Chapter 25, Problem 28A

Calculate the speed of waves in a puddle that are 0.15 m apart and made by tapping the water surface twice each second.

To determine

To calculate: The speed of waves in a puddle with a given wavelength and frequency.

Answer to Problem 28A

The speed of waves in the puddle is $0.3\text{ m/s}$

Explanation of Solution

Given:

The waves in a puddle are 0.15 m apart and they move with a frequency of 2 times per second.

Formula used:

The wavelength of any wave is a function of its frequency f and velocity v , which can be expressed mathematically as

  $\lambda =\frac{v}{f}$

From this, the speed of the waves can be deduced as,

  $v=f\lambda$ .......... (1)

Calculation:

Here, waves in the puddle is having wavelength of 0.15 m and the frequency of motion is 2 /s.

Substituting these parameters in (1), the speed of waves is obtained as,

  $\begin{array}{c}v=2\times 0.15\\ =0.3\text{ m/s}\end{array}$