CSIR Physical Sciences: Questions 244 - 247 of 389

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Question number: 244

» Mathematical Methods of Physics » Fourier and Laplace Transforms

Appeared in Year: 2013

MCQ▾

Question

The Fourier transform of the derivative of the Dirac δ function, namely δ(x) , is proportional to – (Dec -2013)

Choices

Choice (4) Response
a.

sink

b.

ik

c.

1

d.

0

Question number: 245

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2013

MCQ▾

Question

If ψ(x)=Aexp(x4) is the eigenfunction of a one – dimensional Hamiltonian with eigenvalue E=0 , the potential V(x) (in units where =2m=1 ) is – (Dec – 2013)

Choices

Choice (4) Response
a.

16x612x2

b.

16x6+12x2

c.

12x2

d.

16x6

Question number: 246

» Electromagnetic Theory » Electrostatics: Gauss's Law and Its Applications

Appeared in Year: 2014

MCQ▾

Question

A charge (e) is placed in vacuum at the point (d,0,0) ; where d>0 . The region x0 is filled uniformly with a metal. The electric field at the point (d2,0, 0) is – (June – 2014)

Choices

Choice (4) Response
a.

10e9πε0d2(1, 0,0)

b.

eπε0d2(1, 0,0)

c.

10e9πε0d2(1, 0,0)

d.

eπε0d2(1, 0,0)

Question number: 247

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2013

MCQ▾

Question

A particle is prepared in a simultaneous eigenstate of L2 and Lz . If l(l+1) and m are respectively the eigenvalues of L2 and Lz , then the expectation value Lx2 of the particle in this state satisfies – (December -2013)

Choices

Choice (4) Response
a.

l22Lx2l(l+1)22

b.

Lx2=0

c.

0Lx2=l2

d.

0Lx2l(l+1)23

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