A shopper standing 1.46 m from a convex security mirror sees his image with a ma

Question

A shopper standing 1.46 m from a convex security mirror sees his image with a magnification of 0.222.   Determine the following. (Indicate the directions with the signs of your answers.)

A shopper standing 1.46 m from a convex security mirror sees his image with a magnification of 0.222. Determine the following. (Indicate the directions with the signs of your answers.) location of his image Is it in front of or behind the mirror? in front of the mirror behind the mirror focal length of the mirror radius of curvature of the mirror

Explanation / Answer

m = hi / h0 = - v/u
0.222 = - v / 1.46
v = - 0 .324 m on the same side of the lens ( front of the miroor)

b()   1/v + 1/u = 1/f
-1/0.324 + 1/1.46 = 1/f
f = - 0.416 m

c) 2f = r = - 0.833 m

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