CSIR Physical Sciences: Questions 270 - 272 of 389

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Question number: 270

» Quantum Mechanics » Wave-Function in Momentum Representations

Appeared in Year: 2013

MCQ▾

Question

If ψnlm denotes the eigenfunction of the Hamiltonian with a potential V=V(r) , then the expectation value of the operator Lx2 and Ly2 in the state ψ=15(3ψ211+ψ21015ψ211) is – (June – 2013)

Choices

Choice (4) Response
a.

22

b.

3925

c.

26225

d.

13225

Question number: 271

» Condensed Matter Physics » Drude Model of Electrical and Thermal Conductivity

Appeared in Year: 2013

MCQ▾

Question

Using the frequency dependent Drude formula, what is the effective kinetic inductance of a metallic wire that is to be used as a transmission line? [In the following, the electron mass is m , density of electrons is n , and the length and cross – sectional area of the wire are l and A respectively. ] (June)

Choices

Choice (4) Response
a.

mAne2l

b.

Zero

c.

mlne2A

d.

mAne2l2

Question number: 272

» Nuclear and Particle Physics » Mesons

Appeared in Year: 2013

MCQ▾

Question

Muons are produced through the annihilation of particle a and its antiparticle, namely the process, a+a¯μ++μ A muon has a rest mass of 105MeVc2 and its proper life time is 2μs . If the center of mass energy of the collision is 2.1GeV in the laboratory frame that coincides with the center – of – mass frame, then the fraction of muons that will decay before they reach a detector placed 6 km away from the interaction point is – (June)

Choices

Choice (4) Response
a.

e10

b.

1e2

c.

e1

d.

1e1

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