Home Physics Surface Tension JEE (Main) / AIEEE Problems (Previous Years) Assume that a drop of liquid evaporates by d…
Physics Surface Tension JEE (Main) / AIEEE Problems (Previous Years) MCQ (Single Correct)

Assume that a drop of liquid evaporates by decrease in its surface energy, so that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible? The surface tension is T, density of liquid is ρ and L is its latent heat of vaporization.

A
ρ L/T
B
C
T/ ρ L
D
2T/ ρ L

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Text Solution

Verified by Experts
The correct answer is:
D

When radius is decrease by dr

decrease in surface energy = Heat required for vaporization

(4 π rdr) × T × 2 = 4 π r 2 drL ρ ⇒

r =

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