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.

Two plane mirrors make an angle α = 54.0◦ between them. A ray of light incident on one of the mirrors is reflected and hits the second mirror. Find the angle β between the ray incident on the first mirror and the ray reflected off of the second mirror. (a) 36.0◦ (b) 72.0◦ (c) 54.0◦ (d) 24.0◦ (e) None of the above.

A light beam is traveling through an unknown substance. When it strikes a boundary between that substance and the air (?air≈1),(nair≈1), the angle of reflection is 25.0∘25.0∘ and the angle of refraction is 47.0∘.47.0∘. What is the index of refraction ?n of the substance?

Problem 85. A light ray is incident upon a transparent parallel plate of index of refraction 1.52 at an angle of 40° as shown below. A) Sketch the path of the ray through the plate and exiting the plate. B) Find the angle of refraction in the plate at the entry into the plate. C) Find the angle of refraction in the air at the exit from the plate. Air Plate Air 40 1

デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT While standing on top of a 50.0 m tall building, you discover a friend standing on the street corner. Using a protractor and a plumb line, he finds that the angle between the horizontal and the direction toward the point on the sidewalk where his friend is standing is 25.0°. His eyes are located 1.75 m above the top of the building. How far from the building level is his friend?

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.

A horizontal light ray is incident on a crown glass prism as shown in the figure where β = 27.8°. Find the angle of deviation δ of the ray—the angle that the ray emerging from the prism makes with the incident ray.