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Question

Physics Question on mechanical properties of fluid

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

A

0.0125 Nm−10.0125\, Nm^{-1}

B

0.1 Nm−10.1\, Nm^{-1}

C

0.05 Nm−10.05\, Nm^{-1}

D

0.025 Nm−10.025\, Nm^{-1}

Answer

0.025 Nm−10.025\, Nm^{-1}

Explanation

Solution

2TL=mg2TL = mg T=mg2L=1.5×10−22×30×10−2=1.5600=0.025 N/mT=\frac{mg}{2L}=\frac{1.5\times10^{-2}}{2\times30\times10^{-2}}=\frac{1.5}{600}=0.025\,N/m