Download the app

Beats

Question

A source of sonic oscillations with frequency n = 1700 Hz and a receiver are located on the same normal to a wall. Both the source and receiver are stationary, and the wall recedes from the source with velocity u = 6.0 cm/s. Find the beat frequency (in Hz) registered by the receiver. The velocity of sound is equal to v = 340 m/s.

Moderate
Solution

In this case the observer will notice two frequencies. One, direct through the source and second, through the reflection by moving wall.

As both source and receiver are at rest the frequency of sound waves which directly reach to receiver, will be 1700 Hz.

Hence ndirect =1700Hz. The frequency of sound which wall will receive as a moving observer is

n1=n0vuv0=n0vuv                    …(i)

The wall now behaves as a moving source of frequency n1 which when received by receiver, the frequency observed is 

n2=n1v0v(u)=n1vv+u=n0vuv+u                …(ii)

=17003400.06340+0.06=1700×339.94340.06=1699.4Hz

Thus, beat frequency received by detector is 

Δn=17001699.4=0.6Hz



Talk to our academic expert!

+91

Are you a Sri Chaitanya student?



Similar Questions

A metal wire of diameter 1.5 mm is held on two knife edges separated by a distance 50 cm the tension in the wire is 100 N the wire vibrating with its fundamental frequency and vibrating tuning fork together produces 5 beats per second. The tension in the wire is then reduced to 81 N, when the two are excited, beats are heard at the same rate. Calculate frequency of the fork.


phone icon
whats app icon