Read the assertion and reason carefully and mark the correct option given below. (a) If both assertion and reason are true and the reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not the correct explanation of the assertion. (c) If assertion is true but reason is false. (d) If the assertion and reason both are false. Assertion: Tiny drops of liquid resist deforming forces better than bigger drops. Reason: Excess pressure inside a drop is directly proportional to surface tension. (A) a (B) \(b\) (C) (D) d

Deforming forces are external forces that can change the shape of an object, in this case, a liquid drop. They can act on the drop through various mechanisms, such as gravity, pressure differences, or external stimuli.

Excess pressure is the difference in pressure between the inside and the outside of a drop or bubble. It results from the surface tension, which is the force that acts along the surface of a liquid and tends to minimize its surface area. According to LaPlace's Law, excess pressure inside a spherical drop due to surface tension is given by the formula: \[ P_{excess} = \dfrac{2\gamma}{R} \] where \(\gamma\) is the surface tension of the liquid, and \(R\) is the radius of the drop. From this formula, we can see that the excess pressure is inversely proportional to the radius of the drop.

When considering the resistance of drops to deformation, we must take into account both the excess pressure within the drop and the surface tension. Since excess pressure is inversely proportional to the radius, smaller drops (with smaller radii) will have a higher excess pressure. This higher excess pressure will make the drops more resistant to deforming forces.

The given reason states that excess pressure inside a drop is directly proportional to surface tension. From LaPlace's Law, we know this statement is true as excess pressure depends on surface tension: \[ P_{excess} = \dfrac{2\gamma}{R} \]

Now that we have broken down the assertion and reason individually, we must determine whether the given reason is the correct explanation for the assertion. The assertion claims that tiny drops of liquid resist deforming forces better than bigger drops, which is true, as described in Step 3. The reason provided states that excess pressure inside a drop is directly proportional to the surface tension, which is also true, as seen from LaPlace's Law in Step 4. However, this reason does not completely explain why tiny drops resist deformation better than bigger drops, as it only addresses one aspect of the phenomenon (the relationship between excess pressure and surface tension). The inverse relation between excess pressure and the radius of the drop is crucial to understanding the full explanation. Based on the discussion above, the most accurate answer to the exercise is:

(B) If both assertion and reason are true but reason is not the correct explanation of the assertion.