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 ω. 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
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
Figure P37.52
Want to see the full answer?
Check out a sample textbook solutionChapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics
- 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_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
- Light 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_forwardAn 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/cm2arrow_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
- Unpolarized light of intensity 150 W/m2 passes through two ideal polarizing filters. The polarizing axes of the filters are indicated by the dashed lines. What is the intensity of light at point B? A. 8.77 W/m2 B. 14.4 W/m2 C. 37.5 W/m2 D. 66.2 W/m2 E. 109 W/m2arrow_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_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_forward
- An unpolarized beam of light (intensity I0) is moving in the x-direction. The light passes through three ideal polarizers whose transmission axes are (in order) at angles 0.0°, 48.0°, and 22.0° counterclockwise from the y-axis in the yz-plane. If the polarizer in the middle is removed, what is the intensity and polarization of the light transmitted by the last polarizer?arrow_forwardA light beam has a wavelength of 660 nm in a material of refractive index 2.00. In another material of refractive index 3.00, its wavelength will be A. 440 nm B. 660 nm C. 1320 nm D. 990 nm E. 330 nmarrow_forwardA linearly polarized light wave is always a) in x-y plane. b) a transverse wave. c) a longitudinal wave. d) in y-z plane.arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning