Spherical mirrors. Object O stands on the central axis of a spherical mirror. Fo

Question

Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +24 centimeters, the type of mirror is convex, and then the distance between the focal point and the mirror is 42 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m. Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side.

Explanation / Answer

ps = 24 c m , f = -42 cm (convex mirror)

(a) R = 2f = -2*42

R = - 84 cm

(b) from mirror equaiton

1/f = 1/u +1/v

-1/42 = 1/24 +1/i

i = -15.3 cm

(c) m = -v/u = 15.3/24

m = +0.64

(d) image is distance is negative , so image is virtual

(e) m is positive , so image is noninverted

(f) opposite side of mirror

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