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Question

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

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Solution

T=K(sarbρc)
M0L0T1=R(MT2)2(Lb)(ML3)c
Comparing powers
of mi
0=a+c...(1)
Of Li
0=b3cb=3e...(2)
Of Ti
1=2aa=1/2
Solving (1) & (2)
c=1/2
b=3/2
T=Kr3/2ρ1/2sr2
T=Kr3ρs

1172127_982228_ans_78b2e62450e44e8789db2d63dd88d0a4.jpg

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