Question
Question: Beats are produced by two waves given by \(y_{1} = a\sin 2000\pi t\) and \(y_{2} = a\sin 2008\pi t\)...
Beats are produced by two waves given by y1=asin2000πt and y2=asin2008πt. The number of beats heard per second is
A
Zero
B
One
C
Four
D
Eight
Answer
Four
Explanation
Solution
Number of beats per second = n1∼n2
ω1=2000π=2πn1 ⇒ n1 = 1000
and ω2=2008π=2πn2 ⇒ n2 = 1004
Number of beats heard per sec =1004−1000=4