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Questions  

A liquid drop of density ρ, radius r and surface tension S, oscillates with time period T. Then which of the following expressions for T2 is correct?

a
ρr3s
b
ρsr3
c
sr3ρ
d
None of these

detailed solution

Correct option is A

T∝ρa sb rc⇒T=ML-3aMT-2bLc⇒M0L0T1=Ma+bL-3a+cT-2b-2b=1⇒b=-12a+b=0⇒a=12-3a+c=0⇒c=32∴T∝ρ1/2 s-(1/2) r3/2⇒T2∝ρr3s

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