GATE PH format:msq PYQs & Answers — Page 6

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Questions 51–60 of 88. Imported answers require independent review unless marked reviewed.

Topic practice 88 questionsPage 6 of 9

Which of the following options represent(s) linearly independent pair(s) of functions of a real variable

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

and

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Under parity and time reversal transformations, which of the following statements is(are) TRUE about the electric dipole moment

and the magnetic dipole moment

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

is odd under parity and

is odd under time reversal

is odd under parity and

is even under time reversal

is even under parity and

is odd under time reversal

is even under parity and

is even under time reversal

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Consider the complex function

, which of the following options is(are) CORRECT?

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

The order of the pole is 4

The order of the pole is 3

The residue at the pole is

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Consider the vector field

consisting of the velocities of points on a thin horizontal disc of radius

, moving anticlockwise with uniform angular speed

about an axis passing through its center. If

, then which of the following options is(are) CORRECT? (In the options,

and

are unit vectors corresponding to the plane polar coordinates

and

You may use the fact that in cylindrical coordinates

(

is the distance from the

-axis), the gradient, divergence, curl and Laplacian operators are:

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

, where

is a unit vector perpendicular to the

plane

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A slow moving

particle is captured by a deuteron

and this reaction produces two neutrons

in the final state, i.e.,

. Neutron and deuteron have even intrinsic parities, whereas

has odd intrinsic parity.

and

are the orbital and spin angular momenta, respectively, of the system of two neutrons. Which of the following statements regarding the final two-neutron state is(are) CORRECT?

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

It has odd parity

is odd

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For an Op-Amp based negative feedback, non-inverting amplifier, which of the following statements are true?

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

Closed loop gain < Open loop gain

Closed loop bandwidth < Open loop bandwidth

Closed loop input impedance > Open loop input impedance

Closed loop output impedance < Open loop output impedance

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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

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

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For the refractive index

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

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

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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GATE PH format:msq PYQs

Question 32

Question 55

Question 56

Question 57

Question 58

Question 20

Question 21

Question 22

Question 23

Question 24