Published by:
CGP EDU Academic Team
Published on: September 12, 2026
There are two liquid drops of different radii. The excess pressure inside over the outside is
Text Solution
Verified by ExpertsThe 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:
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.
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.
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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