Spherical mirrors. Object 0 stands on the central axis of a spherical mirror. Fo

Question

Spherical mirrors. Object 0 stands on the central axis of a spherical mirror. For this situation object distance is p_s = +18 cm, the type of mirror is convex, and then the distance between the focal point and the mirror is 23 cm (without proper sign). Find the radius of curvature r (including sign), the image distance d, and the lateral magnification m. Also, determine whether the image is real or virtual, inverted from object O or noninverted, and on the same side of the mirror as O or on the opposite side.

Explanation / Answer

let,

object distance is u=18cm

image disatnce is v

focal length is f=-23cm ( for convex mirror)

a)

radius of curvature R=2*f

R=2*23

R=46cm

b)

use,

1/u+1/v=1/f

1/18+1/v=1/(-23)

===> v=-10.1cm

image distance v=-10.1 cm

c)

lateral magnification, m=-v/u

m=-(-10.1/18)

m=0.56

d)

image is real

e)

image is non inverted

f)

image forms on the opposite side of O

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