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A rectangular film of liquid is extended...

A rectangular film of liquid is extended from `(4 cm xx 2cm)` to `(5cm xx4xx cm)`. If the work done is `3xx10^(-4)J`, the value of the surface tension of the liquid is

A

0.250 `Nm^(-1)`

B

0.125 `Nm^(-1)`

C

0.2 `Nm^(-1)`

D

8.0 `Nm^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`W=2(T DeltaA)`
`DeltaA=A_(2)-A_(1)`
`=(20-8)xx10^(-4)m^(2)`
`=12xx10^(-4)m^(2)`
`T=(W)/(2DeltaA)=(3xx10^(-4))/(2xx12xx10^(-4))`
`T=(1)/(8)Nm=0.125N//m`
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