Problem 1 A convex mirror has a radius of curvature of 3 m. If a 2 cm tall object is placed 1 m in front of the mirror, how tall (in cm) will the image be, and what orientation will it have? Jt' t t-1", ~ of J.. t'.f - -J = -~l. 1I 0(.1. ; t ::"> ~? ~ -;:3. AA:: _~I -::-.! ::-(-.,) ,1 .r ;=:7 hI:: r' l1 (. ,)(2c",):: f - I [I tlc~ 7 1:. :=. -, ~ b I -..A~O b ~")\ "-Irt,h-l:. 1 Problem 2 An object of height 3 cm is placed a distance D = 20 cm to the left of a thin divergent lens of focal distance 50 cm. What is the height of the image? I :: 1 ..,)..::"> P!. ~-1 ~..:: 3"" J- :: ..L -1 ). :::;>Q -50 Zu l ~ , -/y, t. c.. ..,.1 AA- -i:,::, - (:-('-I,Z') ::.,..1 /-1.. .., p I. I;-;'1~." Zo (, 7/'"1)(",,~) ' ,,1l,/ 'i ~,., 7 Problem 3 Radio waves from a star, of wavelength 250 m, reach a radio telescope by two separate paths as shown below. One is a direct path to the receiver, which is situated on the edge of a cliff by the ocean. The second is by reflection off the water. The first minimum of destructive interference occurs when the star is 25.0° above the horizon. Find the height of the cliff. (Assume no phase change on reflection)