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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Three polarizing plates whose planes are parallel are cen-
tered 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 inci-
dent from the left onto the first disk with intensity I; = 10.0
units (arbitrary). Calculate the transmitted intensity I, when
20.0°, 02 = 40.0°, and 03
%3D
= 60.0°. Hint: Make repeated
use of Malus' law.
02
I;
03
Figure P24.59
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.
Three polarizing disks whose planes are parallel and centred on common axis. The directions of their transmission axes relative to the vertical are respectively: θ1 = 38o clockwise, θ2 = 25o counter-clockwise, and θ3 = 12o clockwise. A beam of light polarized along the vertical is incident onto the first polarizer with an intensity of I0 = 24.0 W/m². Calculate the transmitted intensity through all three polarizers.
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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- 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_forwardIn 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_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
- The orientation of the transmission axis for three polarizing sheets is labeled relative to the vertical direction. A beam of light, polarized in the vertical direction, is incident on the first polarized with an intensity of Ii. The final intensity of the beam of light is half of the original intensity after it has passed through the three polarizing sheets . What is the value of θ3 if θ1= 10°, θ2 = 40°?arrow_forwardIn the figure, the orientation of the transmission axis for each of three polarizing sheets is labeled relative to the vertical direction. A beam of unpolarized light is incident on the first polarized with an intensity of lo. The final intensity of the beam of light is 0.251, after it has passed through the three polarizing sheets. What is the value of 03 if 0q= 15°, 02 = 50°?arrow_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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