GATE EE 2022 Paper 1 — page 18

Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 18 of 22

Let

. The value of

, where

is the volume enclosed by the unit cube defined by

, is

Your answerChoose one option.

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As shown in the figure below, two concentric conducting spherical shells, centered at

and having radii

and

are maintained at potentials such that the potential

and

. Assume that

depends only on

, where

is the radial distance. The expression for

in the region between

and

Your answerChoose one option.

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Let the probability density function of a random variable

be given as

The value of ‘a’ is ________.

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2022 · Paper 1