5.72* The visor of a helmet is highly reflective and can be considered as a part of a sphere of radius of 20 cm. Describe the image you will see if you stand 2 m from the helmet.

As part of a cool diving experience, you swim through a 3m radius, water-filled tube (n = 4/3). Thetube passes through a lounge area, naturally filled with air. As you swim through, you observe a tourist a distance2m outside the tube. You are wearing a diving mask with a flat face and the distance from the face of your maskto the tube is 4m as drawn. What is the image location and magnification of the tourist? The system is drawnto the below. Describe the image and support your description mathematically.

Having become stranded in a remote wilderness area, you must live off the land while you wait for rescue. One morning, you attempt to spear a fish for breakfast. h You spot a fish in a shallow river. Your first instinct is to aim the spear where you see the image of the fish, at an angle $ = 43.40° with respect to the vertical, as shown in the figure. However, you know from physics class that you should not Image throw the spear at the image of the fish, because the actual location of the fish is farther down than it appears, at a depth H of H 0.9500 m. This means you must decrease the angle at which you throw the spear. This slight decrease in the angle is represented as a in the figure. If you throw the spear from a height h : 1.200 m above the water, calculate the angle decrease a. Assume that the index of refraction is 1.000 for air and 1.330 for water.

The kitten, Simba (Fig. A) and the kitten, Bella (Fig. B) are inspecting a goldfish swimming inside a round aquarium filled with water (nwater = 1.33). The magnitude of the radius of the round surface of the aquarium is 16 cm. The kittens are in air (nair=1.00). In order to calculate the apparent depth of the fish as viewed by the kittens, you need to use the equation shown in Fig. C. Identify the following (Please note that I am not asking you to do the calculation) n₁ P Fig. A + n₂ 9 = (n₂-n₁) R Fig. C Fig. A: n₁ = Fig. B: n₁ = ; n₂ = _; n₂ = Fig. B ; R = ; R =