CSIR Physical Sciences: Questions 231 - 233 of 401

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Question number: 231

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2013

MCQ▾

Question

If the operators A and B satisfy the commutation relation [A,B]=I , where I is identity operator, then – (June)

Choices

Choice (4) Response

a.

[eA,B]=eA

b.

[eA,B]=I

c.

[eA,B]=[eB,A]

d.

[eA,B]=[eB,A]

Question number: 232

» Quantum Mechanics » Variational Method

Appeared in Year: 2013

MCQ▾

Question

A particle is in the ground state of an infinite square well potential given by,

V(x)={ The probability to find the particle in the interval between a2 and a2 is – (Dec- 2013)

Choices

Choice (4) Response

a.

12

b.

121π

c.

12+1π

d.

1π

Question number: 233

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2014

MCQ▾

Question

A thin, infinitely long solenoid placed along the z – axis contains a magnetic flux ϕ . Which of the following vector potentials corresponds to the magnetic field at an arbitrary point (x,y,z) ? (June – 2014)

Choices

Choice (4) Response

a.

(Ax,Ay,Az)=(ϕ2πyx2+y2,ϕ2πxx2+y2,0)

b.

(Ax,Ay,Az)=(ϕ2πx+yx2+y2,ϕ2πx+yx2+y2,0)

c.

(Ax,Ay,Az)=(ϕ2πyx2+y2+z2,ϕ2πxx2+y2+z2,0)

d.

(Ax,Ay,Az)=(ϕ2πxx2+y2,ϕ2πyx2+y2,0)

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