The electric-field component of a sinusoidal electromagnetic wave traveling through a plastic cylinder is given by the equation E = (5.35 V/m) cos[( 1.39 × 107 rad/m)x − (3.02 × 1015 rad/s)t]. (a) Find the frequency, wavelength, and speed of this wave in the plastic. (b) What is the index of refraction of the plastic? (c) Assuming that the amplitude of the electric field does not change, write a comparable equation for the electric field if the light is traveling in air instead of in plastic.
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