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A uniform wire having mass per unit leng...

A uniform wire having mass per unit length `lambda` is placed over a liquid surface. The wire causes the liquid to depress by `y(y lt lt a)` as shown in figure. Find surface tension of liquid. Neglect end effect.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
The free body diagram of wire is given below. If l is the length of wire, then for equilibrium `2Fsintheta=W`.

`F=Sxxl`
or, `2Sxxlxxsintheta=lambdaxxlxxg`
or, `S=(lambdag)/(2sintheta)`
`:. S=(lambdag)/(2y//a)=(alambdag)/(2y)` `[:'sintheta=y/a]`
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