Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 29, Problem 61P
In a stack of polarizing sheets, each sheet has its transmission axis rotated 14° with respect to the preceding sheet. If the stack passes 37% of the incident unpolarized light, how many sheets does it contain?
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In the figure, initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of θ1 = 55°, θ2 = 19°, and θ3 = 47° with the direction of the y axis. What percentage of the light's initial intensity is transmitted by the system?
Plane-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
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In the figure, a beam of unpolarized light, with intensity 49 W/m2, is sent into a system of two polarizing sheets with polarizing directions at angles θ1 = 78˚ and θ2 = 90˚ to the y axis. What is the intensity of the light transmitted by the system?
Chapter 29 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 29.2 - Would you expect to find a magnetic field between...Ch. 29.5 - Prob. 29.3GICh. 29.6 - Prob. 29.4GICh. 29.7 - Prob. 29.5GICh. 29.8 - Lasers 1 and 2 emit light of the same color, and...Ch. 29 - Why is Maxwells modification of Ampres law...Ch. 29 - Prob. 2FTDCh. 29 - Is there displacement current in an...Ch. 29 - Prob. 4FTDCh. 29 - Prob. 5FTD
Ch. 29 - When astronomers observe a supernova explosion in...Ch. 29 - Turning a TV antenna so its rods point vertically...Ch. 29 - The Sun emits about half of its...Ch. 29 - An LC circuit is made entirely from...Ch. 29 - Prob. 10FTDCh. 29 - The intensity of light drops as the inverse square...Ch. 29 - Electromagnetic waves dont readily penetrate...Ch. 29 - Prob. 13ECh. 29 - Prob. 14ECh. 29 - The fields of an electromagnetic wave are E = Ep...Ch. 29 - A radio waves electric field is given by the...Ch. 29 - A light-minute is the distance light travels in 1...Ch. 29 - Your intercontinental telephone call is carried by...Ch. 29 - An airplanes radar altimeter works by bouncing...Ch. 29 - Roughly how long does it take light to travel 1...Ch. 29 - If you speak via radio from Earth to an astronaut...Ch. 29 - What are the wavelengths of (a) a 100-MHz FM radio...Ch. 29 - A 60-Hz power line emits electromagnetic...Ch. 29 - Microwave ovens for consumers use operate at 2.45...Ch. 29 - Prob. 25ECh. 29 - Prob. 26ECh. 29 - Vertically polarized light passes through a...Ch. 29 - Prob. 28ECh. 29 - Prob. 29ECh. 29 - Estimate the peak electric field inside a 1.1-kW...Ch. 29 - Prob. 31ECh. 29 - Prob. 32ECh. 29 - Your university radio station has a 5.0-kW radio...Ch. 29 - Prob. 34PCh. 29 - Youre engineering a new cell phone, and youd like...Ch. 29 - Prob. 36PCh. 29 - The medical profession divides the ultraviolet...Ch. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - A polarizer blocks 75% of a polarized light beam....Ch. 29 - Prob. 41PCh. 29 - Unpolarized light of intensity S0 passes first...Ch. 29 - Prob. 43PCh. 29 - Prob. 44PCh. 29 - High microwave intensities can cause biological...Ch. 29 - Use the fact that sunlight intensity at Earths...Ch. 29 - A quasar 10 billion light-years from Earth appears...Ch. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Find the peak electric and magnetic fields 1.5 m...Ch. 29 - A typical fluorescent lamp is a little more than 1...Ch. 29 - Prob. 52PCh. 29 - A laser produces an average power of 7.0 W in a...Ch. 29 - Prob. 54PCh. 29 - A 65-kg astronaut is floating in empty space. If...Ch. 29 - Prob. 56PCh. 29 - A white dwarf star is approximately the size of...Ch. 29 - Use appropriate data from Appendix E to calculate...Ch. 29 - Prob. 59PCh. 29 - Prob. 60PCh. 29 - In a stack of polarizing sheets, each sheet has...Ch. 29 - Prob. 62PCh. 29 - Prob. 63PCh. 29 - Maxwells equations in a dielectric resemble those...Ch. 29 - Prob. 65PCh. 29 - Your roommates father is CEO of a coal company, so...Ch. 29 - The Voyager I spacecraft is now beyond the outer...Ch. 29 - Prob. 68PCh. 29 - Prob. 69PCh. 29 - The table below shows the intensity of the radio...Ch. 29 - If a sunlight-powered sailing spacecraft...Ch. 29 - Prob. 72PPCh. 29 - A sail capable of propelling a spacecraft to the...Ch. 29 - Prob. 74PP
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- Three polarizing sheets are placed together such that the transmission axis of the second sheet is oriented at 25.0° to the axis of the first, whereas the transmission axis of the third sheet is oriented at 40.0° (in the same sense) to the axis of the first. What fraction of an intensity of an incident unpolarized beam is transmitted by the combination?arrow_forwardIf a polarizing filter reduces the intensity of polarized light to 50.0% of its original value, by how much are the electric and magnetic fields reduced?arrow_forwardTwo polarizing sheets P1 and P2 are placed together with their transmission axes oriented at an angle to each other. What is when only 25% of the maximum transmitted light intensity passes through them?arrow_forward
- What angle is needed between the direction of polarized light and the axis of a polarizing filter to cut its intensity in half?arrow_forwardAn unpolarized beam of light is incident on a stack of ideal polarizing filters. The axis of the first filter is perpendicular to the axis of the last filter in the stack. Find the fraction by which the transmitted beams intensity is reduced in the three following cases. (a) Three filters are in the stack, each with its transmission axis at 45.0 relative to the preceding filter. (b) Four filters are in the stack, each with its transmission axis at 30.0 relative to the preceding filter. (c) Seven filters are in the stack, each with its transmission axis at 15.0 relative to the preceding filter. (d) Comment on comparing the answers to parts (a), (b), and (c).arrow_forwardIf plane polarized light is sent through two polarizers, the first at 45 to the original plane of polarization and the second at 90 to the original plane of polarization, what fraction of the original polarized intensity passes through the last polarizer? (a) 0 (b) 14 (c) 12 (d) 18 (e) 110arrow_forward
- How many helium atoms, each with a radius of about 31 pm, must be placed end to end to have a length equal to one wavelength of 470 nm blue light?arrow_forwardWhat is the physical significance of the Poynting vector?arrow_forwardSuppose a source of electromagnetic waves radiates uniformly in all directions in empty space where there are no absorption or interference effects. (a) Show that the intensity is inversely proportional to r2, distance from the source squared. (b) Show that the magnitudes of the electric and magnetic fields are inversely proportional to r.arrow_forward
- 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_forwardPlane - polarized light is incident on a single polarizing disk, with the direction of E 0 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 (a) 2.00, (b) 4.00, and (c) 6.00?arrow_forward
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