A plane electromagnetic wave propagating in the x-direction has wavelength of `6.0 mm`. The electric field is in the y-direction and its maximum magnitude of `33 Vm^(-1)`. The equation for the electric field as function of x and l is

Options

A. `11sin[pi(t-(x)/(c))]`
B. `33sin[pixx10^(11)(t-(x)/(c))]`
C. `33sin[pi(t-(x)/(c))]`
D. `11sin[pixx10^(11)(t-(x)/(c))]`

Answer

B

Explanation

`Omega =2pi upsilon=(2pic)/(lambda)=(2pixx3xx10^(8))/(6xx10^(-3))=pixx10^(11)"rad/s"`
The equation for the electric field, along y - axis in the electromagnetic wave is given by
`E_(y)=E_(0)sin omega(t-(x)/(c))=33sin[pixx10^(11)(t-(x)/(c))]`