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Constants and Conversions. Need a calculator? Make sure to enter your answers in the specified units, but do not include the units in your answer.
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1) What is the maximum angle ( to the nearest tenth of a degree and relative to the normal) that a diver underneath a liquid with index of refraction can shine a flashlight upward and have the beam be directly visible in air on the surface?

2) A manufacturer wants to put some cladding plastic on their fiber optic strands which have n = 1.55 to protect them from scratches, dirt, water, or harmful mechanical stress. If the cladding has index of refraction , what is the minimum angle ( to the nearest tenth of a degree and relative to the normal) that light can strike the interior of the fiber optic at and undergo total internal reflection? (Assume that we only want light propagation inside the fiber optic itself and that any light entering the cladding is lost.)

3) The professor wants to form an image of a 35 mm slide on a screen? If the distance between the slide and the projector lens is mm and the distance from the lens to the screen is 7 m, what is the focal length of the lens to the nearest tenth of a mm?

4) What is the width of the image on the screen to the nearest centimeter in the previous problem?

5) If you walk toward a plane mirror at a speed of m/s how fast do you approach your image in the mirror (to the nearest tenth of a m/s)?

6) A converging lens of focal length 40 cm forms an image of a 2 cm high object. What is the position of the image (to the nearest cm), if the object is cm in front of the lens.

7) What is the height of the image (to the nearest tenth of a cm) in the preceding problem?

8) If the distance from rotating mirror to stationary mirror is km, what is the minimum revolutions per second at which Michelson's eight-sided mirror would have had to rotate in order that light would be reflected into an observer's eye by succeeding mirror faces?

9) A sharp image is located 178.0 mm in front of a converging mirror of focal length mm. Find the magnification to 2 decimal places.

10) How far to the nearest mm from a lens of focal length mm must an object be placed if it is to form a virtual image magnified in size by a factor of 3.2 ?