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 = +19 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 14 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

given

focal length, f = 14 cm

and object distance u = 19 cm

a) radius of curvature, r = 2*f

= 2*14

= +28 cm

b) let v is the image distance.

Apply, 1/u + 1/v = 1/f

1/v = 1/f - 1/u

1/v = 1/14 - 1/19

v = 53.2 cm

c)magnification, m = -v/u

= -53.2/19

= -2.8

d)real

e) inverted

f)on the same side

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