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Questions  

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

a
2πmU0
b
πmαU0
c
2πmαU0
d
2παmU0

detailed solution

Correct option is D

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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