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 40 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 = 80 cm

(b) : 1/f = 1/v +1/u

1/40 = 1/v + 1/24

1/v = 1/40 - 1/24

v - 60 cm

image distance is 60 cm

(c) : magnification , m = -v/u

m = 60 / 24

m = 2.5

(d): image is virtual

(e) : image is noninverted

(f) : imahe is on the opposite side

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