GATE PH format:nat PYQs & Answers — Page 9

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Questions 81–90 of 182. Imported answers require independent review unless marked reviewed.

Topic practice 182 questionsPage 9 of 19

Consider an atomic gas with number density

m⁻³, in the ground state at 300 K. The valence electronic configuration of atoms is

. The paramagnetic susceptibility of the gas

. The value of

(rounded off to two decimal places) is _____.

(Given: Magnetic permeability of free space

H m⁻¹

Bohr magneton

A m²

Boltzmann constant

J K⁻¹)

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Consider a cross-section of an electromagnet having an air-gap of 5 cm as shown in the figure. It consists of a magnetic material (

) and is driven by a coil having

A, where

is the number of turns and

is the current in Ampere.

Ignoring the fringe fields, the magnitude of the magnetic field

(in Tesla, rounded off to two decimal places) in the air-gap between the magnetic poles is _____.

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The spin

and orbital angular momentum

of an atom precess about

, the total angular momentum.

precesses about an axis fixed by a magnetic field

, where

is a constant. Now the magnetic field is changed to

. Given the orbital angular momentum quantum number

and spin quantum number

is the angle between

and

for the largest possible values of total angular momentum quantum number

and its z-component

. The value of

(in degree, rounded off to the nearest integer) is _____.

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The spin-orbit effect splits the

transition (wavelength,

Å) in Lithium into two lines with separation of

Å. The corresponding positive value of energy difference between the above two lines, in eV, is

. The value of

(rounded off to the nearest integer) is _____.

(Given: Planck’s constant,

eV s

Speed of light,

m s⁻¹)

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Particle

with angular momentum

decays into two particles

and

with angular momenta

and

, respectively. If

, the value of

is _____.

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Far from the Earth, the Earth’s magnetic field can be approximated as due to a bar magnet of magnetic pole strength

. Assume this magnetic field is generated by a current carrying loop encircling the magnetic equator. The current required to do so is about

, where

is an integer. The value of

is _____. (Earth’s circumference:

)

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The number of distinct ways the primitive unit cell can be constructed for the two dimensional lattice as shown in the figure is _____.

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A hydrogen atom is subjected to a strong magnetic field. In the absence of spin-orbit coupling, the number of doubly degenerate states created out of the

-level is _____.

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A particle

undergoes strong decay

. The isospin of

is _____.

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For a complex variable

and the contour

taken in the counter clockwise direction,

_____.

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GATE PH format:nat PYQs

Question 52

Question 53

Question 54

Question 55

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22