GATE PH topic:physical-sciences PYQs & Answers — Page 17

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topic:physical-sciences

Questions 161–170 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 17 of 65

The complex function

has ____.

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

a simple pole at

an essential singularity at

a residue equal to

a branch point at

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The minimum number of basic logic gates required to realize the Boolean expression

is ____ (in integer).

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The vapor pressure (P) of solid ammonia is given by

, while that of liquid ammonia is given by

, where

is the temperature in K. The temperature of the triple point of ammonia is ____ K (rounded off to two decimal places).

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The electric field in a region depends on the

and

coordinates as

where

is a constant. The flux of

through the surface of a sphere of radius

with its center at the origin is

, where the value of

is ____ (in integer).

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The Hamiltonian of a system of

particles in volume

at temperature

where

and

are positive constants. The ensemble average of the Hamiltonian is

, where

is the Boltzmann constant. The value of

is ____ (in integer).

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Binding energy and rest mass energy of a two-nucleon bound state are denoted by

and

, respectively, where

is the speed of light. The minimum energy of a photon required to dissociate the bound state is

Your answerChoose one option.

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The spin-orbit interaction in a hydrogen-like atom is given by the Hamiltonian

where

is a real constant. The splitting between levels

and

due to this interaction is

Your answerChoose one option.

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Consider the Lagrangian

. If

and

denote the generalized momenta conjugate to

and

, respectively, then the canonical equations of motion are

Your answerChoose one option.

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The X-ray diffraction pattern of a monatomic cubic crystal with rigid spherical atoms of radius 1.56 Å shows several Bragg reflections of which the reflection appearing at the lowest

value is from (111) plane. If the wavelength of X-ray used is 0.78 Å, the Bragg angle (in

, rounded off to one decimal place) corresponding to this reflection and the crystal structure, respectively, are

Your answerChoose one option.

and body centered cubic

and face centered cubic

and body centered cubic

and face centered cubic

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In a parallel plate capacitor, the plate at

is grounded and the plate at

is maintained at a potential

. The space between the two plates is filled with a linear dielectric of permittivity

, where

is the permittivity of free space. Neglecting the edge effects, the electric field (

) inside the capacitor is

Your answerChoose one option.

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GATE PH topic:physical-sciences PYQs

Question 31

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Question 36

Question 37

Question 38

Question 39

Question 40