Wave Mechanics Beats Question 5

Question: A tuning fork sounded together with a tuning fork of frequency 256 emits two beats. On loading the tuning fork of frequency 256, the number of beats heard are 1 per second. The frequency of tuning fork is

[NCERT 1975, 81; MP PET 1985]

Options:

A) 257

B) 258

C) 256

D) 254

Show Answer

Answer:

Correct Answer: D

Solution:

nA = Known frequency = 256, nB = ? x = 2 bps, which is decreasing after loading (i.e.

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

(i) Correct nB ? nA¯ = x¯ …

(ii) Wrong

Therefore nB = nA ? x = 256 ? 2 = 254 Hz.