Halliday, Resnick & Walker — Electromagnetic Waves: Problem 35

35 A plane electromagnetic wave, with wavelength 5.0 m, travels in vacuum in the positive direction of an x axis. The electric field, of amplitude 215 V/m, oscillates parallel to the y axis. What are (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate? (f) What is the time-averaged rate of energy flow in watts per square meter associated with this wave? The wave uniformly illuminates a surface of area 2.0 m². If the surface totally absorbs the wave, what are (g) the rate at which momentum is transferred to the surface and (h) the radiation pressure on the surface?