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Engineering Physics · Q55

Classical Mechanics

Engineering and GATE · Engineering Physics · question 55

Q55

A particle of mass m moves in a potential V(x) = 1/2 mω2x2 + 1/2 mμv2, where x is the position coordinate, v is the speed and ω, μ are constants. The canonical momentum of the particle is

A particle of mass m moves in a potential V(x) = 2x2 + mμv2, where x is the position coordinate, v is the speed and ω, μ are constants. The canonical momentum of the particle is
A.
p = m(1 + μ)v
B.
p = mv
C.
p = mμv
D.
p = (1 - μ)mv
Answer

Answer: Option D

Solution

Answer: Option D
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