   Chapter 14.3, Problem 14.1QQ

Chapter
Section
Textbook Problem

Which of the following actions will increase the speed of sound in air? (a) decreasing the air temperature (b) increasing the frequency of the sound (c) increasing the air temperature (d) increasing the amplitude of the sound wave (e) reducing the pressure of the air

To determine
The action that will increase the speed of sound in air.

Explanation

Given Info: Speed of sound in air.

Formula to calculate the speed of sound in air is,

v=(331m/s)T/273K

• v is the speed of sound in air.
• T is the absolute temperature.

The formula for the speed of sound contains the temperature term only and it is proportional to the speed of sound.

Conclusion:

Since, the speed of sound is directly proportional to the absolute temperature, increasing the temperature of air increases the speed of sound. Therefore, increasing the air temperature increases the speed of sound in air. Thus, option (c) is correct.

Decreasing the air temperature decreases the speed of sound in air, since the speed of sound is directly proportional to the absolute temperature. Decreasing the temperature further decreases the speed of sound in air

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