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Q.

A water drop is divided into 8 equal droplets. The pressure difference between inner and outer sides of the big drop

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a

will be the same as for smaller droplet

b

will be half of that for smaller droplet

c

will be one-fourth of that for smaller droplet

d

will be twice of that for smaller droplet

answer is B.

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Detailed Solution

Suppose, R = radius of water drop and r = radius of droplets

43πR3 = 8×43πr3

[Since, volume remains constant]

r = R2

Since, excess pressure inside drop = 2TR

[T-surface tension, R-radius]

Pressure difference between inner and outer surface of big drop will be half of that for smaller droplet.

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