Light of original intensity I0 passes through two ideal polarizing filters having their polarizing axes oriented as shown in Fig. E33.28. You want to adjust the angle ϕ so that the intensity at point P is equal to I0/10. (a) If the original light is unpolarized, what should ϕ be? (b) If the original light is linearly polarized in the same direction as the polarizing axis of the first polarizer the light reaches, what should ϕ be?
Figure E33.28
Want to see the full answer?
Check out a sample textbook solutionChapter 33 Solutions
University Physics, Volume 2 - Technology Update Custom Edition for Texas A&M - College Station, 2/e
Additional Science Textbook Solutions
Applied Physics (11th Edition)
College Physics
Essential University Physics (3rd Edition)
Conceptual Physics (12th Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
- 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_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_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
- Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.378. (b) What If? If the temperature of the filter increases above the normal value, increasing its thickness, what happens to the transmitted wavelength? (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light.arrow_forwardA 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 degreesarrow_forwardAn 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_forward
- What angle would the axis of a polarizing filter need to make with the direction of polarized light of intensity 1.00 kW/m2 to reduce the intensity to 500.0 W/m2 ? answer choices a)0.707 degrees b)84.3 degrees c)50.0 degrees d)45 degreesarrow_forwardA nonpolarized light with an intensity of 3.0 W/m2 is incident on two polarizing filters whose transmission axes form an angle of 60O. What is the intensity of light transmitted through the second filter? 0.3 W/m2 0.575 W/m2 0.475 W/m2 0.4 W/m2arrow_forwardUnpolarized 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_forward
- VP33.5.2 You shine unpolarized light with intensity 54.0 W/m254.0 W/m2 on an ideal polarizer, and then the light that emerges from this polarizer falls on a second ideal polarizer. The light that emerges from the second polarizer has intensity 19.0 W/m219.0 W/m2. Find (a) the intensity of the light that emerges from the first polarizer and (b) the angle between the polarizing axes of the two polarizers.arrow_forwardA beam of initially unpolarized light of intensity 227 W/m^2 passes through a series of polarizing filters, each one's axis aligned at a 11.1-degree angle with respect to the previous filter s axis. The beam of light emerging from the final filter in the series has an intensity of 64.4 W/m^2. How many polarizing filters did the beam pass through? 24 16 8 32arrow_forwardUnpolarized light of intensity 1 mW/m2 is incident on a plane polarizing filter whose axis makes an angle 300 with the vertical. Then the light passes through a second filter whose axis is horizontal. What is the intensity of the light after it emerges from the second filter? (Hint: When unpolarized light of intensity I0 passes thru a linear polarizer, the transmitted intensity is I0/2. This is because unpolarized light is a mix of random polarization directions (i.e., direction of the E field) and on the average only ½ gets through. See diagram below.) a) .125 mW/m2 b) .375 mW/m2 c) none of these.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics 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 Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning