Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 31, Problem 58P
(a)
To determine
The proof that intensity of transmitted light is
(b)
To determine
The plot of transmitted intensity as the function of
(c)
To determine
The direction of polarization of transmitted beam.
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Polarized light is incident on 7 polarizing sheets. the axis of the first polarized sheet makes an agle theta with the plane of polarization. each subsequent sheet has an axis that is rotated by an angle theta from that of adjacent sheets. find theta if 91% of the incident intensity is transmitted by the sheets.
Plane-polarized light is incident on a single polarizing disk with the direction of hE0 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) 25%
(b) 50% and
(c) 75%?
A beam of polarized light is sent into a system of two polarizing sheets. Relative to the polarization direction of that incident light, the polarizing directions of the sheets are at angles u for the first sheet and 90° for the second sheet. If 0.10 of the incident intensity is transmitted by the two sheets, what is u?
Chapter 31 Solutions
Physics for Scientists and Engineers
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- 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_forwardWhat is the average magnitude of the Poynting vector 5.00 mi from a radio transmitter broadcasting isotropically (equally in all directions) with an average power of 250 kW?arrow_forwardTo save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?arrow_forward
- What is the physical significance of the Poynting vector?arrow_forwardThe magnetic field of a plane electromagnetic wave moving along the z axis is given by B =B0(coskz+t) j , where B0=5.001010 and k=3.10102m-1 . (a) Write an expression for the electric field associated with the wave. (b) What are the frequency and the wavelength of the wave? (C) What is its average Poynting vector?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_forward
- Two 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_forwardA 150-W lightbulb emits 5% of its energy as electromagnetic radiation. What is the magnitude of the average Poynting vector 10 m from the bulb?arrow_forwardThe electric field of an electromagnetic wave is given by E=(6.0103V/m)sin[2(x18mt6.0 10 8s)] j Write the equations for the associated magnetic field and Poynting vector.arrow_forward
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