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Chapter 9: Problem 140

Speed of sound wave in air (A) is independent of temperature. (B) increases with pressure. (C) increases with increase in humidity. (D) decreases with increase in humidity.

Short Answer

Expert verified
The correct answer is (C). The speed of sound in air increases with an increase in humidity.

Step by step solution

01

Understanding the factors affecting sound speed

The speed of sound in a medium depends on various factors. In air, it is affected by temperature, pressure, humidity and other factors. Each of these factors contribute to changes in air density, which directly affects the speed of sound.
02

Analyzing the effect of temperature on sound speed

The speed of sound in air increases with increasing temperature. This is because higher temperatures result in increased kinetic energy of the air molecules, enabling faster transmission of sound waves. Therefore, option (A) is not correct.
03

Analyzing the effect of pressure on sound speed

The speed of sound in air is largely independent of pressure in air, especially at low altitudes. An increase in pressure usually results in an increase in density, but if temperature remains the same, the speed of sound does not increase. Therefore, option (B) is also incorrect.
04

Analyzing the effect of humidity on sound speed

Humidity is the amount of water vapor present in air. More water vapor means less dense air, because a water molecule is lighter than both the nitrogen and oxygen molecules that make up most of the atmosphere. And, less dense air transmits sound faster. Therefore, as humidity increases, the speed of sound also increases. Hence, option (C) is correct and option (D) is not.

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Most popular questions from this chapter

Length of a string tied to two rigid supports is \(40 \mathrm{~cm}\). Maximum length (wavelength in \(\mathrm{cm}\) ) of a stationary wave produced on it is (A) 20 (B) 80 (C) 40 (D) 120

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