MHT CET 2024 Physics question

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

(A)same as the smaller droplet.
(B)half of that for smaller droplet.Correct
(C) of that for smaller droplet.
(D)twice that for smaller droplet.

Answer: (B)

Solution

Excess pressure inside a liquid drop (one free surface) is . Volume conservation: , where is the radius of the big drop and that of each droplet. Then P_{big}\dfrac{2T}{R}$ =

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Question ID VK-099623