point charge

is placed at a distance

above an infinite, grounded conducting plate placed on the

plane at

. The electrostatic potential in

region is given by

, where

and

. Which of the following option(s) is/are correct?

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

The magnitude of the force experienced by the point charge

The electrostatic energy of the system is

The induced surface charge density on the plate is proportional to

The electrostatic potential

satisfies Poisson’s equation for

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In coordinates

, a contravariant second rank tensor

has non-zero diagonal components

and

, with all other components vanishing, and

being real constants. Here,

is time and

is space coordinate. Consider a Lorentz transformation

to another frame that moves with relative speed

in the

direction, so that

. If

and

are the diagonal components of

, then setting the speed of light

, and with

, which of the following option(s) is/are correct?

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

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GATE PH year:2025 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50