1) The index of refraction for red light in water is 1.331 and that for blue lig

Question

1)

The index of refraction for red light in water is 1.331 and that for blue light is 1.340. A ray of white light enters the water at an angle of incidence of 50.6°.

2)

A thief hides a precious jewel by placing it on the bottom of a public swimming pool. He places a circular raft on the surface of the water directly above and centered over the jewel as shown in the figure below. The surface of the water is calm. The raft, of diameter d = 6.15 m, prevents the jewel from being seen by any observer above the water, either on the raft or on the side of the pool. What is the maximum depth h of the pool for the jewel to remain unseen?
m

3)

hiker stands on an isolated mountain peak near sunset and observes a rainbow caused by water droplets in the air at a distance of 8.22 km along her line of sight to the most intense light from the rainbow. The valley is 2.16 km below the mountain peak and entirely flat. What fraction of the complete circular arc of the rainbow is visible to the hiker? (The most intense light reaching the hiker, that which represents the visible rainbow, is located between angles of 40° and 42° from the hiker's shadow.)

Explanation / Answer

a) sin r = sin 50.6 degree/1.331

r = arcsin(sin 50.6 degree/1.331)

= 35.5 degree

b)sin r = sin 50.6 degree/1.340

r = arcsin(sin 50.6 degree/1.340)

= 35.216 degree

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