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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Some unpolarized light has an intensity of 1415 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 46.0° from vertical. What is the intensity of the light that emerges from the three filters? W/m2
(a) What is in V/m the maximum electric field for a completely polarized light has an intensity of 180 W/m2?
b)What is in T the maximum magnetic field of that light?
c) What will the maximum electric field of the light be in V/m after it passes through a linearly polarizing filter with its axis at an 30.0° angle to the light’s polarization direction?
d) What will the intensity of the light be after it passes through a linearly polarizing filter with its axis at an 30.0° angle to the light’s polarization direction?
e) What is in J/m3 the average energy density ⟨u|u⟩ of the light after it passes the polarizing filter?
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_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) 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_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_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_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 linearly polarized microwave of wavelength 1.50 cm is directed along the positive x axis. The electric field vector has a maximum value of 175 V/m and vibrates in the xy plane. Assuming the magnetic field component of the wave can be written in the form B = Bmax sin (kx t), give values for (a) Bmax, (b) k, and (c) . (d) Determine in which plane the magnetic field vector vibrates. (e) Calculate the average value of the Poynting vector for this wave. (f) If this wave were directed at normal incidence onto a perfectly reflecting sheet, what radiation pressure would it exert? (g) What acceleration would be imparted to a 500-g sheet (perfectly reflecting and at normal incidence) with dimensions of 1.00 m 0.750 m?arrow_forwardUnpolarized 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_forwardYou 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?arrow_forward
- 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?arrow_forwardA linearly polarized microwave of wavelength 1.50 cm is directed along the positive x axis. The electric field vector has a maximum value of 175 V/m and vibrates in the xy plane. Assuming the magnetic field component of the wave can be written in the form B = Bmax sin (kx t), give values for (a) Bmax, (b) k, and (c) .(d) Determine in which plane the magnetic field vector vibrates. (e) Calculate the average value of the Poynting vector for this wave. (f) If this wave were directed at normal incidence onto a perfectly reflecting sheet, what radiation pressure would it exert? (g) What acceleration would be imparted to a 500-g sheet (perfectly reflecting and at normal incidence) with dimensions of 1.00 m 0.750 m?arrow_forwardUnpolarized 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?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