GATE PH exam:gate PYQs & Answers — Page 41

Questions 401–410 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 41 of 65

Which one of the following is a solution of

, for

real?

Your answerChoose one option.

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A real, invertible

matrix

has eigenvalues

and the corresponding eigenvectors are

respectively. Which one of the following is correct?

Your answerChoose one option.

, for

The eigenvalues of

and

are not related.

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A quantum particle is subjected to the potential

The ground state wave function of the particle is proportional to

Your answerChoose one option.

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Let

and

respectively denote the lowering and raising operators of a one-dimensional simple harmonic oscillator. Let

be the energy eigenstate of the simple harmonic oscillator. Given that

is also an eigenstate of

, the corresponding eigenvalue is

Your answerChoose one option.

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Which one of the following is a universal logic gate?

Your answerChoose one option.

AND

NOT

NAND

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Which one of the following is the correct binary equivalent of the hexadecimal F6C?

Your answerChoose one option.

0110 1111 1100

1111 0110 1100

1100 0110 1111

0110 1100 0111

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The total angular momentum

of the ground state of the

nucleus is

Your answerChoose one option.

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A particle

is produced in the process

via the strong interaction. If the quark content of the

, the quark content of

Your answerChoose one option.

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A medium (

) is semi-transparent to an electromagnetic wave when

Your answerChoose one option.

Conduction current

Displacement current

Conduction current

Displacement current

Conduction current

Displacement current

Both Conduction current and Displacement current are zero

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A particle is moving in a central force field given by

, where

is the unit vector pointing away from the center of the field. The potential energy of the particle is given by

Your answerChoose one option.

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GATE PH exam:gate PYQs

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10