CSIR Physical Sciences: Questions 210 - 212 of 389

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Question number: 210

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2014

MCQ▾

Question

Let, σ=(σ1,σ2,σ3); where σ1,σ2,σ3 are the Pauli matrices. If a and b are two arbitrary constant vectors in three dimensions, the commutator [aσ,bσ] is equal to (in the following I is the identity matrix). (December)

Choices

Choice (4) Response

a.

(ab)I

b.

(ab)(σ1+σ2+σ3)

c.

a b I

d.

2i(a×b)σ

Question number: 211

» Classical Mechanics » Two Body Collisions » Scattering in Laboratory

Appeared in Year: 2014

MCQ▾

Question

In deep inelastic scattering electrons are scattered off protons to determine if a proton has any internal structure. The energy of the electron for this must be at least (December)

Choices

Choice (4) Response

a.

1.25×106eV

b.

1.25×108eV

c.

1.25×1012eV

d.

1.25×109eV

Question number: 212

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2013

MCQ▾

Question

A system is governed by Hamiltonian,

H=12(pxay)2+12(pybx)2

Where a and b are constant are px,py are momenta conjugate to x and y respectively. For what value of a and b will the quantities (px3y) and (py+2x) be conserved? (June)

Choices

Choice (4) Response

a.

a=3,b=2

b.

a=3,b=2

c.

a=2,b=3

d.

a=2,b=3

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