Question

A ray diagram can be used to find the location of an object if you are given the location of its image and the focal length of the mirror.

Draw a ray diagram to find the height and position of an object that makes a 2.5-cm-high upright virtual image that appears 9.0 cm behind a convex mirror of focal length 22 cm .

p=

h=

Answer 1

given,

height of image = 2.5 cm

position of image = 9 cm

focal length = 22 cm

by mirrir equation

1 / f = 1 / u + 1 / v

-1 / 22 = 1 / u - 1 / 9

u = 15.231 cm

position of object = 15.231 cm

magnification = position of image / position of object

magnification = 9 / 15.231

magnification = 0.59

magnification = height of image / height of object

0.59 = 2.5 / height of object

height of object = 4.237 cm