Physics
GATE PH purpose:exam-prep PYQs
Build your understanding with focused practice from past exam papers.
Questions 561–570 of 650. Imported answers require independent review unless marked reviewed.
Question 31
Open questionPHMCQ2 marksNeeds review
If
is the Hamiltonian for a free particle with mass
, the commutator
isYour answerChoose one option.
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Open questionPHMCQ2 marksNeeds review
A long straight wire, having radius
and resistance per unit length
, carries a current
. The magnitude and direction of the Poynting vector on the surface of the wire isYour answerChoose one option.
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Open questionPHMCQ2 marksNeeds review
Three particles are to be distributed in four non-degenerate energy levels. The possible number of ways of distribution: (i) for distinguishable particles, and (ii) for identical Bosons, respectively, is
Your answerChoose one option.
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Open questionPHMCQ2 marksNeeds review
The term symbol for the electronic ground state of oxygen atom is
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Open questionPHMCQ2 marksNeeds review
The energy dispersion for electrons in one dimensional lattice with lattice parameter
is given by
, where
and
are constants. The effective mass of the electron near the bottom of the band isYour answerChoose one option.
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Open questionPHMCQ2 marksNeeds review
Amongst electrical resistivity (
), thermal conductivity (
), specific heat (
), Young’s modulus (Y), and magnetic susceptibility (
), which quantities show a sharp change at the superconducting transition temperature?Your answerChoose one option.
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Open questionPHMCQ2 marksNeeds review
A quarter wave plate introduces a path difference of
between the two components of polarization parallel and perpendicular to the optic axis. An electromagnetic wave with
is incident normally on a quarter wave plate which has its optic axis making an angle
with the
-axis as shown. The emergent electromagnetic wave would be

Your answerChoose one option.
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Open questionPHNAT2 marksNeeds review
A p-doped semiconductor slab carries a current
mA in a magnetic field
T as shown. One measures
mV and
mV. The mobility of holes in the semiconductor is ________ m
V
s
(up to two decimal places).

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Open questionPHNAT2 marksNeeds review
An n-channel FET having Gate-Source switch-off voltage
is used to invert a 0–5 V square-wave signal as shown.

The maximum allowed value of R would be ______ kΩ (up to two decimal places).
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Open questionPHNAT2 marksNeeds review
Inside a large nucleus, a nucleon with mass 939 MeV c
has Fermi momentum 1.40 fm
at absolute zero temperature. Its velocity is Xc, where the value of X is ______ (up to two decimal places).(
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