Home Physics Surface Tension Pressure Difference There are two liquid drops of different radi…
Physics Surface Tension Pressure Difference Single Correct MCQ
Published on: September 12, 2026

There are two liquid drops of different radii. The excess pressure inside over the outside is

A
More in the big drop
B
More in the small drop
C
Equal in both drops
D
There is no excess pressure inside the drops

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Text Solution

Verified by Experts
The correct answer is:
B
Step 1: Understand the concept of excess pressure in liquid drops. The excess pressure inside a drop is given by the formula derived from the Young-Laplace equation: $$ ext{P} = \frac{2\gamma}{r}$$ where P is the excess pressure, \gamma is the surface tension of the liquid, and r is the radius of the drop.
Step 2: Analyze the equation. From the formula, we can see that the excess pressure is inversely proportional to the radius of the drop:
  • If the radius (r) is small, the excess pressure (P) is large.
  • If the radius (r) is large, the excess pressure (P) is small.
Therefore, a smaller drop will have a greater excess pressure compared to a larger drop.
Step 3: Conclude based on the calculated relationships: Since the small drop has a smaller radius, it experiences more excess pressure than the big drop.
Therefore, the correct option is: B - More in the small drop.

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