Chapter 15, Problem 37A

To determine

To calculate: Time taken by the sound wave to return to the source.

Answer to Problem 37A

Time taken for the sound wave to return = $0.02\text{ s}$ .

Explanation of Solution

Given information:

Distance between source and detector = $3.0\text{ m}$

Formula Used:

As per the relation between speed, time and distance for an echo,

  $v=2d/t$

Where $v$ is the velocity of sound, $2d$ is the distance which is travelled twice and $t$ is the time taken to travel the given distance twice.

Calculations:

Now, putting $v=343\text{ m/s}$ and $d=3.0\text{ m}$ , we get $t=0.02\text{ s}$

  $v=2d/t$

  $v=343\text{ m/s}$

  $d=3.0\text{ m}$

  $t=0.02\text{ s}$