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

Answer

B

Explanation

Angular frequnecy, `omega = 2piv = (2pic)/(lambda) [:' v = c//lambda]`
`= (2pi xx 3 xx 10^(8))/(6 xx 10^(-3)) = pi xx 10^(11) "rad"^(-1)`
The equation for the electric field, along `Y` axis in the electromagnetic wave is
` E_(y) - E_(0) sinomega(t - (x)/(c)) = 33 sin pi xx 10^(11) (t - x//c)`