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)/lambda (x-ct)`