92 In about A.D. 150, Claudius Ptolemy gave the following meas- ured values for the angle of incidence 0, and the angle of refraction 8, for a light beam passing from air to water: 02 10° 8° 50° 35° 20° 15°30' 60° 40°30' 30° 22°30' 70° 45°30' 40° 29° 80° 50° Assuming these data are consistent with the law of refraction, use them to find the index of refraction of water. These data are inter- esting as perhaps the oldest recorded physical measurements.

92 In about A.D. 150, Claudius Ptolemy gave the following meas- ured values for the angle of incidence 0, and the angle of refraction 8, for a light beam passing from air to water: 02 10° 8° 50° 35° 20° 15°30' 60° 40°30' 30° 22°30' 70° 45°30' 40° 29° 80° 50° Assuming these data are consistent with the law of refraction, use them to find the index of refraction of water. These data are inter- esting as perhaps the oldest recorded physical measurements.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A ray of light falls perpendicular to face AB of a prism whose cross section is an isosceles rectangle. The ray follows the path shown in the figure. About the refractive index of the prism material it is correct to state that necessarily: a) n = 1,2 b) n > 1,2 c) n < 1.2 d) n = root of 2 e) n > the root of 2 f) n < root of 2 g) n = 1.6 h) n > 1.6 i) n < 1.6 j) n = root of 3 k) n > root of 3 l) n < root of 3 m) n = 2.0 n) n > 2.0 o) n < 2.0
Question 18: a. Speed of light in a medium is (21) x 10° m/s. Find the refractive index of that medium. Also calculate the time taken by light to travel (24) mm in that medium. b. If a light ray propagates from a medium 1 of refractive index (21.55) to a medium 2 of refractive index (20.55), find the critical angle (in degree, minutes, and seconds) for the medium 1-medium 2 interface. c. Find the refractive index of core of an optical fibre of numerical aperture (19.525) Consider the refractive index of cladding of this fibre is (20.45).
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A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction? Calculate to 1decimal.
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Compute the index of refraction for the substance where lightpropagates with speed v = 2.1 × 10 8 m/s (speed of light in vacuum isc = 3 × 10 8 m/s) Calculate to 2 decimals.
The index of refraction for water is about 4/3. What happens to light when it travels from air to water? Its speed decreases to 3c/4, and its wavelength decreases by a factor of 3/4 Its speed decreases to 3c/4 and its wavelength increases by a factor of 4/3. Its speed increases to 4c/3, and its frequency decreases by a factor of 3/4. Its speed decreases to 3c/4, and its frequency increases b 4/3.
When the sun is either rising or setting and appears to be just on the horizon, it is in fact below the horizon. The explanation for this seeming paradox is that light from the sun bends slightly when entering the earth’s atmosphere, as shown in Fig. Since our perception is based on the idea that light travels in straight lines, we perceive the light to be coming from an apparent position that is an angle d above the sun’s true position. (a) Make the simplifying assumptions that the atmosphere has uniform density, and hence uniform index of refraction n, and extends to a height h above the earth’s surface, at which point it abruptly stops. Show that the angle d is given by as attached. where R = 6378 km is the radius of the earth. (b) Calculate d using n = 1.0003 and h = 20 km. How does this compare to the angular radius of the sun, which is about one quarter of a degree? (In actuality a light ray from the sun bends gradually, not abruptly, since the density and refractive index of the…
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