problem 53 3) (a) (10 points) A spherical mirror with radius of curvature 30.0 c

Question

problem 53

3) (a) (10 points) A spherical mirror with radius of curvature 30.0 cm is polished on both sides. When concave side is used as a mirror, an object as shown (approximate location s 20.0 cm, and approximate height h-6.00 cm) produces an image.. (a) Draw at least 3 rays to determine the image (location and size), Determine the magnification. (b) (10 points) For a completely difterent object distance d, the magnification from the concave mirror is 2 007 What is the magnitication when the convex side is used as a mirror (same radius of curvature), twe object remaining, the same distance d. from the mirror? Use either ray diagram method or the misror equation ivwethod in this part.

Explanation / Answer

using mirror equation to find image distance,

v= -60cm

m= -v/u = -3

b).   For concave side,


do = (1-M) *f / M ----------------------------1

For convex side

do = (1-M' ) *f' / M' and f' = -f
Hence
do = - (1-M' ) *f / M' -= ----------------------------2

From 1 and 2

(1-M' ) / M' = - (1-M) / M = 0.6774

M' = 0.596154 approximately

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