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Q.

A water film is made between two straight parallel wires of length 10 cm each and at a distance of 0.5 cm from each other. If the distance between the wires is increased by 1 mm, how much work will be done ? Surface tension of water = 72 dynes/cm.

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a

72 ergs

b

216 ergs

c

288 ergs

d

144 ergs

answer is C.

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Detailed Solution

Force due to surface tension of the film on the wire.

F = 2 × T × 10 cm

Question Image

[Since, there is two free surface]

 Work done in increasing the distance by 1 mm,

W = F×(0.1)

    = 2×T×10×10(0.1) = 2×72×10×0.1 = 144 ergs

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