Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

There are two major types of aberration (defective image formation) in lenses: s

ID: 1303928 • Letter: T

Question

There are two major types of aberration (defective image formation) in lenses: spherical and chromatic. Spherical aberration comes from the fact that a spherical lens does not focus parallel rays at a single po . The closer the rays are to the axis of the lens, the better job the lens does of focusing them at one po , but it is never perfect. Chromatic aberration comes from the fact that different wavelengths of light travel at different speeds through the material of the lens; that is, they have different indices of refraction, a property known as dispersion. This means that a lens, in effect, has different focal lengths for different wavelengths of light. Consider a lens made to the following specifications: focal length for red light fred = 19.57cm, focal length for blue light fblue = 18.87cm. Consider an object 5.000 cm tall placed a distance 30.00 cm from the lens. Assuming that the object reflects both red and blue light, find the ratio yred/yblue of the height of the red image to the height of the blue image. Express your answer numerically to three significant figures. This questions will be shown after you complete previous question(s).

Explanation / Answer

FOR PART B: In light of your answer to Part A, what would you expect to see if a circular piece of white paper with radius 5cm were placed 30cmfrom the lens with its center on the axis of the lens?

Answer: The image would have red edges.