Physics

Problem

The electric field of a plane electromagnetic wave is given by

\vec{E} = E_0 \frac{\hat{i} + \hat{j}}{\sqrt{2}} \cos(kz + \omega t)

t = 0

, a positively charged particle is at the point

(x, y, z) = \left(0, 0, \frac{\pi}{k}\right)

. If its instantaneous velocity at

(t=0)

v_0 \hat{k}

, the force acting on it due to the wave is: a. parallel to

\frac{\hat{i} + \hat{j}}{\sqrt{2}}

b. zero c. antiparallel to

\frac{\hat{i} + \hat{j}}{\sqrt{2}}

d. parallel to

\hat{k}