Physics For Scientists And Engineers
6th Edition
ISBN: 9781429201247
Author: Paul A. Tipler, Gene Mosca
Publisher: W. H. Freeman
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Chapter 31, Problem 61P
(a)
To determine
The intensity of transmitted light.
(b)
To determine
The comparison of the intensity.
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Initially 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).
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Express your answer as a percentage, to at least one digit after the decimal.
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.
Unpolarized light is incident on a sequence of 60 polarizers. the transmission axis of each polarizer is pivoted the same angle, θ, with respect to the transmission axis of the pervious polarizer. if only 2% of the intensity of the original incident intensity is present at the very end of the sequence, what percent of the initial incident intensity is present between the 45th and 46th polarizer?
Chapter 31 Solutions
Physics For Scientists And Engineers
Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5PCh. 31 - Prob. 6PCh. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10P
Ch. 31 - Prob. 11PCh. 31 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - Prob. 14PCh. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - Prob. 29PCh. 31 - Prob. 30PCh. 31 - Prob. 31PCh. 31 - Prob. 32PCh. 31 - Prob. 33PCh. 31 - Prob. 34PCh. 31 - Prob. 35PCh. 31 - Prob. 36PCh. 31 - Prob. 37PCh. 31 - Prob. 38PCh. 31 - Prob. 39PCh. 31 - Prob. 40PCh. 31 - Prob. 41PCh. 31 - Prob. 42PCh. 31 - Prob. 43PCh. 31 - Prob. 44PCh. 31 - Prob. 45PCh. 31 - Prob. 46PCh. 31 - Prob. 47PCh. 31 - Prob. 48PCh. 31 - Prob. 49PCh. 31 - Prob. 50PCh. 31 - Prob. 51PCh. 31 - Prob. 52PCh. 31 - Prob. 53PCh. 31 - Prob. 54PCh. 31 - Prob. 55PCh. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - Prob. 58PCh. 31 - Prob. 59PCh. 31 - Prob. 60PCh. 31 - Prob. 61PCh. 31 - Prob. 62PCh. 31 - Prob. 63PCh. 31 - Prob. 64PCh. 31 - Prob. 65PCh. 31 - Prob. 66PCh. 31 - Prob. 67PCh. 31 - Prob. 68PCh. 31 - Prob. 69PCh. 31 - Prob. 70PCh. 31 - Prob. 71PCh. 31 - Prob. 72PCh. 31 - Prob. 73PCh. 31 - Prob. 74PCh. 31 - Prob. 75PCh. 31 - Prob. 76PCh. 31 - Prob. 77PCh. 31 - Prob. 78PCh. 31 - Prob. 79PCh. 31 - Prob. 80PCh. 31 - Prob. 81PCh. 31 - Prob. 82PCh. 31 - Prob. 83PCh. 31 - Prob. 84P
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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_forwardIn Figure (a) below, unpolarized light is sent into a system of two polarizing sheets. The angles 01 and 02 of the polarizing directions of the sheets are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale in the figure). Angle 01 is fixed but angle 02 can be varied. Figure (b) gives the intensity of the light emerging from sheet 2 as a function of 02. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the two-sheet system when 02 = 112°? -x- 0. 90° 180° (a) (b) Number i 43 Units percentarrow_forwardPlane-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_forward
- Suppose 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_forwardAn incident light of intensity 2.5 Io is polarized by an analyzer rotated at a certain angle from the first axis of polarization. If the intensity of the transmitted light through the analyzer with respect to I0 is zero, in what angle was the analyzer oriented?arrow_forwardThe 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_forward
- Three polarizing sheets are placed together such that the transmission axis of the second sheet is oriented at 15 deg to the axis of the first, whereas the transmission axis of the third sheet is oriented at 80 deg (in the same sense) to the axis of the first. What fraction of the intensity of an incident unpolarized beam is transmitted by the combination? Fraction of the intensity of an incident unpolarized beam transmitted =arrow_forwardIn Figure (a) below, unpolarized light is sent into a system of three polarizing sheets.The angles 0₁, 02, and 83 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 0₁ and 83 are fixed, but angle 82 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 0₂. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the three-sheet system when 82 = 92⁰? Number Units 60° (b) 120° 180-arrow_forwardIn Figure (a) below, unpolarized light is sent into a system of three polarizing sheets. The angles 01, 02, and 03 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 01 and 03 are fixed, but angle 02 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 02. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the system when 02 = 48°? M. 90° 180° (a) (b)arrow_forward
- In Figure (a) below, unpolarized light is sent into a system of three polarizing sheets. The angles 01, 82, and 03 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 01 and 63 are fixed, but angle 02 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 62. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the system when 02 44°? I 0° 90° 180° (a) (b) Number Units the tolerance is +/-5%arrow_forwardA beam of initially unpolarized light is sent through two polarizing sheets placed one on top of the other. What must be the angle between the polarizing directions of the sheets if the intensity of the transmitted light is to be one-third the incident intensity?arrow_forwardPlane-polarized light is incident on a single polarizing disk, with the direction of E. 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 factor of each of the following? (a) 2.05 (b) 4.40 (c) 6.2 O O Oarrow_forward
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