Two Principal Light Rays and Focal Length 28 Cm Question

I’m working on a physics test / quiz prep and need an explanation and answer to help me learn.

1. Using two principal light rays, show how you would find the position of an image for these two set ups (The diagrams you draw should be very clear and exact. It may help to use a ruler)

A) A converging lens with the object between f and 2f.

B) A converging lens with the object between f and the lens.

2. A bug enthusiast uses a converging lens with focal length 28 cm to inspect a bug 16 cm in front of the lens. What is the magnitude of the magnification?

a) 1.5

b) 2.3

c) 3.1

d) 4.6

3. A pearl hunter shines a flashlight upward from beneath the ocean surface at a 41.5° angle to the vertical. At what angle do the light beams exit the surface? The index of refraction for saltwater is 1.39.

a) 31.5°

b) 51.7°

c) 67.1°

d) 88.5°

4. What is the nearpoint of an eye for a contact lens with a power of +5.5 diopters?

a) 13cm

b) 44cm

c) 58cm

d) 67cm