A travelling sound wave is described by the equation `y = 2sin(4t - 5x)` where `y` is measured in centimeter. `t` in seconds and `x` in meters.
(a) Find the ratio of amplitude and wavelength of wave.
(b) Find the ratio of maximum velocity of particular to wave velocity.

Answer

(a) `(kA)/(2pi) = (1)/(20 pi)` , (b) `kA = (1)/(50)`

Explanation

(a) `(A)/(lambda) = (A)/(2pi//k) = (Ak)/(2pi) = (2 xx 10^(-2) xx 5)/(2pi) = (1)/(20pi)`
(b) `("max.velocity particle")/("wave velocity") = (Aomega)/(omega//k) = kA = 5 xx 2 xx 10^(-2) = (1)/(10)`