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Q.

A particle of mass m is allowed to oscillate near the minimum of a vertical parabolic path having the equation x2 = 4ay . The angular  frequency of small oscillation is given by

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a

gh

b

2gh

c

g2a

d

ga

answer is C.

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Detailed Solution

f=−mg sinθ  for small ' θ ' sinθ=tanθf=−mg tanθ  here tanθ=dydx=2x4a=x2af=−mgx2a=−mw2x
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