Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 24, Problem 46P
To determine
To show that the intensity of light emerging from the right disk is
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An unpolarized beam of light is incident on a series of two polarizers whose polarization axes form 30°. If the intensity of the incident light is 40 W/cm2, what will its intensity be after passing through the second polarizer?
a. (120/√2) W/cm2
b. 40 W/cm2
c. 30 W/cm2
d. 20 W/cm2
e. 15 W/cm2
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 I1 = 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’s law.
A beam of initially unpolarized light of intensity 531 W/m^2 passes through two polarizing filters in sequence, emerging from the second filter with an intensity of 175 W/m^2. What is the angle between the axes of the first and second filters?
17.9 degrees
35.7 degrees
55.0 degrees
66.1 degrees
Chapter 24 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 24.1 - Prob. 24.1QQCh. 24.4 - Prob. 24.2QQCh. 24.4 - Prob. 24.3QQCh. 24.4 - Prob. 24.4QQCh. 24.6 - Prob. 24.5QQCh. 24.6 - Prob. 24.6QQCh. 24.7 - Prob. 24.7QQCh. 24 - Prob. 1OQCh. 24 - Prob. 2OQCh. 24 - Prob. 3OQ
Ch. 24 - If plane polarized light is sent through two...Ch. 24 - Prob. 5OQCh. 24 - Prob. 6OQCh. 24 - Prob. 7OQCh. 24 - Prob. 9OQCh. 24 - Prob. 10OQCh. 24 - Prob. 11OQCh. 24 - Consider an electromagnetic wave traveling in the...Ch. 24 - Prob. 1CQCh. 24 - Prob. 2CQCh. 24 - Prob. 3CQCh. 24 - Prob. 4CQCh. 24 - Prob. 5CQCh. 24 - Prob. 6CQCh. 24 - Prob. 7CQCh. 24 - Prob. 8CQCh. 24 - Prob. 9CQCh. 24 - Prob. 10CQCh. 24 - Prob. 11CQCh. 24 - Prob. 12CQCh. 24 - Prob. 1PCh. 24 - Prob. 2PCh. 24 - Prob. 3PCh. 24 - A 1.05-H inductor is connected in series with a...Ch. 24 - Prob. 5PCh. 24 - Prob. 6PCh. 24 - Prob. 7PCh. 24 - An electron moves through a uniform electric field...Ch. 24 - Prob. 9PCh. 24 - Prob. 10PCh. 24 - Prob. 11PCh. 24 - Prob. 12PCh. 24 - Figure P24.13 shows a plane electromagnetic...Ch. 24 - Prob. 14PCh. 24 - Review. A microwave oven is powered by a...Ch. 24 - Prob. 16PCh. 24 - A physicist drives through a stop light. When he...Ch. 24 - Prob. 18PCh. 24 - Prob. 19PCh. 24 - A light source recedes from an observer with a...Ch. 24 - Prob. 21PCh. 24 - Prob. 22PCh. 24 - Prob. 23PCh. 24 - Prob. 24PCh. 24 - Prob. 25PCh. 24 - Prob. 26PCh. 24 - Prob. 27PCh. 24 - Prob. 28PCh. 24 - Prob. 29PCh. 24 - Prob. 30PCh. 24 - Prob. 31PCh. 24 - Prob. 32PCh. 24 - Prob. 33PCh. 24 - Prob. 34PCh. 24 - Prob. 35PCh. 24 - Prob. 36PCh. 24 - Prob. 37PCh. 24 - Prob. 38PCh. 24 - Prob. 39PCh. 24 - Prob. 40PCh. 24 - Prob. 41PCh. 24 - Prob. 42PCh. 24 - Prob. 43PCh. 24 - Prob. 44PCh. 24 - Prob. 45PCh. 24 - Prob. 46PCh. 24 - Prob. 47PCh. 24 - Prob. 48PCh. 24 - You use a sequence of ideal polarizing filters,...Ch. 24 - Prob. 50PCh. 24 - Prob. 51PCh. 24 - Figure P24.52 shows portions of the energy-level...Ch. 24 - Prob. 53PCh. 24 - Prob. 54PCh. 24 - Prob. 55PCh. 24 - Prob. 56PCh. 24 - Prob. 57PCh. 24 - Prob. 58PCh. 24 - Prob. 59PCh. 24 - Prob. 60PCh. 24 - Prob. 61PCh. 24 - Prob. 62PCh. 24 - A dish antenna having a diameter of 20.0 m...Ch. 24 - Prob. 65PCh. 24 - Prob. 66PCh. 24 - Prob. 67PCh. 24 - Prob. 68PCh. 24 - Prob. 69PCh. 24 - Prob. 70PCh. 24 - Prob. 71PCh. 24 - A microwave source produces pulses of 20.0-GHz...Ch. 24 - A linearly polarized microwave of wavelength 1.50...Ch. 24 - Prob. 74PCh. 24 - Prob. 75P
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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_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_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_forward
- Figure 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_forwardFor each of the three sheets of polarizing material shown in the drawing, the orientation of the transmission axis is labeled relative to the vertical. The incident beam of light is unpolarized and has an intensity of 1190 W/m². What is the intensity of the beam transmitted through the three sheets when θ1 = 19.0°, θ2 = 66.5° and θ3 = 100.0° ?arrow_forwardLight of intensity I0 is polarized vertically and is incident on an analyzer rotated at an angle u from the vertical. Find the angle u if the transmitted light has intensity (a) I = (0.750)I0, (b) I = (0.500)I0, (c) I = (0.250)I0, and (d) I = 0.arrow_forward
- Light with a vertical polarization and an intensity of 0.65 W/m2 goes through a polarizer having a transmission axis at an angle of 29.0° with the vertical. Find the intensity of the transmitted light. Group of answer choices 1.64 W/m2 0.316 W/m2 0.497 W/m2 0.165 W/m2arrow_forwardA ray of light strikes a flat block of glass at an incidence angle of ?1 = 38.6°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.52. a.) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? b.) At what speed (in m/s) does the light travel within the glass? c.) How many nanoseconds does the light take to pass through the glass along the angled path shown here?arrow_forwardAn unpolarized beam of light with an intensity of 6000 W/m2 is incident on two ideal polarizing sheets. If the emerging light has an intensity 0.400 times the original intensity of the incident beam, what is the angle between the two polarizers? Select answer from the options below 0.464 rad 1.47 rad 0.412 rad 1.37 radarrow_forward
- Two laser beams with wavelengths λ1=596 nm and λ;2=574 nm are aimed at the same point. The electric field from each laser in the y-direction behaves as the function, Ei,y(x,t)=A(sin2πfit−2πxλi) for i=1 or 2, and they propagate at a speed of light c. Both fields have the same amplitude, A=1 N/C. Find the value of the total electric field in the y-direction Ey, in newtons per coulomb, at a time of exactly one femtosecond (10−15 seconds) if the position the lasers is aimed at is exactly 100 nanometers away from each laser.arrow_forwardPlane-polarized light is incident on a single polarizing disk, with the direction of E0 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) 2.55 (b) 4.05 (c) 6.4arrow_forwardOne way to produce a beam of polarized light with intensity I and polarization angle θ would be to pass unpolarized light with intensity I0 through a polarizer whose transmission axis is oriented such that θTA=θ. How large must I0 be if the transmitted light is to have intensity I? Express your answer as a decimal number times the symbol I. For example, if I0=(1/4)I, enter 0.25 * I.arrow_forward
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