GATE PH concept:angular-momentum PYQs & Answers

Questions 1–6 of 6. Imported answers require independent review unless marked reviewed.

Consider two particles with angular momenta

and

. If the expression

gives an eigenstate of the total angular momentum of the two particles, using standard notation. Which of the following is true?

(Hint:

)

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Which of the following option(s) is/are correct for photons?

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

Its rest mass is zero, but its energy is non-zero

It carries non-zero linear momentum

It carries zero spin angular momentum

It has two linearly independent states of polarization

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

An electron in the Coulomb field of a proton is in the following state of coherent superposition of orthonormal states

Let

, and

represent the first three energy levels of the system. A sequence of measurements is done on the same system at different times. Energy is measured first at time

and the outcome is

. Then total angular momentum is measured at time

and finally energy is measured again at

. The probability of finding the system in a state with energy

after the final measurement is

. The value of

is _____ (in integer).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

is the Hamiltonian,

the orbital angular momentum and

is the z-component of

. The

state of the hydrogen atom in the non-relativistic formalism is an eigen function of which one of the following sets of operators?

Your answerChoose one option.

and

only

and

only

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Particle

with angular momentum

decays into two particles

and

with angular momenta

and

, respectively. If

, the value of

is _____.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE PH concept:angular-momentum PYQs

How to practice concept:angular-momentum

Question 40

Question 25

Question 48

Question 64

Question 15

Question 17