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 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 12 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 objectO or noninverted, and (f) on the same side of the mirror as O or on the opposite side

Explanation / Answer

Given

object distance

s = 24 cm

focal length f = 12 cm

a)

radius of curvature R = 2 * f = 24 cm

b)

for image distance

1/s + 1/s' = 1/f

1/24 + 1/s' = 1/12

s' = 12 cm ----------image distance-----

c)

lateral magnification

m = -s'/s

m = -12 / 24 = -0.5

d)

real

e)

inverted

f) on the same side of mirror

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