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 = +11 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 22 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) r = 2f = 2*22 = 44 cm

b) image distance = i

using mirror equation,

1/f = 1/o + 1/i

1/22 = 1/11 + 1/i

i = -22 cm

image distance = 22 cm to other side of mirror

c) m = - i / 0 = - 11 / -22 = 0.5

d) its virtual

e) non inverted

f) to the opposite side.

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