A small source of sound oscillates in simple harmonic motion with an amplitude of 17 cm. A detector is placed along the line of motion of the source. The source emits a sound of frequency 800 Hz which travels at a speed of 340 m s -1 . If the width of the frequency band detected by the detector is 8 Hz, find the time period of the source.

A small source of sound oscillates in simple harmonic motion with an amplitude of 17 cm. A detector is placed along the line of motion of the source. The source emits a sound of frequency 800 Hz which travels at a speed of 340 m s^-1. If the width of the frequency band detected by the detector is 8 Hz, find the time period of the source.

The bandwidth is the difference between the maximum and minimum frequencies. So,

As the source is moving,

Here

f₀=800 Hz

v=340ms^-1

Now,

This is the maximum speed of the SHM.

Now,

1