Fluid Mechanics Viscosity Question 320

Question: A water film is formed between two straight parallel wires of 10 cm length 0.5 cm apart. If the distance between wires is increased by 1 mm. What will be the work done? (surface tension of water $ =72dyne/cm $ )

Options:

A) 36 erg

B) 288 erg

C) 144 erg

D) 72 erg

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Work done = Surface tension $ \times $ increase in area of the film $ W=S\times \Delta A $ $ Increaseinarea=Finalarea-initialarea $ $ =10\times (0.5+0.1)-10\times 0.5=1cm^{2} $ $ \therefore ,,,W=72\times 2\times 1=144erg $ [$ \therefore $ There are 2 free surfaces; $ \therefore ,,\Delta A=2\times 1 $ ].