A ray of light strikes a flat glass block at an incidence angle of 8₁ = 39.8°. The glass is 2.00 cm thick and has an index of refraction that equals no = 1.65. 2.00 cm (a) What is the angle of refraction, 82, that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.) 22.83 (b) with what angle of incidence, 83, does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.) 22.83 (c) with what angle of refraction, 84, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.) 39.8 O (d) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? 0.82 x Think of the ray's path within the glass as the hypotenuse of a right triangle with opening angle 82. Use trigonometry to calculate the length of that hypotenuse. The think of it as the hypotenuse of a second right triangle, one whose opening angle is (0₁-0₂). The length of that triangle's shortest side equals the separation, d. cn (e) At what speed (in m/s) does the light travel within the glass? 182000000 m/s (f) How many nanoseconds does the light take to pass through the glass along the angled path shown here? X 0.11 Davis
A ray of light strikes a flat glass block at an incidence angle of 8₁ = 39.8°. The glass is 2.00 cm thick and has an index of refraction that equals no = 1.65. 2.00 cm (a) What is the angle of refraction, 82, that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.) 22.83 (b) with what angle of incidence, 83, does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.) 22.83 (c) with what angle of refraction, 84, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.) 39.8 O (d) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? 0.82 x Think of the ray's path within the glass as the hypotenuse of a right triangle with opening angle 82. Use trigonometry to calculate the length of that hypotenuse. The think of it as the hypotenuse of a second right triangle, one whose opening angle is (0₁-0₂). The length of that triangle's shortest side equals the separation, d. cn (e) At what speed (in m/s) does the light travel within the glass? 182000000 m/s (f) How many nanoseconds does the light take to pass through the glass along the angled path shown here? X 0.11 Davis
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter25: Reflection And Refraction Of Light
Section: Chapter Questions
Problem 16P
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need help with D and F please
Transcribed Image Text:A ray of light strikes a flat glass block at an incidence angle of 8₁ = 39.8°. The glass is 2.00 cm thick and has an index of refraction that equals n = 1.65.
2.00 cm
(a) What is the angle of refraction, 82, that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.)
22.83
(b) with what angle of incidence, 83, does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.)
22.83
(c) with what angle of refraction, 84, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.)
39.8
0
(d) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)?
0.82
X
Think of the ray's path within the glass as the hypotenuse of a right triangle with opening angle 82. Use trigonometry to calculate the length of that hypotenuse. Then
think of it as the hypotenuse of a second right triangle, one whose opening angle is (0₁-0₂). The length of that triangle's shortest side equals the separation, d. cm
(e) At what speed (in m/s) does the light travel within the glass?
182000000
m/s
(f) How many nanoseconds does the light take to pass through the glass along the angled path shown here?
0.11
X
Review the definition of index of refraction. Double-check your units. Double-check your value for the speed of light in a vacuum. ns
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