GATE PH 2023 Paper 1 — page 19

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

Under parity and time reversal transformations, which of the following statements is(are) TRUE about the electric dipole moment

and the magnetic dipole moment

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

is odd under parity and

is odd under time reversal

is odd under parity and

is even under time reversal

is even under parity and

is odd under time reversal

is even under parity and

is even under time reversal

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Consider the complex function

, which of the following options is(are) CORRECT?

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

The order of the pole is 4

The order of the pole is 3

The residue at the pole is

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Consider the vector field

consisting of the velocities of points on a thin horizontal disc of radius

, moving anticlockwise with uniform angular speed

about an axis passing through its center. If

, then which of the following options is(are) CORRECT? (In the options,

and

are unit vectors corresponding to the plane polar coordinates

and

You may use the fact that in cylindrical coordinates

(

is the distance from the

-axis), the gradient, divergence, curl and Laplacian operators are:

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

, where

is a unit vector perpendicular to the

plane

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2023 · Paper 1