Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 31, Problem 57P
To determine
The expression for intensity of transmitted light.
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Polarized light is incident on 7 polarizing sheets. the axis of the first polarized sheet makes an agle theta with the plane of polarization. each subsequent sheet has an axis that is rotated by an angle theta from that of adjacent sheets. find theta if 91% of the incident intensity is transmitted by the sheets.
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10. Three polarizing disks have planes that are parallel and centered on a common axis. The direction of the transmission
axis (dashed line) in each case is shown relative to the common vertical direction. A polarized beam of light (with its axis
of polarization parallel to the horizontal reference direction) is incident from the left on the first disk with intensity S, =
820 W/m2. Calculate the transmitted intensity if 0₁ = 21.0°, 0₂ = 34.0°, and 03 = 44.0°.
X 658.06 W/m²
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92
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Horizontal
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Two polarizing sheets have their transmission axes crossed (90° to one another) and a third sheet is inserted between the two. Unpolarized light of intensity Io is incident on the first sheet. The middle sheet is then rotated with an angular speed ω about an axis parallel to the light beam. Find the intensity transmitted through all three sheets as a function of time. Assume that θ = 0 at time t = 0.
Chapter 31 Solutions
Physics for Scientists and Engineers
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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?arrow_forwardIf 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?arrow_forwardThree 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?arrow_forward
- Plane-polarized light is incident on a single polarizing disk with the direction of hE0 parallel to the direction of the transmission axis. Through what angle should the disk be rotated so that the intensity in the transmitted beam is reduced by (a) 25% (b) 50% and (c) 75%?arrow_forwardA system of three polarizing sheets is placed in the path of initially unpolarized light. The polarizing direction of the first sheet, P1, is parallel to the y-axis, that of the second sheet, P2, is 60o counterclockwise from the y-axis, and that of the third sheet, P3, is parallel to the x-axis. Determine the fraction of the initial intensity Io of the light emerges from the system, i.e. ratio I0/I3. A. 0.092 B. 3.19 C. 10.9 D. 6.66arrow_forwardSuppose the incident beam of light islinearly polarized in the vertical direction. In addition, the transmission axis of the analyzer is at an angle of 80.0° to the vertical.What angle should the transmission axis of the polarizer makewith the vertical if the transmitted intensity is to be a maximum?arrow_forward
- A system of three polarizing sheets intercepts a beam of initially unpolarized light. The polarizing direction of the first sheet is parallel to the y-axis, that of the second sheet is at an angle of 0 counterclockwise from the y-axis and that of the third sheet is parallel to the x-axis. The intensity of light emerging from the three-sheet system is 11.52% of the original intensity Io. Determine the angle 0. In which direction is the emerging light polarized?arrow_forwardPlane-polarized light is incident on a single polarizing disk with the direction of nE0 parallel to the direction of the transmission axis. Through what angle should the disk be rotated so that the intensity in the transmitted beam is (a) reduced by 25% (b) reduced by 50% (c) increased by 10%?arrow_forwardA parallel beam of light in air makes an angle of 45.7◦ with the surface of a glass plate having a refractive index of 1.79. (a) What is the angle between the reflected part of the beam and the surface of the glass? (b) What is the angle of the refracted part of the beam and the surface of the glass?arrow_forward
- The transmission axes of two polarizing sheets are initially parallel. Through what angle must the second sheet be rotated so that the intensity of the transmitted light is 12.5 % of the intensity of the incident unpolarized light?arrow_forwardA person riding in a boat observes that the sunlight reflectedby the water is polarized parallel to the surface of the water. Theperson is wearing polarized sunglasses with the polarization axisvertical. If the wearer leans at an angle of 21.5° to the vertical,what fraction of the reflected light intensity will pass throughthe sunglasses?arrow_forwardInitially unpolarized light is sent along the z-axis into a system of three polarizing sheets placed perpendicular to the z-axis and whose polarizing angles with respect to y-axis are 22º (first sheet), 89º (second sheet), and 56º (the last sheet). What percentage of the initial light intensity is transmitted by the system? Express your answer as a percentage, to at least one digit after the decimal.arrow_forward
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