The equation of a plane Progressive wave is Y = 1.5 sin (314t - 12.56 x) metres. Then amaximum particle velocity is :

Options

A. 25 m/s
B. 471 m/s
C. 314 m/s
D. None of these

Answer

B

Explanation

y = 1.5 sin (314 t - 12.56 x).
here r = 1.5 m, w = 314 and K = 12.56 . `m^(-1)`
max particle velocity `V_(max) = rw = 1.5 xx 314 = 471 ` m/s
hence the correct choice is (b) .