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 51P
To determine
The transmitted intensity
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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.
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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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- 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 P24.59arrow_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_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_forward
- J W E 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 R 92 5 T 6 Horizontal MacBook Air U 8 61arrow_forwardIn the figure, light from ray A refracts from material 1 (n1 = 1.60) into a thin layer of material 2 (n2 = 1.80), crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3 (n3 = 1.3). (a) What is the value of incident angle θA? (b) If θA is decreased, does part of the light refract into material 3? Light from ray B refracts from material 1 into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (c) What is the value of incident angle θB? (d) If θB is decreased, does part of the light refract into material 3?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
- 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 the figure below. 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; = 15.0 units (arbitrary). Calculate the transmitted intensity when Ꮎ 15.0⁰, 0₂ 1 = units If If= I; = : 35.0°, and 03 = 65.0°. Hint: Make repeated use of Malus's law. 0₁ 02 03 •arrow_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_forwardA light beam is traveling through an unknown substance. When it strikes a boundary between that substance and the air (nair = 1), the angle of reflection is 27.0° and the angle of refraction is 43.0°. What is the index of refraction n of the substance? n =arrow_forward
- A block of a transparent solid sits on top of the horizontal surface of a block of glass. A ray of light traveling in the glass is incident on the top surface of the glass at an angle of 62.0 with respect to the normal to the surface. The light has wavelength 447 nm in the glass and 315 nm in the transparent solid. What angle does the ray that refracts into the transparent solid make with the normal to the surface?arrow_forwardIn the figure, light from ray A refracts from material 1 (n₁ = 1.73) into a thin layer of material 2 (n2 = 1.80), crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3 (n3 = 1.40). (a) What is the value of incident angle BA? (b) If 8A is decreased, does part of the light refract into material 3? Light from ray B refracts from material 1 into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (c) What is the value of incident angle Og? (d) If Og is decreased, does part of the light refract into material 3? OB I ng no 121arrow_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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