GATE PH year:2025 PYQs & Answers — Page 3

Questions 21–30 of 65. Imported answers require independent review unless marked reviewed.

Consider the function

of a complex variable

. The residues of the function at

and

, respectively, are

Your answerChoose one option.

and

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Consider one mole of a monovalent metal at absolute zero temperature, obeying the free electron model. Its Fermi energy is

. The energy corresponding to the filling of

electrons, where

is the Avogadro number, is

. The value of

Your answerChoose one option.

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A paramagnetic material containing paramagnetic ions with total angular momentum

is kept at absolute temperature

. The ratio of the magnetic field required for 80% of the ions to be in the lowest energy state to that required for having 60% of the ions to be in the lowest energy state at the same temperature is

Your answerChoose one option.

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Which of the following option(s) is/are correct for the ground state of a hydrogen atom?

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

Linear Stark effect is zero

It has definite parity

Spin-orbit coupling is zero

Hyperfine splitting is zero

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

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

Its rest mass is zero, but its energy is non-zero

It carries non-zero linear momentum

It carries zero spin angular momentum

It has two linearly independent states of polarization

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A schematic Pressure-Temperature diagram of water is shown in the figure. Which of the following option(s) is/are correct?

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

Clausius-Clapeyron equation is valid across the melting curve and the vaporization curve

Melting curve has the highest slope

The critical point exists only for the vaporization curve

Clausius-Clapeyron equation is not valid across the melting curve and the vaporization curve

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Which of the following consideration(s) is/are shown that nuclear beta decay,

, has to be a three-body decay?

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

Continuous distribution of the electron energy

Spin of the final state

Mass of the electron

Mass of the proton

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Potential energy of two diatomic molecules P and Q of the same reduced mass is shown in the figure. According to this diagram, which of the following option(s) is/are correct?

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

The equilibrium inter-nuclear distance of Q is more than that of P

The total energy

separates bound and unbound states of the molecules

The lowest vibrational frequency of P is larger than that of Q

Dissociation energy of Q is more than that of P

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Nuclear radiation emitted from a

radioactive source is detected by a photomultiplier tube (PMT) coupled to a scintillator crystal. Which of the following option(s) is/are correct?

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

radiation from

will directly hit the photocathode of the PMT without interacting with the scintillator crystal and produce a signal

radiation from

source interacts with the scintillator crystal, producing

radiation, which will hit the photocathode of the PMT and produce a signal

A mu-metal shield is put all around the PMT to nullify the effect of external electric fields

A mu-metal shield is put all around the PMT to nullify the effect of external magnetic fields

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One mole of an ideal monatomic gas at absolute temperature

undergoes free expansion to double its original volume, so that the entropy change is

. An identical amount of the same gas at absolute temperature

undergoes isothermal expansion to double its original volume, so that the entropy change is

. The value of

(in integer) is ______

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GATE PH year:2025 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30