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Q.

A small drop of water of surface tension T is squeezed between two clean glass plates so that a thin layer of thickness d and area A is formed between them. If the angle of contact is zero, the force required to pull the plate apart is

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a

(TA/d)

b

(2TA/d)

c

(4TA/d)

d

(8TA/d)

answer is B.

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Detailed Solution

An extremely thin layer of liquid can be regarded as a collection of large number of semi-spherical drops.  Excess of pressure across a thin layer = T/r(where r=d /2) ∴ p=Tr=T(d/2)=2Td Force due to surface tension pushing the two plates together F = excess of pressure x area of layer=2TA/d
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