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Q.

The period of small oscillations of a particle of mass m in a potential energy field given by U=U01-cosαx is

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a

2πmU0

b

πmαU0

c

2πmαU0

d

2παmU0

answer is D.

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Detailed Solution

potential energy U=U0 1-cosαx U= U02sin2αx2 U= U02αx22= U0α2x22      for small amplitude of oscillation U=12mω2x2=U0α2x22 ω= U0mα T=2παmU0
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