The waves produced by two sources of sound are given by `y_(1) = 10 sin (200 pi t) and y_(2) = 10 sin (210 pi t)`. If the waves superimpose, then the no. of beats heard by the listener in one minute will be

Options

A. 100
B. 200
C. 300
D. 400

Answer

C

Explanation

`y_(1) = 10 sin (200 pi t)`
`:. 2pi t = 200 pit " " :. n_(1) = 100 and n_(2) = 105`
`:.` No. of beats/sec = 5 `:.` No. of beats/minute = 300