Question 9 (6 points) A laser beam is aimed through a circular aperture of diameter 1 mm. a. If the laser beam is red with a wavelength of 632.3 nm, what is the angle from the center of the Airy disk to the rst dark ring? (2 points) b. If the screen you are projecting the Airy disk onto is 2 m from the aperture, what is the distance between the center of the disk and the rst dark ring? (2 points) c. How does the distance between the center of the disk and the rst dark ring change as you move the screen closer to the aperture? (1 point) d. You change to a green laser with a wavelength of 532 nm. How does this affect the separation of the rings in the Airy disk? (1 point} Question 10 (4 points) The headlights of a car are 1.5 m apatt. Your pupil has a diameter of 5 mm, and the wavelength of the light from the headlights is 600 nm. a. If the car is 50 m awayr from you, what is the angle between the headlights? (1 point) b. Can you tell whether the car has two headlights or one? {1 point) c. What is the maximum distance at which you would still be able to resolve headlights? (1 point} d. The pupil of your eye changes size depending on how much light it is exposed to. If the diameter of your pupil increased from 5 mm to 7 mm, would your answer in part (c) get larger or smaller? {1 point) Question 11 (2 points) You are taking an eye exam. You stand 5 m from a board that has letters printed on it. The separation between two of the letters on the board is 1 cm. Assume that the light in the room has a wavelength of 600 nm. a. If your pupil has a diameter of 7.5 mm, can you resolve the two letters, or do they blurtogether? (1 point) b. What is the maximum distance at which you would be able to resolve the letters? (1 point) Question 12 (2 points) The lens of a telescope has a diameter of 25 cm. You are using it to look at two stars that are 2 x 1017 m away from you and 6 x 109 m from each other. You are measuring light with a wavelength of 700 nm. As the light goes through the lens, it diffracts. a. Is it possible, using this telescope, to see the two stars as separate stars? {'I point) b. What is the minimum possible lens diameter you would need in order to resolve these two stars? {'I point) Question 13 (2 points) You are looking up at the Moon, which is 3.8 x 103 m away from Earth. It is nighttime, and your pupils have opened to a diameter of 8 mm. Assume that the light has a wavelength of 600 nm. a. If you're looking at two objects on the Moon's surface, how far apart must they be for you to be able to resolve them? Assume that the light from the Moon has a wavelength of 600 nm. (\"I point) b. When you're in the dark for a long time, your pupils open wider. Why would letting your eyes adjust to the dark help you resolve objects on the Moon? (1 point}