1. The projection lens in a certain slide projector is a single thin lens. A slide 23.9 mm high is to be projected so that its image fills a screen 1.74 m high. The slide-to-screen distance is 2.93 m.
Determine the focal length of the projection lens.
What is the relationship between the slide-to-screen distance and the object and image distances?
How far from the slide should the lens of the projector be placed to form the image on the screen?
Make certain to keep a fairly large number of significant figures in your calculations to avoid round-off errors.
2. A jellyfish is floating in a water-filled aquarium 1.41 m behind a flat pane of glass 4.80 cm thick and having an index of refraction of 1.5. (The index of refraction of water is 1.33.)
Where is the image of the jellyfish located? (Find the location of the final image, taking the inside and outside surfaces of the pane of glass as two refracting surfaces. Use a negative number to indicate the image is in the tank. Measure the distance from the air-glass interface. Enter your answer to three decimal places.)
Repeat the problem when the glass is so thin that its thickness can be neglected. (Use a negative number to indicate the image is in the tank. Enter your answer to three decimal places.)
How does the thickness of the glass affect the answer to part
(a) the thicker the glass, the greater the distance between the final image and the outer surface of the glass
(b) thickness has no effect on the answer to part (a) the thinner the glass,
(c) the greater the distance between the final image and the outer surface of the glass