A beam of natural light passes through two polarizing filters. a) Determine the angle between the polarizing directions of the two polarizing filters when the light intensity becomes 1/3 of its original value after the propagation. b) Supposed that the incident beam now contains both natural light and a linearly polarized light. One of the polarizing filters is removed. The other filter is aligned at an angle such that the intensity of the transmitted beam is maximized. If we then rotate the polarizing filter through 60° , the intensity of the transmitted beam is reduced by 50% compared to the maximum value. What fraction of the original beam is associated with the beam's polarized light?

Question
A beam of natural light passes through two polarizing filters.
a)
Determine the angle between the polarizing directions of the two polarizing filters
when the light intensity becomes 1/3 of its original value after the propagation.
b) Supposed that the incident beam now contains both natural light and a linearly
polarized light. One of the polarizing filters is removed. The other filter is aligned at
an angle such that the intensity of the transmitted beam is maximized. If we then rotate
the polarizing filter through 60° , the intensity of the transmitted beam is reduced by
50% compared to the maximum value. What fraction of the original beam is
associated with the beam's polarized light?

Image Transcription

A beam of natural light passes through two polarizing filters. a) Determine the angle between the polarizing directions of the two polarizing filters when the light intensity becomes 1/3 of its original value after the propagation. b) Supposed that the incident beam now contains both natural light and a linearly polarized light. One of the polarizing filters is removed. The other filter is aligned at an angle such that the intensity of the transmitted beam is maximized. If we then rotate the polarizing filter through 60° , the intensity of the transmitted beam is reduced by 50% compared to the maximum value. What fraction of the original beam is associated with the beam's polarized light?

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