Classical Mechanics-Lorentz Transformations (GATE Physics): Questions 1 - 3 of 3

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Question number: 1

» Classical Mechanics » Lorentz Transformations

Appeared in Year: 2014

MCQ▾

Question

Which one of the following quantities is invariant under Lorentz transformation?

Choices

Choice (4) Response

a.

Charge

b.

Electric field

c.

Charge density

d.

Current

Question number: 2

» Classical Mechanics » Lorentz Transformations

Appeared in Year: 2011

MCQ▾

Question

Let (p,q) and (P,Q) be two pairs of canonical variables. The transformation

Q=qαcos(βp)

P=qαsin(βp)

is canonical for

Choices

Choice (4) Response

a.

α=2,β=2

b.

α=12,β=2

c.

α=1,β=1

d.

α=2,β=12

Question number: 3

» Classical Mechanics » Lorentz Transformations

Appeared in Year: 2009

MCQ▾

Question

If p and q are the position and momentum variables, which one of the following is NOT a canonical transformation?

Choices

Choice (4) Response

a.

Q=αq+βp and P=βq+αp for α,β real and α2β2=1

b.

Q=p and P=q

c.

Q=αq and P=1αp , for α0

d.

Q=p and P=q

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