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 ng = 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 (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)? 20 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? .20 What is the relationship between index of refraction and light speed in a material such as glass? Review the definition of index of refraction. Double-check your arithmetic. m/s (f) How many nanoseconds does the light take to pass through the glass along the angled path shown here?
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 ng = 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 (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)? 20 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? .20 What is the relationship between index of refraction and light speed in a material such as glass? Review the definition of index of refraction. Double-check your arithmetic. m/s (f) How many nanoseconds does the light take to pass through the glass along the angled path shown here?
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Chapter1: Units, Trigonometry. And Vectors
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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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just needing help with parts D, E, and F
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.
(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, 63, 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
2.00 cm
(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)?
20
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
(f)
(e) At what speed (in m/s) does the light travel within the glass?
20
1x
What is the relationship between index of refraction and light speed in a material such as glass? Review the definition of index of refraction. Double-check your
arithmetic. m/s
ns
How many nanoseconds does the light take to pass through the glass along the angled path shown here?
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