CSIR Physical Sciences: Questions 170 - 173 of 389

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 389 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 250.00 or

Question number: 170

» Classical Mechanics » Dynamical System

Appeared in Year: 2011

MCQ▾

Question

A particle of unit mass moves in a potential V(x)=ax2+bx2 , where a and b are positive constants. The angular frequency of small oscillations about the minimum of the potential is – (June)

Choices

Choice (4) Response

a.

8a

b.

8ab

c.

8ba

d.

8b

Question number: 171

» Electronics and Experimental Methods » A-D and D-a Converters

Appeared in Year: 2011

MCQ▾

Question

A signal of frequency 10 kHz is being digitized by AD converter. A possible sampling time which can be use is – (June)

Choices

Choice (4) Response

a.

100μs

b.

40μs

c.

200μs

d.

50μs

Question number: 172

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2011

MCQ▾

Question

The wavefunction of a particle is given is given by ψ=(12ϕ0+iϕ1) , where ϕ0 and ϕ1 are the normalized eigenfunctions with energies E0 and E1 corresponding to the ground state and first excited state, respectively. The expectation value of the Hamiltonian in state ψ is –

(June)

Choices

Choice (4) Response

a.

E02+E1

b.

E02E13

c.

E0+2E13

d.

E02E1

Question number: 173

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2014

MCQ▾

Question

The matrices A=[010100000],B=[001000000]andC=[000001000] Satisfy the commutation relations (June)

Choices

Choice (4) Response

a.

[A,B]=B,[B,C]=0,[C,A]=A

b.

[A,B]=C,[B,C]=A,[C,A]=B

c.

[A,B]=C,[B,C]=0,[C,A]=B

d.

[A,B]=B+C,[B,C]=0,[C,A]=B+C

Sign In