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A thin liquid film formed between a U-sh...

A thin liquid film formed between a `U-`shaped wire and a light slider supports a weight of `1.5 xx 10^(-2)N`(see figure). The length of the slider is `30 cm` and its weight negligible. The surfaces tension of the liquid film is :

A

`0.0125 N m^(-1)`

B

`0.1 N m^(-1)`

C

`0.05 N m^(-1)`

D

`0.025 N m^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Here, `W= 1.5xx10^(-2) N, l=30 cm =30 xx 10^(-2)m`
The force due to surface tension will the balance the weight. i.e., F=W
A liquid film has two free surfaces.
2TL=W or `T=(W)/(2L)`
`T=(1.5xx10^(-2))/(2xx30xx10^(-2))=0.025 N m^(-1)`

A slider will suport the weight when the force of surface tension acting upwards on the slider `(=2Sl)` balances the downward force due to weight (=W)
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