The equation of a simple harmonic progressive wave is `y = "sin" (pi)/(2) [(4t)/(0.025) - (x)/(0.25)]` where all the quantities are in SI units. What is the amplitude and frequency of the wave ?

Options

A. 2m, 2Hz
B. 1m, 80 Hz
C. 1m, 40 Hz
D. 2m, 40 Hz

Answer

C

Explanation

`y = "sin"(pi)/(2) [(4t)/(0.025) - (x)/(0.25)]`
`:. Y = 1 sin 2pi [(t)/(0.025) - (x)/(4 xx 0.25)]`
Comparing with `y = A sin 2pi ((t)/(T) - (x)/(lamda))`, we get
`A = 1m, and n = (1)/(0.025) = 40 Hz`