You are standing on the shore of a quiet, still lake, facing the sun. The sun is 35° above the horizon, and some of the sunlight is reflecting off the flat surface of the lake, into your eyes. Your eyes are 1.6 m above the surface of the lake and wearing sunglasses with polarization that have a T₁ = 27%. a) If you are wearing polarizing sunglasses with horizontal polarization, what percentage of the total sunlight will reaches your eyes from the lake's reflection? b) If you are wearing polarizing sunglasses with vertical polarization, what percentage of the total sunlight will reaches your eyes from the lake's reflection? Which glasses will you choose for better eye protection? Assume ideal polarization. Express your answer with 3 significant figures.

You are standing on the shore of a quiet, still lake, facing the sun. The sun is 35° above the horizon, and some of the sunlight is reflecting off the flat surface of the lake, into your eyes. Your eyes are 1.6 m above the surface of the lake and wearing sunglasses with polarization that have a T₁ = 27%. a) If you are wearing polarizing sunglasses with horizontal polarization, what percentage of the total sunlight will reaches your eyes from the lake's reflection? b) If you are wearing polarizing sunglasses with vertical polarization, what percentage of the total sunlight will reaches your eyes from the lake's reflection? Which glasses will you choose for better eye protection? Assume ideal polarization. Express your answer with 3 significant figures.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter1: The Nature Of Light

Section: Chapter Questions

Problem 95CP: The light incident on polarizing sheet P1is linearly polarized at an angle of 30.00 with respect to...

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Similar questions

(a) Light reflected at 62.5° from a gemstone in a ring is completely polarized. Can the gem be a diamond? (b) At what angle would the light be completely polarized if the gem was in water?
Unpolarized 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.
The Poynting vector describes a flow of energy whenever electric and magnetic fields are present. Consider a long cylindrical wire of radius r with a current I in the wire, with resistance R and voltage V. From the expressions for the electric field along the wire and the magnetic field around the wire, obtain the magnitude and direction of the Poynting vector at the surface. Show that it accounts for an energy flow into the wire from the fields around it that accounts for the Ohmic heating of the wire.
The light incident on polarizing sheet P1is linearly polarized at an angle of 30.00 with respect to the transmission axis of P1 Sheet P2is placed so that its axis is parallel to the polarization axis of the incident light, that is, also at 30.0° with respect to P1 . (a) What fraction of the incident light passes through P1 ? (b) What fraction of the incident light is passed by the combination? (c) By rotating P2 , a maximum in transmitted intensity is obtained. What is the ratio of this maximum intensity to the intensity of transmitted light when P2 is at 30.0° with respect to P1 ?
If 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?
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?
To 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?
If you have completely polarized light of intensity 150 W/m2 , what will its intensity be after passing through a polarizing filter with its axis at an 89.0 angle to the light’s polarization direction?
(a) On a day when the intensity of sunlight is 1.00kW/m2 , a circular lens 0.200 m in diameter focuses light onto water in a black beaker. Two polarizing sheets of plastic are placed in front of the lens with their axes at an angle of 20.0°. Assuming the sunlight is unpolarized and the polarizers are 100% efficient, what is the initial rate of heating of the water in °C/s, assuming it is 80.0% absorbed? The aluminum beaker has a mass of 30.0 grams and contains 250 grams of water. (b) Do the polarizing filters get hot? Explain.
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?
An 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).
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?