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 = +29 centimeters, the type of mirror is convex, and then the distance between the focal point and the mirror is 38 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)

the radius of curvature is = 2 * f = 2 * 38 = 76 cm

b)

by using the mirror formula

1 / f = 1 / v + 1 / u

v = 1 / ( 1 / f - 1 / u)

v = 1 / ( 1 / 38 - 1 / -29)

v = 16.47 cm

c)

m = - v / u

m = - 16.47 / - 29

m = 0.567

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