GATE PH 2023 Paper 1 — page 15

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

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)?

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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)

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2023 · Paper 1

Question 43

Question 44

Question 45