Home Physics Fluid Mechanics All Topic Question for Revision Test A certain number of spherical drops of a liq…
Physics Fluid Mechanics All Topic Question for Revision Test MCQ (Single Correct)

A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid, then

A
energy is released
B
energy is absorbed
C
energy is released
D
energy is neither released nor absorbed

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Text Solution

Verified by Experts
The correct answer is:
C

Here, if the surface area changes, it will change the surface energy as well. If the surface area decreases, it means that energy is released and vice-versa.

Change in surface energy … (i)
Let we have n number of drops initially.
So, … (ii)
Volume is constant.
So, … (iii)
From Eqs. (ii) and (iii), we get

As , so is negative. It means that surface area is decreased, so energy must be released.
Energy released

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