Physics Question Convex Mirrior?
A mirror is created by spraying the outside of a large sphere with silver paint which reflects light with high efficiency. The ball has a diameter of 5.2 meters.
An object is placed a distance of 1.95 m from the surface of the sphere. The object as a height of 5 cm.
(a) What is the focal length of this mirror?
f = m
(b) How far from the surface is the image, counting positive distance to the left, negative to the right?
d = m
(c) What is the magnification of the image?
M =
(d) What is the height of the image?
H = cm
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Verified answer
d = -5.2 m --> R = 2.6
do = 1.95 m
ho = 5 cm
(a) f = R/2 = -2.6/2 = -1.3 m ( convex mirror)
(b) di = (1.95 * (-1.3))/(1.95- (-1.3)) = -0.78 m ( behind the mirror)
(c) M =l -0.78 /1.95l = 0.4 imes
(d) hi = M * ho = 2 cm