GATE PH topic:physics PYQs & Answers — Page 18

Questions 171–180 of 650. Imported answers require independent review unless marked reviewed.

The equation of motion for the forced simple harmonic oscillator is

where

and

. Which one of the following options is correct?

Your answerChoose one option.

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An atom is subjected to a weak uniform magnetic field

. The number of lines in its Zeeman spectrum for transition from

Your answerChoose one option.

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Consider two matrices:

and

. Which of the following statement is/are true?

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

P and Q have same set of eigenvalues

P and Q commute with each other

P and Q have different sets of linearly independent eigenvectors

P is diagonalizable

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An infinite one dimensional lattice extends along

-axis. At each lattice site there exists an ion with spin

. The spin can point either in

direction only. Let

and

denote the entropies of paramagnetic, ferromagnetic and antiferromagnetic configurations, respectively. Which of the following relation is/are true?

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

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Consider a vector field

. The closed path (

: A → B → C → D → A) in

plane is shown in figure.

denotes the line integral of

along the closed path

. Which of the following option is/are true?

MSQ

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

is non-conservative

can be written as the gradient of a scalar field

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Two point charges of charge

each are placed a distance

apart. A grounded solid conducting sphere of radius

is placed midway between them. Assume

. Which of the following statement is/are true?

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

, the net force acting on the charges is directed towards each other

The potential at the surface of the sphere is zero

Total induced charge on the sphere is

The potential at the center of the sphere is non-zero

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A particle of mass

is moving in the potential

Figures P, Q, R and S show different combinations of the values of

and

and

with

are the eigen-energies of the

-th level for the potentials shown in figures P, Q, R and S, respectively. Which of the statement is/are true?

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

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The non-relativistic Hamiltonian for a single electron atom is

where

is the Coulomb potential and

is the mass of the electron. Considering the spin-orbit interaction term

added to

, which of the following statement is/are true?

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

commutes with

and

For a given value of principal quantum number

and orbital angular momentum quantum number

, there are

degenerate eigenstates of

and

have a set of simultaneous eigenstates

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Decays of mesons and baryons can be categorized as weak, strong and electromagnetic decays depending upon the interactions involved in the processes. Which of the following option is/are true?

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

is a weak decay

is an electromagnetic decay

is a weak decay

is a strong decay

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An extrinsic semiconductor shown in figure carries a current of 2 mA along its length parallel to +x axis.

When the majority charge carrier concentration is

and the sample is exposed to a constant magnetic field applied along the +z direction, a Hall voltage of 20 mV is measured with the negative polarity at

plane. Take the electric charge as

C. The concentration of minority charge carrier is negligible. Which of the following statement is/are true?

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

The majority charge carrier is electron

The magnitude of the applied magnetic field is 1 Tesla

The electric field corresponding to the Hall voltage is in the +y direction

The magnitude of Hall coefficient is

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GATE PH topic:physics PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50