Question

A sound waves has frequency 320 Hz and wavelength 0.25 m. How much distance will it travel in 10 second?

• A. $200m$
• B. $400m$
• C. $600m$
• D. $800m$

Answer 1

The correct option is D $800m$

The speed of the sound, distance traveled and the time taken relationship is given as follows.

$Speedofsound=\frac{Distancetraveled}{Timetaken}$

From this equation the Distance traveled is derived as

$Distancetraveled=Speedofsound\times Timetaken$

But, the speed or velocity of the sound is given as,

$speedofsound=Frequency\times Wavelength$

In the question, the frequency is 320 Hz and the wavelength is 0.25 m.

So, $Speedofsound=320Hz\times 0.25m=80m/s$

Now, $Distancetraveled=Speedofsound\times Timetaken$

That is, $Distancetraveled=80m/s\times 10seconds=800m$.

Hence, the distance traveled by the sound wave in 10 seconds is 800 meters.