If the magnetic field of a plane electromagnetic wave is given by
`5xx10^(-6)sin (0.6xx10^(2)x+0.5xx10^(10)t),` then the speed of the wave is

Options

A. `0.83xx10^(7)m//s`
B. `0.83xx10^(8)m//s`
C. `5.24xx10^(8)m//s`
D. `5.24xx10^(9)m//s`

Answer

B

Explanation

Given, `k=(2pi)/(lambda) = 0.6 xx10 ^(2)m^(-1)`
`omega = (2pi)/(T)= 0.5 xx10^(10) s^(-1)`
`rArr` Velocity, `v = omega // k = (2pi)/(T)xx(lambda)/(2pi)= (0.5xx10^(10))/(0.6xx10^(2))` `v= 0.83 xx 10 ^(8)` m/s