Problem 3: A man stands in front of a vertical plane mirror, as shown in the figure. His eyes are 1. 75 m above the floor and the top of his head is 0.12 m higher than that. Part (a) Find the height above the floor, in meters, of the bottom edge of the shortest mirror in which he can see both the top of his head and his feet. This height is denoted ho in the figure. ho = theexpertta.com Part (b) Find the height above the floor, in meters, of the top edge of the shortest mirror in which he can see both the top of his head and his feet. This height is denoted he in the figure. he = Problem 4: A flashlight is held at the edge of a swimming pool at a height h = 1.8 m such that its beam makes an angle of 0 = 59 degrees with respect to the water's surface. The pool is d= 2.5 m deep and the index of refraction for air and water are ny = 1 and n2 = 1.33, respectively. Randomized Variables h = 1.8 m 1 = 2.5 m 0 = 59 degrees What is the horizontal distance, D, from the edge of the pool to the point on the bottom of the pool where the light strikes? Write your answer in m. D = Problem 5: You can determine the index of refraction of a substance by measuring its critical angle for total internal reflection Randomized Variables Oc,w = 72.10 Part (a) What is the index of refraction of a substance that has a critical angle of 72.10 when submerged in water (with index of refraction 1.333)? n] = Part (b) What would the critical angle be for this substance in air? Oc,a = Problem 6: Consider a camera whose lens has a 47 mm focal length. What is the power P, in diopters, of the camera lens? P = Problem 7: Some telephoto cameras use a mirror rather than a lens to magnify distant objects. What radius of curvature R, in meters, does the mirror need to have to replace a 350 mm focal length telephoto lens? R =