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Q.

The liquid drop of density P radius r and surface tension  oscillates with time period T. Which of the following expression for T is correct?

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a

ρσ/r3

b

r3σ/ρ

c

ρr3/σ1/2

d

ρ3σ3/r3

answer is C.

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Detailed Solution

Let,T=ρxryσz[T]=ML−3x[L]yMT−2z=Mx+zL−3x+yT−2z So, x+z=0,−3x+y=0 and −2z=1∴ x=1/2, y=3/2 and z=−1/2Hence, T=ρr3/σ1/2
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