wave_mechanics dopplers_effect Question 25

Question: A table is revolving on its axis at 5 revolutions per second. A sound source of frequency 1000 Hz is fixed on the table at 70 cm from the axis. The minimum frequency heard by a listener standing at a distance from the table will be (speed of sound = 352 m/s)

[MP PET 1996]

Options:

A) 1000 Hz

B) 1066 Hz

C) 941 Hz

D) 352 Hz

Show Answer

Answer:

Correct Answer: C

Solution:

For source vS = $ r\omega =0.70\times 2\pi \times 5=22 $ m/sec Minimum frequency is heard when the source is receding the man.

It is given by $ {n _{\min }}=n\frac{v}{v+v _{s}} $ = $ 1000\times \frac{352}{352+22}=941 $

$ Hz $