GATE PH 2023 Paper 1 — page 21

Questions 61–63 of 65. Imported answers require review unless explicitly marked reviewed.

Consider an electromagnetic wave propagating in the

-direction in vacuum, with the magnetic field given by

. If

, the average power passing through a circle of radius 1.0 m placed in the

plane is

(in Watts). Using

, what is the value of

(rounded off to one decimal place)?

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-particle is emitted from the decay of Americium (Am) at rest, i.e.,

. The rest masses of

and

are 224.544 GeV/

, 220.811 GeV/

and 3.728 GeV/

respectively. What is the kinetic energy (in MeV/

, rounded off to two decimal places) of the

-particle?

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Consider 6 identical, non-interacting, spin

atoms arranged on a crystal lattice at absolute temperature

. The

-component of the magnetic moment of each of these atoms can be

. If

and

are the probabilities of the net magnetic moment of the solid being

and

respectively, what is the value of

(in integer)?

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2023 · Paper 1