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Q9.2: NCERT Physics - Part 2 MECHANICAL PROPERTIES OF FLUIDS 9.2 Solution: Explain why (a) The angle of contact of mercury with glass is…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently treat surface tension as a force that scales with the area of a liquid surface, assuming a larger area changes the tension. In fact, surface tension is a force per unit length acting along the interface, so it remains constant regardless of the total surface area.

Explain why (a) The angle of contact of mercury with glass is obtuse, while that of water with glass is acute. (b) Water on a clean glass surface tends to spread out while mercury on the same surface tends to form drops. (c) Surface tension of a liquid is independent of the area of the surface. (d) Water with detergent dissolved in it should have small angles of contact. (e) A drop of liquid under no external forces is always spherical in shape.

Step-by-Step Verified Solution

**Answer:** (a) Cohesive vs adhesive forces. (b) Same reason. (c) Surface tension depends on interface length, not area. (d) Detergent reduces surface tension of water. (e) Sphere has minimum surface area for a given volume. **Step-by-Step Explanation:** (a) For mercury-glass, the cohesive forces (mercury-mercury) are stronger than adhesive forces (mercury-glass), so the liquid does not wet the glass, giving an obtuse angle. For water-glass, adhesive forces are stronger, giving an acute angle [citation:31]. (b) Water wets glass because adhesive forces are stronger, so it spreads. Mercury does not wet glass because cohesive forces dominate, so it forms drops [citation:31]. (c) Surface tension is the force per unit length along the interface between a liquid and another surface. It depends on the nature of the interface, not on the area of the surface [citation:31]. (d) Detergents are surfactants that reduce the surface tension of water. A lower surface tension means a smaller angle of contact, allowing water to spread and wet surfaces more effectively [citation:31]. (e) A liquid drop tends to minimize its surface energy. For a given volume, a sphere has the minimum surface area. Hence, in the absence of external forces, a drop becomes spherical [citation:31].

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