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 = +17 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 13 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

a)

radius of curvature = R = 2f = 2*13 = 26 cm

b)

from mirror equation

1/ps + 1i = 1/f

1/17 + 1/i = 1/13

i = 55.25 cm

c)

m = -i/ps = -3.25

magnification = 3.25

d)

real

e)

inverted

f)

on the same side of the mirror

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