GATE PH purpose:exam-prep PYQs & Answers — Page 45

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Questions 441–450 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 45 of 65

A free particle of mass

is located in a three-dimensional cubic potential well with impenetrable walls. The degeneracy of the fifth excited state of the particle is _____.

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Consider the circuit given in the figure. Let the forward voltage drop across each diode be 0.7 V. The current I (in mA) through the resistor is _____.

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Let

denote the 4-velocity of a relativistic particle whose square

. If

is the Levi-Civita tensor then the value of

is _____.

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Consider a simple cubic monoatomic Bravais lattice which has a basis with vectors

is the lattice parameter. The Bragg reflection is observed due to the change in the wave vector between the incident and the scattered beam as given by

, where

, and

are primitive reciprocal lattice vectors. For

and

, the geometrical structure factor is _____.

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A plane electromagnetic wave of wavelength

is incident on a circular loop of conducting wire. The loop radius is

(

). The angle (in degrees) made by the Poynting vector with the normal to the plane of the loop to generate a maximum induced electrical signal, is _____.

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An electron in a hydrogen atom is in the state

. Let

denote the y-component of the orbital angular momentum operator. If

, the value of

is _____.

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A sinusoidal voltage of the form

is applied across a parallel plate capacitor placed in vacuum. Ignoring the edge effects, the induced emf within the region between the capacitor plates can be expressed as a power series in

. The lowest non-vanishing exponent in

is _____.

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, for

, the value of

is _____.

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Let

The value of

is _____.

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Consider the Hamiltonian

where

and

is the time independent perturbation given by

where

. If the maximum energy eigenvalue of

is 3 eV corresponding to

eV, the value of

(rounded off to three decimal places) in eV is _____.

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GATE PH purpose:exam-prep PYQs

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