Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 38, Problem 78CP
To determine
The intensity of the beam emerging from the right disk is
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10. Three polarizing disks have planes that are parallel and centered on a common axis. The direction of the transmission
axis (dashed line) in each case is shown relative to the common vertical direction. A polarized beam of light (with its axis
of polarization parallel to the horizontal reference direction) is incident from the left on the first disk with intensity S, =
820 W/m2. Calculate the transmitted intensity if 0₁ = 21.0°, 0₂ = 34.0°, and 03 = 44.0°.
X 658.06 W/m²
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92
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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.
Problem 1:
a. Determine the polarization state of a plane EM wave with electric field
E = 3 sin (ot – Bz +30°) a; + 4 cos (@t – Bz +45°) ay
b. Prove that a plane linearly polarized wave can be resolved into two circularly polarized wave
traveling in the same direction but with opposite polarization orientations.
Chapter 38 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 38.2 - Suppose the slit width in Figure 37.4 is made half...Ch. 38.2 - Prob. 38.2QQCh. 38.3 - Cats eyes have pupils that can be modeled as...Ch. 38.3 - Suppose you are observing a binary star with a...Ch. 38.4 - Ultraviolet light of wavelength 350 nm is incident...Ch. 38.6 - A polarizer for microwaves can be made as a grid...Ch. 38.6 - Prob. 38.7QQCh. 38 - Prob. 1OQCh. 38 - Prob. 2OQCh. 38 - Prob. 3OQ
Ch. 38 - Prob. 4OQCh. 38 - Prob. 5OQCh. 38 - Prob. 6OQCh. 38 - Prob. 7OQCh. 38 - Prob. 8OQCh. 38 - Prob. 9OQCh. 38 - Prob. 10OQCh. 38 - Prob. 11OQCh. 38 - Prob. 12OQCh. 38 - Prob. 1CQCh. 38 - Prob. 2CQCh. 38 - Prob. 3CQCh. 38 - Prob. 4CQCh. 38 - Prob. 5CQCh. 38 - Prob. 6CQCh. 38 - Prob. 7CQCh. 38 - Prob. 8CQCh. 38 - Prob. 9CQCh. 38 - Prob. 10CQCh. 38 - Prob. 11CQCh. 38 - Prob. 12CQCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Coherent light of wavelength 501.5 nm is sent...Ch. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - What is the approximate size of the smallest...Ch. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Consider an array of parallel wires with uniform...Ch. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - A grating with 250 grooves/mm is used with an...Ch. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Light from an argon laser strikes a diffraction...Ch. 38 - Show that whenever white light is passed through a...Ch. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46PCh. 38 - Prob. 47PCh. 38 - Prob. 48PCh. 38 - Prob. 49PCh. 38 - Prob. 50PCh. 38 - Prob. 51PCh. 38 - Prob. 52PCh. 38 - Prob. 53APCh. 38 - Prob. 54APCh. 38 - Prob. 55APCh. 38 - Prob. 56APCh. 38 - Prob. 57APCh. 38 - Prob. 58APCh. 38 - Prob. 59APCh. 38 - Prob. 60APCh. 38 - Prob. 61APCh. 38 - Prob. 62APCh. 38 - Prob. 63APCh. 38 - Prob. 64APCh. 38 - Prob. 65APCh. 38 - Prob. 66APCh. 38 - Prob. 67APCh. 38 - Prob. 68APCh. 38 - Prob. 69APCh. 38 - Prob. 70APCh. 38 - Prob. 71APCh. 38 - Prob. 72APCh. 38 - Prob. 73APCh. 38 - Light of wavelength 632.8 nm illuminates a single...Ch. 38 - Prob. 75CPCh. 38 - Prob. 76CPCh. 38 - Prob. 77CPCh. 38 - Prob. 78CPCh. 38 - Prob. 79CP
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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_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_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_forward
- Pleasearrow_forwardThe Figure shows TE polarised light incident on a dielectric interface. Light is incident from the upper left, in a sourced medium with refractive index nS at an angle of incidence θI , onto an unsourced medium with refractive index nU , and transmitted at angle of refraction θT . Both media are non-magnetic. The vectors HI , HR, HT are the magnetic fields for incident, reflected and transmitted waves respectively; the corresponding E fields point into the paper, as shown by the arrow-tail symbols.State the boundary conditions on the E and H fields, then use these to prove that theamplitude transmission coefficient tTE is given by tT E ≡ ET/EI = 2nS cos θI / nS cos θI + nU cos θT(Justify any assumption relating impedance to refractive index).arrow_forwardThree 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.arrow_forward
- A system of three polarizing sheets intercepts a beam of initially unpolarized light. The polarizing direction of the first sheet is parallel to the y-axis, that of the second sheet is at an angle of 0 counterclockwise from the y-axis and that of the third sheet is parallel to the x-axis. The intensity of light emerging from the three-sheet system is 11.52% of the original intensity Io. Determine the angle 0. In which direction is the emerging light polarized?arrow_forwardLight of intensity 10 passes through 4 ideal polarizing sheets. Unpolarized light enters the 1st sheet that has a horizontal transmission axis. Light continues to the 2nd sheet that has its transmission axis at 26 degrees with respect to the 1st sheet, then to the 3rd sheet that has its transmission axis at 48 degrees with respect to the 1st sheet then to the 4th sheet that has its transmission axis at 11 degrees with respect to the 3d sheet. The intensity of the emerging light as percentage of 10 is close to: O 33 O 81 O 13 O 46 O 18arrow_forwardUnpolarized light is sent into a system of three polarizing sheets. The angles θ1, θ2, and θ3 of the polarizing directions is measured counterclockwise from the positive direction of the y axis. Angles θ1 and θ3 are fixed, but angle θ2 can be varied. The figure gives the intensity of the light emerging from sheet 3 as a function of θ2. (a) From the intensity plot, what are the possible orientations of the first and third polarizers? Draw a sketch of the situation. (b) What percentage of the light’s initial intensity is transmitted by the three-sheet system when θ2 = 90°? Answer: 7.3%arrow_forward
- One 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_forwardThe 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_forwardThree 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 P24.59arrow_forward
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