The equation of the progressive wave is `y = 3 sin[pi(t/3-x/5)+pi/4]` , where x and y are in metre and time in second. Which of the following is correct.

Options

A. Velocity `v = 1.5` m/s
B. Amplitude `A = 3` cm
C. Frequency `f = 0.2 Hz`
D. Wavelength `lambda = 10 `m

Answer

D

Explanation

Compare the given equation with the standard equation of wave motion,
`Y = A sin[2pi(t/T - x/lambda) + pi/4]`
where , A and `lambda` are amplitude and wavelength respectively.
Amplitude , `A = 3m`
Wavelegth, `lambda = 10m`.