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A rectangular film of liquid is extended...

A rectangular film of liquid is extended from `(4 cm xx 2 cm)` to `(5 cm xx 4 xx cm)`. If the work done is `3 xx 10^(-4)J`, the value of the surface tension of the liquid is

A

`8.0 Nm^(-1)`

B

`0.250 Nm^(-1)`

C

`0.125 Nm^(-1)`

D

`0.2 Nm^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Increase in surface area = `(20 - 8) xx2`
`=12 xx 2`
`=24cm^2` (film has two surfaces)
So work done = T. `DeltaA = T xx 24 xx10^(-4) = 3 xx10^(-4) `
So, `T =3/24 N//m =1/8 Nm^(-1) = 0.125 N//m`
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