GATE PH 2025 Paper 1 — page 16

Questions 46–48 of 65. Imported answers require review unless explicitly marked reviewed.

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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2025 · Paper 1