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The figure below shows an electromagnetic plane wave traveling through space and incident upon a volume element (AΔx) in the path of the wave.

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The electric field part of the electromagnetic wave is given by

E = (3.00 N/c) sin[(3.00 m-1)x - (9.00 × 108 s-1)t]j

Determine the following:

1
Direction of propagation of the wave
2
Wave number for the wave
3
Wavelength of the wave
4
Angular frequency of the wave
5
Linear frequency of the wave
6
Speed of propagation of the wave
7
Maximum value of the electric field part of the wave
8
Maximum value of the magnetic field part of the wave
9
The rms value of the electric field part of the wave
10
The rms value of the magnetic field part of the wave
11
Maximum energy density associated with the electric field part of the wave
12
Maximum energy density associated with the magnetic field part of the wave
13
Maximum total energy density of the wave
14
Average energy density associated with the electric field part of the wave
15
Average energy density associated with the magnetic field part of the wave
16
Average total energy density of the wave
17
Maximum intensity of the wave
18
Average intensity of the wave
19
Plane of polarization of the wave

If this electromagnetic wave is incident normally and uniformly on the 1.00 × 10-2 m2 surface and is totally absorbed, determine the following:

20
Average power of the beam of light
21
Radiation pressure exerted by the light on the area due to absorption
22
Force exerted on the area due to absorption

If the light is totally reflected, determine the following:

23
Radiation pressure exerted by the light on the area due to reflection
24
Force exerted on the area due to reflection

If the material in the volume AΔx has an index or refraction of 1.20, determine the following:

25
Speed which the wave travels through this material
26
Wavelength of the wave as it travels through this material

Unpolarized light of intensity Io is incident on a stack of three polarizers that have an angle of 45.0° between the directions of polarization of each successive polarizer. Determine the following:

27
Intensity of light after the first polarizer
28
Intensity of light after the second polarizer
29
Intensity of light after the third polarizer







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