65. A 1.0-cm-tall object is 20 cm in front of a convex mirror that has a -60 cm

Question

65. A 1.0-cm-tall object is 20 cm in front of a convex mirror that has a -60 cm focal length. Calculate the position and height of the image. State whether the image is in front of or behind the mirror, and whether the image is upright or inverted. The illumination lights in an operating room use a concave mirror to focus an image of a bright lamp onto the surgical site. One such light uses a mirror with a 30 cm radius of curvature. It the mirror is 1.2 m from the patient, how far should the lamp be from the mirror? 67. A dentist uses a curved mirror to view the back side of teeth in the upper jaw. Suppose she wants an upright image with a magnification of 1.5 when the mirror is 1.2 cm from a tooth. Should she use a convex or a concave mirror? What focal length should it have? 68. A 2.0-cm-tall candle flame is 2.0 m from a wall. You happe to have a lens with a focal length of 32 cm. How many plac the lens to form a well-focused image of the can

Explanation / Answer

by using the formula for mirror having radius of curvature R and s,s' are object and image distances

now 1/s+1/s'=2/R

1/s'=2/0.3-1/1.2=

s'=0.1714 m

the lamp should be 0.17 m from the mirror shows the clear image of the patient

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