A rectangular wire frame ABCD that contains a soap bubble is suspended vertically as shown in the figure. The side BC is of length and is movable. It is attached to a mass less plate FG as shown in figure. If particles continuously fall on the plate at the rate of n particles per second and each particle has a momentum of ‘p’. Find the surface tension, if the system is in equilibrium given the particles have a perfectly elastic collision .

$\frac{2 n p s i n θ}{l}$

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$\frac{n p s i n θ}{l}$

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$\frac{n p c o s θ}{l}$

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$\frac{2 n p c o s θ}{l}$

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Solution

The correct option is B
$\frac{n p s i n θ}{l}$

$f_{y^{-}} \frac{Δ P_{y}}{Δ t} = \frac{n Δ t p s i n θ - (- n Δ t p s i n θ)}{Δ t} = 2 n p s i n θ T \times 2 l = 2 n p s i n θ$

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