Question

A person who is sitting at a distance of 400 m from a source of sound is listening to a

sound of 600 Hz. Find the time period between successive compressions from the source?​

Answer 1

Given :

• Distance (s) = 400 m
• Frequency (λ) = 600 Hz

To find :

• Time period between two successive compressions from the source.

Solution :

We are given the distance between listener (person) and the sound which is 400 m, Also the frequency of sound waves is given as 600 Hz, and we have to calculate the time between two compressions. So, use formula :

$\implies \sf{Time \: = \: \dfrac{1}{Frequency}} \\ \\ \implies \sf{t \: = \: \dfrac{1}{\lambda }} \\ \\ \implies \sf{t \: = \: \dfrac{1}{600}} \\ \\ \implies \sf{t \: = \: 0.00167}$

$\therefore$ Time period between two successive compressions is 0.00167 seconds

Answer 2

Answer:

Frequency of the sound = 600 Hz.

The distance between the person and the source of sound = 400 m.

We need to find the time period between successive compressions from the source ?

We know that, Time period = 1/frequency.

Hence, Time = 1/600

Time = 0.0016 seconds.

FORMULAS REALTED TO SOUND –

• V = f λ
• f = 1/t
• v = 2d/t , when sound travels back to the source. (Submarine)