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Work out problems A and B: 25 points each

Multiple choice questions 1-10: 5 points each

A). A penny lies at the bottom of a pool with depth d and index of refraction n, as shown in fig. Show that light rays that are close to the normal appear to come from a point that is a distance d_a = d/n below the surface. This distance is the apparent depth of the pool.

B). An object is 20 cm to the left of a thin diverging lens having a 30 cm focal length.

a) Find the image position with a ray diagram. (10 points)

b) Find the image position using right equation. (10 points)

c) What is the radius of curvature r₁ if the radius of r₂ is |r₂|=50cm? (5 points)