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Engineering Physics · Q39

Classical Mechanics

Engineering and GATE · Engineering Physics · question 39

Q39

A particle of mass m is moving in a potential of the form V(x, y, z) = 1/2 mω2 (3x2 + 3y2 + 2z2 + 2xy). The oscillation frequencies of the three normal modes of the particle are given by

A particle of mass m is moving in a potential of the form V(x, y, z) = 2 (3x2 + 3y2 + 2z2 + 2xy). The oscillation frequencies of the three normal modes of the particle are given by
A.
ω, ω and ω
Answer
B.
ω, ω and ω
C.
ω, ω and 2ω
D.
ω, 2ω and 2ω

Answer: Option A

Solution

Answer: Option A
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