   # Assume a change at the source of sound reduces the wavelength of a sound wave in air by a factor of 2. ( i ) What happens to its frequency? (a) It increases by a factor of 4. (b) It increases by a factor of 2. (c) It is unchanged. (d) It decreases by a factor of 2. (e) It changes by an unpredictable factor. ( ii ) What happens to its speed? Choose from the same possibilities as in part (i). ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 17, Problem 17.8OQ
Textbook Problem
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## Assume a change at the source of sound reduces the wavelength of a sound wave in air by a factor of 2. (i) What happens to its frequency? (a) It increases by a factor of 4. (b) It increases by a factor of 2. (c) It is unchanged. (d) It decreases by a factor of 2. (e) It changes by an unpredictable factor. (ii) What happens to its speed? Choose from the same possibilities as in part (i).

(i)

To determine

The frequency if the wavelength of the sound reduces by factor of 2 .

### Explanation of Solution

Given info: The wavelength of the sound reduces by factor of 2 .

Formula to calculate the frequency is,

f=vλ

Here,

f is the frequency.

v is the speed of the sound.

λ is the wavelength of the wave.

The initial frequency of sound before reducing the wavelength is,

f1=vλ1 (1)

Here,

f1 is the initial frequency of sound before reducing the wavelength.

λ1 is the initial wavelength.

The final frequency of sound after reducing the wavelength is,

f2=vλ2 (2)

Here,

f2 is the final frequency of sound after reducing the wavelength.

λ2 is the final wavelength.

Divide the equation (1) by equation (2).

f1f2=vλ1vλ2f1f2=

(ii)

To determine

The speed of sound if wavelength of the sound reduces by factor of 2 .

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