GATE PH purpose:exam-prep PYQs & Answers — Page 3

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Questions 21–30 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 3 of 65

Given

and

, the tensor product

Your answerChoose one option.

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Sketch of a two-dimensional vector field

is shown below. Here, length and arrow head of the arrows denote magnitude and direction of the vector field, respectively. Which of the following statements is correct for

Your answerChoose one option.

It is zero everywhere in the two-dimensional space.

Its magnitude is non-zero and its direction is out of the two-dimensional plane.

Its magnitude is non-zero and its direction is into the two-dimensional plane.

It points in opposite directions above and below the x-axis.

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Which one of the following is an allowed process?

Your answerChoose one option.

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Given

is the electromagnetic charge and

is the strangeness quantum number, identify the particle(s) for which

is satisfied.

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

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Schematic variation of the specific heat

of an ideal gas of diatomic molecules with temperature

is shown in the figure below. For rotational energy

and vibrational energy

of the molecule, which of the following options is/are correct? Here

is the Boltzmann constant.

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

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If the perturbation

is added to the Hamiltonian of a one-dimensional harmonic oscillator, the matrix element

is/are non-zero for which of the following states? Here, the eigenstates of the harmonic oscillator are denoted by

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

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For which of the following functions does the Laplacian vanish?

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

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A projectile of mass

is launched from the ground with the initial speed

at an angle

from the horizontal. Take the ground to be horizontal. Ignoring the drag, the magnitude of Hamilton’s action

for the particle from the beginning till it hits the ground is

. The value of

(rounded off to two decimal places) is ____

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Consider an electron in the energy eigenstate

of the hydrogen atom. Given that the radial probability distribution of the electron in such a state takes its maximum value at

, where

is the Bohr radius, and

is an integer. The value of

(in integer) is ____

The radial part of the wavefunction

is given by

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A dielectric sphere carries a uniform polarization

. The magnitude of the electric field at the center of the sphere is

. The value of

(rounded off to one decimal place) is ____

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GATE PH purpose:exam-prep PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30