Amonochromatic electromagnetic plane wave propagates in vacuum in the ż-direction and is linearly polarized in the y-direction. (a) write down the fields e(x, and b(x, y..d. if the amplitude eo and ω are known. (b) the same wave is observed in frame sy' moving with velocity v-vż relative to the original inertial reference system. find the fields e(,y and b'(x'.y'.') in sy hint: can define parameter α-[(l-β) /d + β) i 1/2-y(1-β) . (c) find the frequency ω. and the wave vector k. of the wave in sy, write down the formula for the doppler effect (red shift) for the wavelength. find the group velocity of light in sy. (d) as a young man, einstein tried to visualize how an em wave would look like if the observer were to move with speed of light in the same direction, i. e., what it would look like in the rest frame of the em wave. calculate the intensity of the wave in sy, and take the limit v c what is your answer to young einstein? (imagine you have a time machine as well.)