wave_mechanics Beats Question 20

Question: A source of sound gives five beats per second when sounded with another source of frequency $ 100{{s}^{-1}} $ . The second harmonic of the source together with a source of frequency $ 205{{s}^{-1}} $ gives five beats per second. What is the frequency of the source

[CBSE PMT 1995]

Options:

A) $ 105{{s}^{-1}} $

B) $ 205{{s}^{-1}} $

C) $ 95{{s}^{-1}} $

D) $ 100{{s}^{-1}} $

Show Answer

Answer:

Correct Answer: A

Solution:

Frequency of the source = 100 ± 5 = 105 Hz or 95 Hz.

Second harmonic of the source = 210 Hz or 190 Hz.

As the second harmonic gives 5 beats/sec with sound of frequency 205 Hz, the second harmonic should be 210 Hz.

Therefore Frequency of the source = 105 Hz.