GATE PH 2019 Paper 1 — page 9

Questions 25–27 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 9 of 22

The nuclear spin and parity of

in its ground state is

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An infinitely long thin cylindrical shell has its axis coinciding with the

-axis. It carries a surface charge density

, where

is the polar angle and

is a constant. The magnitude of the electric field inside the cylinder is

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Consider a three-dimensional crystal of

inert gas atoms. The total energy is given by

, where

, and

is the nearest neighbor distance between two atoms. The two constants,

and

, have the dimensions of energy and length, respectively. The equilibrium separation between two nearest neighbor atoms in units of

(rounded off to two decimal places) is

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2019 · Paper 1