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Questions  

A particle of mass l0 gm is placed in a potential field given by V = (50x2 + 100) J/kg. The frequency of oscillation in cycle/sec is

a
10π
b
c
100π
d
50π

detailed solution

Correct option is B

Potential energy U = mV⇒U = (50x2+100)10-2     F = -dUdx = -(100x)10-2⇒mω2x = -(100 ×10-2)x   10×10-3ω2x = 100×10-2 x⇒ω2 = 100 ∴ω = 10⇒f = ω2π = 102π= 5π

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