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Question 7

A thin liquid film formed between a U-shaped wire and a light slider supports a weight of $$1.5 \times 10^{-2}$$ N (see figure). The length of the slider is $$30$$ cm and its weight negligible. The surface tension of the liquid film is

image

Upward force exerted by surface tension on the two free surfaces of the film balances the downward weight of the suspended mass at equilibrium.

Using equilibrium condition:

$$2Tl = W$$

$$2 \times T \times 0.3 = 1.5 \times 10^{-2} \implies 0.6T = 0.015 \implies T = 0.025\text{ N}\cdot\text{m}^{-1}$$

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