question_answer

Two vibrating tuning forks produce progressive waves given by \[{{y}_{1}}=4\sin 500\,\pi t\] and\[{{y}_{2}}=2\sin \,506\,\pi t\]. Number of beats produced per minute is:                           [AIPMT (S) 2005]

A) 360      

B)                  180     

C) 3        

D)  60

Correct Answer: B

Solution :

Key Idea: To reach the solution the given wave equations must be compared with standard equation of progressive wave.

So,                                (i)

(ii)

Comparing Eqs. (i) and (ii) with

(iii)

We have,

and

Thus, number of beats produced