GATE PH year:2022 PYQs & Answers — Page 3

Questions 21–30 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 3 of 7

From the pairs of operators given below, identify the ones which commute. Here

and

correspond to the orbital angular momentum and the total angular momentum, respectively.

Your answerSelect all correct options. You can choose more than one.

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For normal Zeeman lines observed

and

to the magnetic field applied to an atom, which of the following statements are true?

Your answerSelect all correct options. You can choose more than one.

Only

-lines are observed

to the field

-lines

to the field are plane polarized

-lines

to the field are plane polarized

Only

-lines are observed

to the field

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Pauli spin matrices satisfy

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For the refractive index

of a material, which of the following statements are correct?

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can be obtained from

and vice versa

could be zero

is an analytic function in the upper half of the complex

plane

is independent of

for some materials

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Complex function

(

is a real number) is

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continuous at

complex-differentiable at

analytic at

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is the Fourier transform of

, then which of the following are true?

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implies

is real

implies

is purely imaginary

implies

is purely imaginary

implies

is real

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The ordinary differential equation

has a regular singularity at

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no finite value of

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For a bipolar junction transistor, which of the following statements are true?

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Doping concentration of emitter region is more than that in collector and base region

Only electrons participate in current conduction

The current gain

depends on temperature

Collector current is less than the emitter current

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Potassium metal has electron concentration of

and the corresponding density of states at Fermi level is

. If the Pauli paramagnetic susceptibility of Potassium is

in standard scientific form, then the value of

(an integer) is ________ (Magnetic moment of electron is

; permeability of free space is

)

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A power supply has internal resistance

and open load voltage

. When a load resistance

is connected to the power supply, a voltage drop of

is measured across the load. The value of

is ________ (Round off to the nearest integer)

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GATE PH year:2022 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30