Question

If two sound waves `y_(1) = 0.3 sin 596 pi (t - (x)/(330)) and y_(2) = 0.5 sin 604 pi (t - (x)/(330))`. The frequency at which beats are produced and the ratio of maximum and minimum intensities of beats are
A. 4 and 16
B. 2 and 4
C. 4 and 8
D. 2 and 16

Answer 1

Correct Answer - A
`omega_(1) = 596 pi, omega_(2) = 604 pi`
`2pin_(1) = 596 pi, 2 pi n_(2) = 604 pi`
`n_(1) = 298, n_(2) = 302 - 298 = 4`
`(I_("max"))/(I_("min")) = ((A + B)/(A - B))^(2)`
`= ((0.3 + 0.5)^(2))/((0.5 - 0.3)^(2)) = ((0.8)/(0.2))^(2) = (16)/(1)`