GATE PH topic:applied-physics PYQs & Answers — Page 37

Questions 361–370 of 650. Imported answers require independent review unless marked reviewed.

The above combination of logic gates represents the operation

Your answerChoose one option.

NAND

AND

NOR

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In a semiconductor, the ratio of the effective mass of hole to electron is 2:11 and the ratio of average relaxation time for hole to electron is 1:2. The ratio of the mobility of the hole to electron is

Your answerChoose one option.

4:9

4:11

9:4

11:4

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Consider a spin

particle in the state

. The probability that a measurement finds the state with

Your answerChoose one option.

5/18

11/18

15/18

17/18

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An electromagnetic wave having electric field

is incident at

(normal incidence) on a square slab from vacuum (with refractive index

) as shown in the figure. The slab is composed of two different materials with refractive indices

and

. Assume that the permeability of each medium is the same. After passing through the slab for the first time, the electric field amplitude, in

, of the electromagnetic wave, which emerges from the slab in region 2, is closest to

Your answerChoose one option.

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Consider a point charge

of mass

suspended by a mass, inextensible string of length

in free space (permittivity

) as shown in the figure. It is placed at a height

(

) over an infinitely large, grounded conducting plane. The gravitational potential energy is assumed to be zero at the position of the conducting plane and is positive above the plane. If

represents the angular position and

its corresponding canonical momentum, then the correct Hamiltonian of the system is

Your answerChoose one option.

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Consider two concentric conducting spherical shells as shown in the figure. The inner shell has a radius

and carries a charge +Q. The outer shell has a radius

and carries a charge

. The empty space between them is half-filled by a hemispherical shell of a dielectric having permittivity

. The remaining space between the shells is filled with air having the permittivity

The electric field at a radial distance

from the center and between the shells (

) is

Your answerChoose one option.

everywhere

on the air side and

on the dielectric side

on the air side and

on the dielectric side

everywhere

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For the given sets of energy levels of nuclei X and Y whose mass numbers are odd and even, respectively, choose the best suited interpretation.

Your answerChoose one option.

Set I: Rotational band of X Set II: Vibrational band of Y

Set I: Rotational band of Y Set II: Vibrational band of X

Set I: Vibrational band of X Set II: Rotational band of Y

Set I: Vibrational band of Y Set II: Rotational band of X

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Consider a system of three distinguishable particles, each having spin

such that

with corresponding magnetic moments

. When the system is placed in an external magnetic field

pointing along the z-axis, the total energy of the system is

. Let

be the state where the first spin has

. The probability of having the state

and the mean magnetic moment (in the +z direction) of the system in state

are

Your answerChoose one option.

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Consider a particle in a one-dimensional infinite potential well with its walls at

and

. The system is perturbed as shown in the figure.

The first order correction to the energy eigenvalue is

Your answerChoose one option.

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Consider a state described by

, where

and

are respectively the second and fourth normalized harmonic oscillator wave functions and

is the angular frequency of the harmonic oscillator. The wave function

will be orthogonal to

at time

equal to

Your answerChoose one option.

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GATE PH topic:applied-physics PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35