Wave Mechanics Beats Question 4

Question: A tuning fork of frequency 100 when sounded together with another tuning fork of unknown frequency produces 2 beats per second. On loading the tuning fork whose frequency is not known and sounded together with a tuning fork of frequency 100 produces one beat, then the frequency of the other tuning fork is

[NCERT 1977]

Options:

A) 102

B) 98

C) 99

D) 101

Show Answer

Answer:

Correct Answer: A

Solution:

Suppose nA = known frequency = 100 Hz, nB =? x = 2 = Beat frequency, which is decreasing after loading (i.e.

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

(i) Wrong nB ¯ ? nA = x¯ …

(ii) Correct

Therefore nB = nA + x = 100 + 2 = 102 Hz.