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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

`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
Increase in surface area,
`DeltaA=(5 xx 4-4xx2) xx 2` `(therefore` film has two surface)
`=(20-8) xx 2 cm^(2)= 24 xx 10^(-4) m^(2)`
So, work done, W`=TDeltaA`
`3 xx 10^(-4) = T xx 24 xx 10^(-4)`
`therefore T=1/8=0.125 Nm^(-1)`
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Knowledge Check

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

    A
    `0.250 N m^(-1)`
    B
    `0.125 N m^(-1)`
    C
    `0.2 N m^(-1)`
    D
    `0.8 N m^(-1)`

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

    A
    `0.2 Nm^(-1)`
    B
    `8.0 Nm^(-1)`
    C
    `0.250Nm^(-1)`
    D
    `0.125Nm^(-1)`

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

    A
    `0.2 Nm^(-1)`
    B
    `8.0 Nm^(-1)`
    C
    `0.250 Nm^(-1)`
    D
    `0.125Nm^(-1)`

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