   # The amplitude of a wave is doubled, with no other changes made to the wave. As a result of this doubling, which of the following statements is correct? (a) The speed of the wave changes. (b) The frequency of the wave changes. (c) The maximum transverse speed of an element of the medium changes. (d) Statements (a) through (c) are all true. (e) None of statements (a) through (c) is true. ### 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 16, Problem 16.3QQ
Textbook Problem
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## The amplitude of a wave is doubled, with no other changes made to the wave. As a result of this doubling, which of the following statements is correct? (a) The speed of the wave changes. (b) The frequency of the wave changes. (c) The maximum transverse speed of an element of the medium changes. (d) Statements (a) through (c) are all true. (e) None of statements (a) through (c) is true.

To determine

True statements among the following statements.

### Explanation of Solution

(a)

Wave is a disturbance that transfers energy through matter or space. Wave speed also known as the speed of propagation is the speed at which the wave travels through the medium.

The speed of a wave is given by,

v=fλ        (I)

Here, v is the speed of the wave, f is the frequency and λ is the wavelength.

Thus, the speed of the wave depends only on the frequency and wavelength of the wave. It is independent on the amplitude of the wave. Thus, by doubling the amplitude of the wave, the speed of the wave remains same. Hence, the given statement is false.

(b)

Frequency of the wave may be defined as the number of waves that pass a point per unit time.

The amplitude of a wave is defined as the maximum position of an element of the medium relative to its equilibrium position.

So, the frequency of the wave is independent on the amplitude of the wave. It does not change with the change in the amplitude

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