Fluid Mechanics

JEE Main level, single correct, medium

154 of 192

Question 154 of 192

A thin liquid film formed between a U-shaped wire and a light slider supports a weight of 1.5×10−2 N1.5 \times 10^{-2} \mathrm{~N} (see figure). The length of the slider is 30 cm30 \mathrm{~cm} and its weight negligible. The surface tension of the liquid film is

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Answer: (D) 0.025 Nm−10.025 \mathrm{~Nm}^{-1}

The force of surface tension acting on the slider balances the force due to the weight.
$\begin{array}{ll}

\Rightarrow & \mathrm{F}=2 \mathrm{~T} \ell=\mathrm{w} \\

\Rightarrow & 2 \mathrm{~T}(0.3)=1.5 \times 10^{-2} \\

\Rightarrow & \mathrm{T}=2.5 \times 10^{-2} \mathrm{~N} / \mathrm{m}

\end{array}$

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