Wave Mechanics Beats Question 6

Question: If two tuning forks A and B are sounded together, they produce 4 beats per second. A is then slightly loaded with wax, they produce 2 beats when sounded again. The frequency of A is 256. The frequency of B will be

[CPMT 1976; RPET 1998]

Options:

A) 250

B) 252

C) 260

D) 262

Show Answer

Answer:

Correct Answer: B

Solution:

nA = Known frequency = 256 Hz, nB = ? x = 4 bps, which is decreasing after loading (i.e.

x¯) also known tuning fork is loaded so nA¯ Hence nA¯ ? nB = x¯ …

(i) Correct nB ? nA¯ = x¯ …

(ii) Wrong

Therefore nB = nA ? x = 256 ? 4 = 252 Hz.