Wave Mechanics Beats Question 31

Question: Beats are produced by two waves $ y _{1}=a\sin 1000\pi t, $

$ y _{2}=a\sin 998\pi t $ The number of beats heard/sec is

[KCET 1998]

Options:

A) 0

B) 2

C) 1

D) 4

Show Answer

Answer:

Correct Answer: C

Solution:

$ n _{1}=\frac{1000\pi }{2\pi }=500Hz $ and $ n _{2}=\frac{998\pi }{2\pi }=499 $ Hz Hence beat frequency = $ n _{1}-n _{2}=1 $