A container of width 2 a is filled with a liquid. A thin wire of weight per unit length λ is gently placed over the liquid surface in the middle of the surface as shown in the figure. As a result, the

Question

A container of width 2 a is filled with a liquid. A thin wire of weight per unit length $λ$ is gently placed over the liquid surface in the middle of the surface as shown in the figure. As a result, the liquid surface is depressed by a distance $y (y ≪ a)$ . Determine the surface tension of the liquid.

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Answer:

Solution:

By force balance on the wire,

$2 T cos θ ℓ = λ ℓ g \frac{2 Ty}{a ^{2} + y ^{2}} ℓ = λ ℓ g; [T = \frac{λ ag}{2 y}]$

TestHub · Accepted Answer

By force balance on the wire, ​ 2 T cos θ ℓ = λ ℓ g ​ a 2 + y 2 ​ 2 Ty ​ ℓ = λ ℓ g ; [ T = 2 y λ ag ​ ] ​

Physics - Fluid Question with Solution | TestHub

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