Physics
GATE PH topic:physical-sciences PYQs
Build your understanding with focused practice from past exam papers.
Questions 141–150 of 650. Imported answers require independent review unless marked reviewed.
Question 11
Open questionPHMCQ1 markNeeds review
If
is the generating function of a canonical transformation from
to
, then which one of the following relations is correct?Your answerChoose one option.
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An unpolarized plane electromagnetic wave in a dielectric medium 1 is incident on a plane interface that separates medium 1 from another dielectric medium 2. Medium 1 and medium 2 have refractive indices
and
, respectively, with
. If the angle of incidence is
, which one of the following statements is true?Your answerChoose one option.
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The wavefunction of a particle in an infinite one-dimensional potential well at time
is
where
,
and
are the normalized ground state, the normalized first excited state and the normalized second excited state, respectively.
,
and
are the eigen-energies corresponding to
,
and
, respectively. The expectation value of energy of the particle in state
isYour answerChoose one option.
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If a thermodynamic system is adiabatically isolated and experiences a change in volume under an externally applied constant pressure, then the thermodynamic potential minimized at equilibrium is the
Your answerChoose one option.
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The mean distance between the two atoms of HD molecule is
, where H and D denote hydrogen and deuterium, respectively. The mass of the hydrogen atom is
. The energy difference between two lowest lying rotational states of HD in multiples of
isYour answerChoose one option.
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Crystal structures of two metals A and B are two-dimensional square lattices with same lattice constant
. Electrons in metals behave as free electrons. The Fermi surfaces corresponding to A and B are shown by solid circles in figures.

The electron concentrations in A and B are
and
, respectively. The value of
isYour answerChoose one option.
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Consider the induced nuclear fission reaction
where neutron momenta in both initial and final states are negligible. The ratio of the kinetic energies (KE) of the daughter nuclei,
is __________Your answerChoose one option.
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The symbols C, D,
and
shown in the figure denote capacitor, ideal diode, input voltage and output voltage, respectively.

Which one of the following output waveforms (
) is correct for the given input waveform (
)?Your answerChoose one option.
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Let
and
, respectively, denote number and kinetic energy of electrons produced in a nuclear beta decay. Which one of the following distributions is correct?Your answerChoose one option.
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An infinitely long cylinder of radius
carries a frozen-in magnetization
, where
is a constant and
is the distance from the axis of cylinder. The magnetic permeability of free space is
. There is no free current present anywhere. The magnetic flux density (
) inside the cylinder isYour answerChoose one option.
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