The displacement y of a wave travelling in the x direction is given by `y=(2 xx 10^(-3)) sin(300t - 2x + pi/4)`, where x and y are measured in metres and t in second. The speed of the wave is

Options

A. `150 ms^(-1)`
B. `300 ms^(-1)`
C. `450 ms^(-1)`
D. `600 ms^(-1)`

Answer

A

Explanation

The given equation is similar to
`y= A sin { omegat-((x)/(lambda)+phi)}`
`w=300, f=(300)/(2pi)=(150)/(pi)`
Speed `v=f lambda`
`=(150)/(pi)xx=150 ms^(-1)`