GATE PH topic:physics PYQs & Answers — Page 58

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Questions 571–580 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 58 of 65

4 MeV

-rays emitted by the de-excitation of

are attributed, assuming spherical symmetry, to the transition of protons from

state to

state. If the contribution of spin-orbit term to the total energy is written as

, the magnitude of C is ______ MeV (up to one decimal place).

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particle is emitted by a

nucleus. Assuming the potential to be purely Coulomb beyond the point of separation, the height of the Coulomb barrier is ______ MeV (up to two decimal places).

(

)

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For the transformation

(where

is a constant) to be canonical, the value of

is ______.

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Given

and boundary conditions

and

, the value of

is ______ (up to two decimal places).

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The absolute value of the integral

over the circle

in complex plane, is ______ (up to two decimal places).

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A uniform circular disc of mass

and radius

is rotating with angular speed

about an axis passing through its center and making an angle

with the axis of the disc. If the kinetic energy of the disc is

, the value of

is ______ (up to 2 decimal places).

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The ground state energy of a particle of mass

in an infinite potential well is

. It changes to

, when there is a small potential bump of height

and width

, as shown in the figure.

The value of

is ______ (up to two decimal places).

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An electromagnetic plane wave is propagating with an intensity

in a medium with

and

. The amplitude of the electric field inside the medium is ______

(up to one decimal place).

(

)

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A microcanonical ensemble consists of 12 atoms with each taking either energy 0 state, or energy

state. Both states are non-degenerate. If the total energy of this ensemble is

, its entropy will be ______

(up to one decimal place), where

is the Boltzmann constant.

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A two-state quantum system has energy eigenvalues

corresponding to the normalized states

. At time

, the system is in quantum state

. The probability that the system will be in the same state at

is ______ (up to two decimal places).

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GATE PH topic:physics PYQs

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