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Mechanical Properties Of Fluids

Question

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A frame made of metallic wire enclosing a surface area A is covered with a soap film. If the area of the frame of metallic wire is reduced by 50%, the energy of the soap film will be changed by

100%

75%

50%

25%

Solution

C.

50%

Surface energy = surface tension × surface area

E = T × 2A

New surface energy

$E_{1} = T \times 2 (\frac{A}{2}) = T \times A$

% decrease in surface energy

$= \frac{E_{1} - E_{2}}{E} \times 100 = \frac{2 TA - TA}{2 TA} \times 100$

% decrease in surface energy = 50%

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