Wave Mechanics Beats Question 30

Question: An unknown frequency x produces 8 beats per seconds with a frequency of 250 Hz and 12 beats with 270 Hz source, then x is

[CPMT 1997; KCET 2000]

Options:

A) 258 Hz

B) 242 Hz

C) 262 Hz

D) 282 Hz

Show Answer

Answer:

Correct Answer: A

Solution:

Since source of frequency x gives 8 beats per second with frequency 250 Hz, it’s possible frequency are 258 or 242.

As source of frequency x gives 12 beats per second with a frequency 270 Hz, it’s possible frequencies 282 or 258 Hz.

The only possible frequency of x which gives 8 beats with frequency 250 Hz also 12 beats per second with 258 Hz.