Wave Mechanics Beats Question 19

Question: When a tuning fork A of unknown frequency is sounded with another tuning fork B of frequency 256 Hz, then 3 beats per second are observed. After that A is loaded with wax and sounded, the again 3 beats per second are observed. The frequency of the tuning fork A is

[MP PMT 1994]

Options:

A) 250 Hz

B) 253 Hz

C) 259 Hz

D) 262 Hz

Show Answer

Answer:

Correct Answer: C

Solution:

It is given that nA = Unknown frequency = ? nB = Known frequency = 256 Hz x = 3 bps, which remains same after loading Unknown tuning fork A is loaded so nA¯ Hence nA¯ ? nB = x …

(i) Correct nB ? nA¯ = x …

(ii) Wrong

Therefore nA = nB + x = 256 + 3 = 259 Hz.