Complete GATE PH 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 17 of 22

Question 39

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PHMCQ2 marksNeeds review
Consider a spherical galaxy of total mass

and radius

, having a uniform matter distribution. In this idealized situation, the orbital speed

of a star of mass

(

) as a function of the distance

from the galactic centre is best described by
(

is the universal gravitational constant)
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Question 40

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PHMCQ2 marksNeeds review
Consider the potential

defined as

where

and

are real constants of appropriate dimensions. According to the first Born approximation, the elastic scattering amplitude calculated with

for a (wave-vector) momentum transfer

and

, is proportional to
(Useful integral:

)
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Question 41

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PHMCQ2 marksNeeds review
As shown in the figure, inverse magnetic susceptibility

is plotted as a function of temperature

for three different materials in paramagnetic states.
Diagram for Physics question 41

(Curie temperature of ferromagnetic material

Néel temperature of antiferromagnetic material

)
Choose the correct statement from the following
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