Tutorial: Optics and Cm
PC1222 Fundamentals of Physics II
Tutorial 8
1. Refraction of Light I.
When a man stands near the edge of an empty drainage ditch of depth 2.80 m, he can barely see the boundary between the opposite wall and bottom of the ditch as shown. The distance from his eyes to the ground is 1.85 m. (a) What is the horizontal distance d from the man to the edge of the drainage ditch? (b) After the drainage ditch is filled with water as shown, what is the maximum distance x the man can stand from the edge and still see the same boundary? [Ans: 1.65 cm]
2. Refraction of Light II.
A light ray enters a rectangular block of plastic at an angle θ1 = 45.0◦ and emerges at an angle θ2 = 76.0◦ as shown. (a) Determine the index of refraction of the plastic. (b) If the light ray enters the plastic at a point L = 50.0 cm from the bottom edge, how long does it take the light ray to travel through the plastic? (c) Determine a value for the angle θ1 so that the reflected rays at point P are fully polarized. [Ans: 1.20; 3.39 × 10−9 s; 50.2◦ ] Page 1 of 3 Semester I, 2013/14
Tutorial 8
Page 2 of 3
3. Refraction of Light III.
A man in a boat is looking straight down at a fish in the water directly beneath him. The fish is looking straight up at the man. They are equidistant from the air-water interface. To the man, the fish appears to be 2.0 m beneath his eyes. To the fish, how far above its eyes does the man appear to be? [Ans: 2.7 m]
4. Dispersion of Light.
n
Red 1.520
Orange 1.522
Yellow 1.523
Green 1.526
Blue 1.531
Violet 1.538
A horizontal ray of white light incident perpendicularly on the vertical face of a prism as shown. The light enters the prism and part of it undergoes refraction at the slanted face and emerges into the surrounding material. The rest of it is totally reflected and exits through the horizontal base of the prism. The colors of light that emerge from the slanted face many be chosen by altering the index of refraction of the
Tutorial 8
1. Refraction of Light I.
When a man stands near the edge of an empty drainage ditch of depth 2.80 m, he can barely see the boundary between the opposite wall and bottom of the ditch as shown. The distance from his eyes to the ground is 1.85 m. (a) What is the horizontal distance d from the man to the edge of the drainage ditch? (b) After the drainage ditch is filled with water as shown, what is the maximum distance x the man can stand from the edge and still see the same boundary? [Ans: 1.65 cm]
2. Refraction of Light II.
A light ray enters a rectangular block of plastic at an angle θ1 = 45.0◦ and emerges at an angle θ2 = 76.0◦ as shown. (a) Determine the index of refraction of the plastic. (b) If the light ray enters the plastic at a point L = 50.0 cm from the bottom edge, how long does it take the light ray to travel through the plastic? (c) Determine a value for the angle θ1 so that the reflected rays at point P are fully polarized. [Ans: 1.20; 3.39 × 10−9 s; 50.2◦ ] Page 1 of 3 Semester I, 2013/14
Tutorial 8
Page 2 of 3
3. Refraction of Light III.
A man in a boat is looking straight down at a fish in the water directly beneath him. The fish is looking straight up at the man. They are equidistant from the air-water interface. To the man, the fish appears to be 2.0 m beneath his eyes. To the fish, how far above its eyes does the man appear to be? [Ans: 2.7 m]
4. Dispersion of Light.
n
Red 1.520
Orange 1.522
Yellow 1.523
Green 1.526
Blue 1.531
Violet 1.538
A horizontal ray of white light incident perpendicularly on the vertical face of a prism as shown. The light enters the prism and part of it undergoes refraction at the slanted face and emerges into the surrounding material. The rest of it is totally reflected and exits through the horizontal base of the prism. The colors of light that emerge from the slanted face many be chosen by altering the index of refraction of the