Test Index

Mechanical Properties of Fluids

© examsnet.com
Question : 17 of 31
Marks: +1, -0
A U-shaped wire is dipped in a soap solution, and removed. The thin soap film formed between the wire and the light slider supports a weight of 1.5×1021.5 \times 10^{-2} N (which includes the small weight of the slider). The length of the slider is 30 cm. What is the surface tension of the film?
Solution:  
We know that a soap film has two free surfaces, so total length of the film to be supported, l=2×30 cml = 2 \times 30 \text{ cm}
or l=60 cm=0.60 ml = 60 \text{ cm} = 0.60 \text{ m}
Let T = surface tension of the film
If F = total force on the slider due to surface tension, then
F=T×2l=T×0.6 NF = T \times 2l = T \times 0.6 \text{ N}
W=1.5×102 NW = 1.5 \times 10^{-2} \text{ N}
In equilibrium position, the force FF on the slider due to surface tension must be balanced by the weight (W)(W) supported by the slider.
i.e. F=W=mgF = W = m g
or T×0.6=1.5×102T \times 0.6 = 1.5 \times 10^{-2}
T=1.5×1020.6\therefore T = \frac{1.5 \times 10^{-2}}{0.6}
=2.5×102Nm1= 2.5 \times 10^{-2} \mathrm{Nm}^{-1}
© examsnet.com
Go to Question: