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The work done in splitting a drop of wat...

The work done in splitting a drop of water of 1 mm radius into `10^(6)` drops is (S.T. of water `=72xx10^(-3)J//m^(2)`)

A

`9.58 xx10^(-5) J`

B

`8.95 xx10^(-5) J`

C

`5.89 xx10^(-5) J`

D

`5.98 xx10^(-6) J`

Text Solution

Verified by Experts

The correct Answer is:
B

`4/3 piR^3 =n4/3pi(r)^3implies r=R/(n^(1//3))`
`W=4piT[n(R/(n^(1//3)))^2 -R^2]=4piR^2T[n^(1//3)-1]`
`=4pixx(1xx10^(-3))^2 xx72 xx10^(-3) (10^(6//3) -1) =8.95 xx10^(-5) J`
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