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Statement I: Smaller drops of liquid res...

Statement I: Smaller drops of liquid resist deforming forces better than the larger drops.
Statement II: Excess pressure inside a drop is directly proportional to its surface area.

A

Both Assertion and Reason are correct, Reason is the coreect expianation of Assertion

B

Bioth Assertion and Reason are Correct but Reason is not the correct expalnation of Assertion

C

Assetion is correct and Reason is incorrect

D

Assertion is incorrect and Reason is correct

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The correct Answer is:
To analyze the given statements, let's break down the concepts involved step by step. ### Step 1: Understanding Statement I **Statement I:** Smaller drops of liquid resist deforming forces better than larger drops. - **Explanation:** The resistance to deformation in a liquid drop is related to the excess pressure inside the drop. The formula for excess pressure (P₀) inside a spherical drop is given by: \[ P₀ = \frac{2T}{R} \] where \(T\) is the surface tension and \(R\) is the radius of the drop. - **Conclusion:** Since the radius \(R\) is smaller for smaller drops, the excess pressure \(P₀\) is higher. This means smaller drops have a greater internal pressure, which makes them more resistant to deformation. Thus, Statement I is **correct**. ### Step 2: Understanding Statement II **Statement II:** Excess pressure inside a drop is directly proportional to its surface area. - **Explanation:** The surface area \(A\) of a sphere is given by: \[ A = 4\pi R^2 \] From the formula for excess pressure, we can see that: \[ P₀ = \frac{2T}{R} \] If we express \(R\) in terms of surface area, we have: \[ R = \sqrt{\frac{A}{4\pi}} \] Substituting this back into the excess pressure formula gives: \[ P₀ = \frac{2T}{\sqrt{\frac{A}{4\pi}}} \] This shows that excess pressure is inversely proportional to the square root of the surface area, not directly proportional. Therefore, Statement II is **incorrect**. ### Final Conclusion - **Statement I is correct.** - **Statement II is incorrect.** ### Summary - **Statement I:** Correct - **Statement II:** Incorrect
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