GATE PH format:mcq PYQs & Answers — Page 37

Home
GATE
Physics
Topics
format:mcq

Questions 361–370 of 380. Imported answers require independent review unless marked reviewed.

Topic practice 380 questionsPage 37 of 38

Consider

non-interacting, distinguishable particles in a two-level system at temperature

. The energies of the levels are 0 and

, where

. In the high temperature limit (

), what is the population of particles in the level with energy

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

Consider a one-dimensional potential well of width

. Using the uncertainty principle

, an estimate of the minimum depth of the well such that it has at least one bound state for an electron is

Your answerChoose one option.

1 μeV

1 meV

1 eV

1 MeV

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

Let

be a column vector of dimension

with at least one non-zero entry. The number of non-zero eigenvalues of the matrix

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

for the ground state of the

nucleus is

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 one of the following cases of diatomic molecules is Raman, infrared, and NMR active?

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

Using Hund’s rule, the total angular momentum quantum number

for the electronic ground state of the nitrogen atom is

Your answerChoose one option.

1/2

3/2

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

Which one of the following operators is Hermitian?

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

The real space primitive lattice vectors are

and

. The reciprocal space unit vectors

and

for this lattice are, respectively

Your answerChoose one option.

and

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

Consider two particles and two non-degenerate quantum levels 1 and 2. Level 1 always contains a particle. Hence, what is the probability that level 2 also contains a particle for each of the two cases: (i) when the two particles are distinguishable and (ii) when the two particles are bosons?

Your answerChoose one option.

(i) 1/2 and (ii) 1/3

(i) 1/2 and (ii) 1/2

(i) 2/3 and (ii) 1/2

(i) 1 and (ii) 0

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

The geometric cross-section of two colliding protons at large energies is very well estimated by the product of the effective sizes of each particle. This is closest to

Your answerChoose one option.

10 b

10 mb

10 pb

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

GATE PH format:mcq PYQs

Question 33

Question 35

Question 40

Question 41

Question 44

Question 46

Question 47

Question 48

Question 49

Question 51