A plane electromagnetic wave propagating in the x-direction has wavelength of `60` mm. The electric field is in the y-direction and its maximum magnitude is `33 V//m^(-1)`.The equation for the electric field as function of x and t is:

Options

A. `11 sin pi (t - x//c)`
B. `33 sin pi xx 10^(10) (t - x//c)`
C. `33 sin pi (t - x//c)`
D. `11 sin pi xx 10^(10) (t - x//c)`

Answer

B

Explanation

`omega = 2pi v = (2 pi c)/(lambda) = (2pi xx 3 xx 10^(8))/(60 xx 10^(-3)) = 10^(10) pi ` rad/s
`E_(y) = E_(0) sin omega (t - (x)/(c ) ) = 33 sin pi xx 10^(10)`(t - x/c)