Given the wave function (in SI units) for a wave to be `Psi_((x,t))=10^(3) sin pi (3 xx 10^(6) x- 9 xx 10^(14)t)`. The speed of wave is

Options

A. `9 xx 10^(14) ms^(-1)`
B. `3 xx 10^(8) ms^(-1)`
C. `3 xx 10^(6) ms^(-1)`
D. `3 xx 10^(7) ms^(-1)`

Answer

B

Explanation

`Psi_((x,t))= 10^(3) sin pi (3 xx 10^(6) x-9 xx 10^(14)t)=10^(3) sin 3 xx 10^(6) pi (x-3 xx 10^(8)t)`
Comparing it with the relation `Psi_((x,t))= a "sin" (2pi)/(lamda) (x- c t)`