Chapter 10.4, Problem 24R

To determine

Thedistance travelled by a sonar pulse.

Answer to Problem 24R

The required distance is $\boxed{\lambda =69\text{ km}}$ .

Explanation of Solution

Given:

Speed of sound in seawater, $v=\text{ 15}00\text{ m}/\text{s}$ and time taken to travel is $t=\text{ 46 s}$ .

Introduction:

The distance of travel of a sonar sound is related with the speed and the time taken to travel that distance.

Formula used:

The expression for distance of travel of sonar pulse is

  $v=\frac{\lambda }{t}$..................(1)

Here, v is the speed of the sonar pulse, λ is the distance of travel and t is the time taken.

Calculation:

Substitute $\text{15}00\text{ m}/\text{s}$ for v , $46\text{s}$ for t in equation (1)

  $\begin{array}{l}1500=\frac{\lambda }{46}\\ \boxed{\lambda =69000\text{ m = 69 km}}\end{array}$

Conclusion:

Hence, the required distance is $\boxed{\lambda =69\text{ km}}$ .