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10. A frame made of metallic wire enclosing a surface area is covered with
a soap film.If the area of the frame of the metallic wire is increased by 10%
energy of the soap film will be changed by"
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Explanation:
Area of one side of frame =A
But metallic wire frame having soap film has two surfaces.
Thus total surface area of the frame =2A
Energy of soap film, E=2AT (where T is the surface tension of soap film)
Now the surface area of one side is reduced to half i.e A
′
=
2
A
∴ E
′
=2A
′
T=2T×
2
A
=AT
Percentage change in energy =
E
E−E
′
×100=
2AT
2AT−AT
×100=50 %
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