Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 34, Problem 63PQ
(a)
To determine
The intensity of polarized light after passing the filters.
(b)
To determine
The intensity of polarized light after passing the filters.
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I am having trouble understanding this question and the calculations that follow.
A beam of unpolarized light of intensity 12.2 mW/m^2 falls at normal incidence on a polarizing sheet.
a. Find the maximum value of the electric field of the transmitted beam after this first sheet.
b. Calculate the radiation pressure exerted on the polarizing sheet.
c. Now there are two more polarizing sheets placed downstream of the first sheet, each one has its transmission axis arranged at 45 degrees with respect to the previous sheet’s transmission axis. What is the intensity of the transmitted light after all three sheets?
Any help to solve this question, would be greatly appreciated! :)
A beam of unpolarized light of intensity 12.2 mW/m2 falls at normal incidence on a polarizing sheet.a. Find the maximum value of the electric field of the transmitted beam after this first sheet.b. Calculate the radiation pressure exerted on the polarizing sheet.c. Now there are two more polarizing sheets placed downstream of the first sheet, each onehas its transmission axis arranged at 45 degrees with respect to the previous sheet’stransmission axis. What is the intensity of the transmitted light after all three sheets?
Some unpolarized light has an intensity of 1315 W/m2 before passing through three polarizing filters. The transmission axis of the first filter is vertical. The second filter's transmission axis is 24.0° from vertical. The third filter's transmission axis is 38.0° from vertical. What is the intensity of the light that emerges from the three filters?
Chapter 34 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 34.1 - Prob. 34.1CECh. 34.2 - Prob. 34.2CECh. 34.4 - The electric part of an electromagnetic wave is...Ch. 34.5 - Prob. 34.4CECh. 34.5 - Prob. 34.5CECh. 34.6 - Prob. 34.6CECh. 34.8 - Prob. 34.7CECh. 34 - Prob. 1PQCh. 34 - Prob. 2PQCh. 34 - A circular coil of radius 0.50 m is placed in a...
Ch. 34 - Prob. 4PQCh. 34 - A solenoid with n turns per unit length has radius...Ch. 34 - Prob. 6PQCh. 34 - Prob. 7PQCh. 34 - Prob. 8PQCh. 34 - Prob. 9PQCh. 34 - Prob. 10PQCh. 34 - Prob. 11PQCh. 34 - Prob. 12PQCh. 34 - Prob. 13PQCh. 34 - Prob. 14PQCh. 34 - Prob. 15PQCh. 34 - Prob. 16PQCh. 34 - Prob. 17PQCh. 34 - Prob. 18PQCh. 34 - Prob. 19PQCh. 34 - Prob. 20PQCh. 34 - Ultraviolet (UV) radiation is a part of the...Ch. 34 - Prob. 22PQCh. 34 - What is the frequency of the blue-violet light of...Ch. 34 - Prob. 24PQCh. 34 - Prob. 25PQCh. 34 - Prob. 26PQCh. 34 - WGVU-AM is a radio station that serves the Grand...Ch. 34 - Suppose the magnetic field of an electromagnetic...Ch. 34 - Prob. 29PQCh. 34 - Prob. 30PQCh. 34 - Prob. 31PQCh. 34 - Prob. 32PQCh. 34 - Prob. 33PQCh. 34 - Prob. 34PQCh. 34 - Prob. 35PQCh. 34 - Prob. 36PQCh. 34 - Prob. 37PQCh. 34 - Prob. 38PQCh. 34 - Prob. 39PQCh. 34 - Prob. 40PQCh. 34 - Prob. 41PQCh. 34 - Prob. 42PQCh. 34 - Prob. 43PQCh. 34 - Prob. 44PQCh. 34 - Prob. 45PQCh. 34 - Prob. 46PQCh. 34 - Prob. 47PQCh. 34 - Prob. 48PQCh. 34 - Prob. 49PQCh. 34 - Prob. 50PQCh. 34 - Prob. 51PQCh. 34 - Prob. 52PQCh. 34 - Optical tweezers use light from a laser to move...Ch. 34 - Prob. 54PQCh. 34 - Prob. 55PQCh. 34 - Prob. 57PQCh. 34 - Prob. 58PQCh. 34 - Prob. 59PQCh. 34 - Prob. 60PQCh. 34 - Some unpolarized light has an intensity of 1365...Ch. 34 - Prob. 62PQCh. 34 - Prob. 63PQCh. 34 - Prob. 64PQCh. 34 - Unpolarized light passes through three polarizing...Ch. 34 - The average EarthSun distance is 1.00 astronomical...Ch. 34 - Prob. 67PQCh. 34 - Prob. 68PQCh. 34 - Prob. 69PQCh. 34 - Prob. 70PQCh. 34 - Prob. 71PQCh. 34 - Prob. 72PQCh. 34 - Prob. 73PQCh. 34 - Prob. 74PQCh. 34 - CASE STUDY In Example 34.6 (page 1111), we...Ch. 34 - Prob. 76PQCh. 34 - Prob. 77PQCh. 34 - Prob. 78PQCh. 34 - Prob. 79PQCh. 34 - Prob. 80PQCh. 34 - Prob. 81PQCh. 34 - Prob. 82PQCh. 34 - Prob. 83PQCh. 34 - In Section 34-1, we summarized classical...
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- In Figure P37.52, suppose the transmission axes of the left and right polarizing disks are perpendicular to each other. Also, let the center disk be rotated on the common axis with an angular speed . Show that if unpolarized light is incident on the left disk with an intensity Imax, the intensity of the beam emerging from the right disk is I=116Imax(1cos4t) This result means that the intensity of the emerging beam is modulated at a rate four times the rate of rotation of the center disk. Suggestion: Use the trigonometric identities cos2=12(1+cos2) and sin2=12(1cos2). Figure P37.52arrow_forward(a) What is the ratio of the speed of red light to violet light in diamond, based on Table 1.2? (b) What is this ratio in polystyrene? (c) Which is more dispersive?arrow_forwardThe 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 ?arrow_forward
- (a) Light reflected at 62.5° from a gemstone in a ring is completely polarized. Can the gem be a diamond? (b) At what angle would the light be completely polarized if the gem was in water?arrow_forward(a) What is the frequency of the 193-nm ultraviolet radiation used in laser eye surgery? (b) Assuming the accuracy with which this electromagnetic radiation can ablate (reshape) the cornea is directly proportional to wavelength, how much more accurate can this UV radiation be than the shortest visible wavelength of light?arrow_forward(a) On a day when the intensity of sunlight is 1.00kW/m2 , a circular lens 0.200 m in diameter focuses light onto water in a black beaker. Two polarizing sheets of plastic are placed in front of the lens with their axes at an angle of 20.0°. Assuming the sunlight is unpolarized and the polarizers are 100% efficient, what is the initial rate of heating of the water in °C/s, assuming it is 80.0% absorbed? The aluminum beaker has a mass of 30.0 grams and contains 250 grams of water. (b) Do the polarizing filters get hot? Explain.arrow_forward
- Unpolarized light in vacuum is incident onto a sheet of glass with index of refraction n. The reflected and refracted rays are perpendicular to each other. Find the angle of incidence. This angle is called Brewsters angle or the polarizing angle. In this situation, the reflected light is linearly polarized, with its electric field restricted to be perpendicular to the plane containing the rays and the normal.arrow_forwardFigure P24.13 shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 50.0 m and the electric field vibrates in the xy plane with an amplitude of 22.0 V/m. Calculate (a) the frequency of the wave and (b) the magnetic field B when the electric field has its maximum value in the negative y direction. (c) Write an expression for B with the correct unit vector, with numerical values for Bmax, k, and , and with its magnitude in the form B=Bmaxcos(kxt) Figure P24.13 Problems 13 and 64.arrow_forwardIn order to rotate the polarization axis of a beam of linearly polarized light by 90.00, a student places sheets P1 and P, with their transmission axes at 45.0° 90.0°, respectively, to the beam’s axis of polarization. (a) What fraction of the incident light passes through P1 and(b) through the combination? (C) Repeat your calculations for part (b) for transmission-axis angles of 30.00 and 90.0 , respectively.arrow_forward
- A.) Polarized light is incident on 6 polarizing sheets. The axis of the first polarized sheet makes an angle 0 with the plane of polarization. Each subsequent sheet has an axis that is rotated by an angle e from that of adjacent sheets. Find e if 34% of the incident intensity is transmitted by the sheets. B.) Suppose you want to rotate the plane of polarization of a beam of polarized light by 78°, but you do not want the final intensity to be less than 53% of the initial intensity. What is the minimum number of polarizing sheets you must use? Assume that each sheet is rotated the same angle relative to the adjacent sheets. sheetsarrow_forward59. T Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in Figure P24.59. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I; = 10.0 units (arbitrary). Calculate the transmitted intensity If when 0₁ = 20.0°, 0₂ = 40.0°, and 03 = 60.0°. Hint: Make repeated use of Malus' law. Figure P24.59 Problems 59 and 70. I; 0₁ 0₂ 0₂arrow_forwardStart with light that is initially polarized parallel to the x axis sent into a system of three polarizing sheets. a. If we rotate the polarizing direction of the first sheet to 60o counterclockwise, what is the ratio of its final intensity I3 to its initial intensity I0 as I3/I0 from what is shown? b. If we rotate the polarizing direction of the first sheet to 90o counterclockwise, what is the ratio of its final intensity I3 to its initial intensity I0 as I3/I0 from what is shown? Answer are given as (I3/I0 (a); I3/I0(b))arrow_forward
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Polarization of Light: circularly polarized, linearly polarized, unpolarized light.; Author: Physics Videos by Eugene Khutoryansky;https://www.youtube.com/watch?v=8YkfEft4p-w;License: Standard YouTube License, CC-BY