Complete GATE PH 2019 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 28–30 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 10 of 22

Question 18

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PHNAT1 markNeeds review
The energy-vector (

-

) dispersion relation for a particle in two dimensions is

, where

is a constant. If its density of states

is proportional to

then the value of

is

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Question 19

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PHNAT1 markNeeds review
A circular loop made of a thin wire has radius 2 cm and resistance 2

. It is placed perpendicular to a uniform magnetic field of magnitude

Tesla. At time

the field starts decaying as

, where

s. The total charge that passes through a cross section of the wire during the decay is

. The value of

in

C (rounded off to two decimal places) is

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Question 20

Open question
PHNAT1 markNeeds review
The electric field of an electromagnetic wave in vacuum is given by

The wave is reflected from the

surface. If the pressure exerted on the surface is

, the value of

(rounded off to one decimal place) is

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