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Chapter 8: Problem 39

The pressure just below the meniscus of water (A) is greater than just above it. (B) is lesser than just above it. (C) is same as just above it. (D) is always equal to atmospheric pressure.

Short Answer

Expert verified
The pressure just below the meniscus of water is greater than just above it due to the surface tension and the presence of the column of liquid immediately above the point. Therefore, the answer is (A).

Step by step solution

01

Understand the meniscus and surface tension

A meniscus is the curved surface of a liquid in a container. The curvature of the meniscus is due to the cohesive forces between the liquid molecules and adhesive forces between the liquid and the container's wall. In the case of water, its meniscus is usually concave due to stronger adhesive forces. Surface tension is the force acting per unit length on the liquid surface that allows it to minimize its surface area. In the context of a meniscus, surface tension contributes to the pressure difference across the liquid-gas interface.
02

Analyze the pressure differences

To determine the relationship between the pressure just below the meniscus and the pressure just above it, we will consider the pressures at the liquid-gas interface at the highest point of the concave meniscus. Underneath the meniscus (inside the liquid), the pressure consists of the atmospheric pressure, the pressure due to surface tension, and the pressure due to the column of liquid immediately above the point. Above the meniscus (in the gas), the pressure is simply the atmospheric pressure.
03

Compare the pressures

Comparing the pressures just below and above the meniscus, we have: 1. Pressure just below the meniscus = Atmospheric pressure + Surface tension contribution + Pressure due to column of liquid above the point 2. Pressure just above the meniscus = Atmospheric pressure Since there is a pressure contribution due to surface tension and the presence of the column of liquid immediately above the point, the pressure just below the meniscus is greater than the pressure just above it. Therefore, the answer is: (A) The pressure just below the meniscus of water is greater than just above it.

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Most popular questions from this chapter

The weight of a body in air is \(100 \mathrm{~N}\). Its weight in water, if it displaces \(400 \mathrm{cc}\) of water is (A) \(90 \mathrm{~N}\) (B) \(94 \mathrm{~N}\) (C) \(98 \mathrm{~N}\) (D) None of these

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