1. (4.) A person whose eyes are 1.68 m above the floor stands 2.20 m in front of a vertical plane mirror whose bottom edge is 43 cm above the floor , Fig . 23- 48. What is the horizontal distance x to the base of the wall supporting the 1.68 m mirror of the nearest point on the floor that can be seen reflected in the mirror? 2. (11.) A dentist wants a small mirror that , when 2.20 cm from a tooth , will produce a 4.5x upright image . What kind of mirror must be used and what must its radius of curvature be? 3. (12.) Some rearview mirrors produce images of cars behind you that are smaller than they would be if the mirror were flat. Are the mirrors concave or convex? What is a mirror's radius of curvature if cars 20.0 m away appear 0.33x their normal size ? 4. (21.) A 4.5 -cm -tall object is placed 28 cm in front of a spherical mirror . It is desired to produce a virtual image that is upright and 3.5 cm tall . (a) What type of mirror should be used ? (b) Where is the image located ? (c) What is the focal length of the mirror? (d) What is the radius of curvature of the mirror? 5 . (22 .) A shaving /makeup mirror is designed to magnify your face by a factor of 1.33 when your face is placed 20.0 com in front of it. (a) What type of mirror is it? (b) Describe the type of image that it makes of your face . (c) Calculate the required radius of curvature for the mirror. . (78.) Each student in a physics lab is assigned to find the location where a bright object may be placed in order that a concave mirror with radius of curvature r = 40 cm will produce an image three times the size of the object . Two students complete the assignment at different times using identical equipment, but when they compare notes later, they discover that their answers for the object distance are not the same. Explain why they do not necessarily need to repeat the lab , and justify your response with a calculation 7. (91.) An object is placed 15 cm from a certain mirror . The image is half the size of the object , inverted , and real . How far is the image from the mirror, and what is the radius of curvature of the mirror? 8. * *(32 .) Light is incident on an equilateral glass prism at a 45.0 * angle to one face , Fig. 23-51. Calculate the angle at which light emerges from the opposite face. Assume 45.09 that n = 1.58. * *(42.) (a) What is the minimum index of refraction for a glass or plastic prism to be used in binoculars (Fig . 23-26 ) so that total internal reflection occurs at 45 '? (b) Will binoculars work if its prisms (assume n = 1.50 ) are immersed in water ? (c) What minimum n is needed if the prisms are immersed in water? 10. * *(74.) The critical angle of a certain piece of plastic in air is 9 37.32 ?What is the critical angle of the same plastic if it is immersed in water
