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Question

If the time period (T) of vibrating a liquid drop depends on surface tension (S), radius (r) of the drop and density (ρ) of the liquid, then the expression of T is :

A
T=Kρr3S
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B
T=Kρ1/2r3S
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C
T=Kρr3S1/2z
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D
none
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Solution

The correct option is D T=Kρr3S
TSarbρc
M0L0T1=(M1T2)a(L1)b(ML3)c
a+c=0,b3c=0,2a=1
c=12, b=32
a=12Tα S12r32 p12
T=Kpr3s

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