A horizontal beam of unpolarized light is incident on a set of 4 polarizing filters. The first filter has its transmission axis pointing up. The second filter has its transmission axis rotated 30° Clockwise from the vertical. The third filter has its transmission axis rotated 60° Clockwise from the vertical. And the fourth filter has its transmission axis rotated 90° Clockwise from the vertical. a) What percentage of the unpolarized light intensity gets through the stack of 4 filters? b) The first and fourth filters are now swapped. What percentage of the unpolarized light intensity gets through the stack of 4 filters?

A horizontal beam of unpolarized light is incident on a set of 4 polarizing filters. The first filter has its transmission axis pointing up. The second filter has its transmission axis rotated 30° Clockwise from the vertical. The third filter has its transmission axis rotated 60° Clockwise from the vertical. And the fourth filter has its transmission axis rotated 90° Clockwise from the vertical. a) What percentage of the unpolarized light intensity gets through the stack of 4 filters? b) The first and fourth filters are now swapped. What percentage of the unpolarized light intensity gets through the stack of 4 filters?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 63PQ

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Unpolarized light passes through three polarizing filters. The first filter has its transmission axis parallel to the z direction, the second has its transmission axis at an angle of 30.0 from the z direction, and the third has its transmission axis at an angle of 60.0 from the z direction. If the light that emerges from the third filter has an intensity of 250.0 W/m2, what is the original intensity of the light?
If plane polarized light is sent through two polarizers, the first at 45 to the original plane of polarization and the second at 90 to the original plane of polarization, what fraction of the original polarized intensity passes through the last polarizer? (a) 0 (b) 14 (c) 12 (d) 18 (e) 110
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If a polarizing filter reduces the intensity of polarized light to 50.0% of its original value, by how much are the electric and magnetic fields reduced?
To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
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You use a sequence of ideal polarizing filters, each with its axis making the same angle with the axis of the previous filter, to rotate the plane of polarization of a polarized light beam by a total of 45.0. You wish to have an intensity reduction no larger than 10.0%. (a) How many polarizers do you need to achieve your goal? (b) What is the angle between adjacent polarizers?
The light incident on polarizing sheet P1is linearly polarized at an angle of 30.00 with respect to the transmission axis of P1 Sheet P2is placed so that its axis is parallel to the polarization axis of the incident light, that is, also at 30.0° with respect to P1 . (a) What fraction of the incident light passes through P1 ? (b) What fraction of the incident light is passed by the combination? (c) By rotating P2 , a maximum in transmitted intensity is obtained. What is the ratio of this maximum intensity to the intensity of transmitted light when P2 is at 30.0° with respect to P1 ?