Problem 1: There are three aligned polarizers. The 2nd polarizer is 20° to the 1st and the 3rd is 30ºto the 2nd. If unpolarized light falls on them, what fraction of the light intensity is transmitted?

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Problem 1: There are three aligned polarizers. The 2nd polarizer is 20° to the 1st and the 3rd is 30⁰ to the 2nd. If unpolarized light falls on them, what fraction of the light intensity is transmitted?

Problem 1: There are three aligned polarizers. The 2nd polarizer is 20° to the 1st and the 3rd is 30⁰ to the 2nd. If unpolarized light falls on them, what fraction of the light intensity is transmitted?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter27: Wave Optics

Section: Chapter Questions

Problem 87PE: What angle would the axis of a polarizing filter need to make with the direction of polarized light...

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Problem 1: There are three aligned polarizers. The 2nd polarizer is 20° to the 1st and the 3rd is 30º
to the 2nd. If unpolarized light falls on them, what fraction of the light intensity is transmitted?

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Three polarizing sheets are placed together such that the transmission axis of the second sheet is oriented at 25.0° to the axis of the first, whereas the transmission axis of the third sheet is oriented at 40.0° (in the same sense) to the axis of the first. What fraction of an intensity of an incident unpolarized beam is transmitted by the combination?
Show that if you have three polarizing filters, with the second at an angle of 45.0to the first and at third at an angle of 90.0to the first, the intensity of light passed by the first will be reduced to 25.0% of its value. (This is in contrast to having only the first and third, which reduces the intensity to zero, so that placing the second between them increases the intensity of the transmitted light.)
If you have completely polarized light of intensity 150 W/m2 , what will its intensity be after passing through a polarizing filter with its axis at an 89.0 angle to the light’s polarization direction?
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 ?
Prove that if I is the intensity of light transmitted by two polarizing filters with axes at an angle and I’ is the intensity when the axes are at an angle 90.0, then I+I=I0, the original intensity. (Hint: Use the trigonometric identities cos 90.0=sinand cos2sin2=1 .)
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?
Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.378. (b) What If? If the temperature of the filter increases above the normal value, increasing its thickness, what happens to the transmitted wavelength? (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light.
What angle would the axis of a polarizing filter need to make with the direction of polarized light of intensity 1.00kW/m2 to reduce the intensity to 10.0 W/m2?
An unpolarized beam of light is incident on a stack of ideal polarizing filters. The axis of the first filter is perpendicular to the axis of the last filter in the stack. Find the fraction by which the transmitted beams intensity is reduced in the three following cases. (a) Three filters are in the stack, each with its transmission axis at 45.0 relative to the preceding filter. (b) Four filters are in the stack, each with its transmission axis at 30.0 relative to the preceding filter. (c) Seven filters are in the stack, each with its transmission axis at 15.0 relative to the preceding filter. (d) Comment on comparing the answers to parts (a), (b), and (c).
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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