Question

Find the position of image? (radius of curvature is 20cm) ​

Answer 1

Object distance = u = -15 cm

Image distance = +v because it is a convex mirror.

Focal length = R/2 = 20/2 = 10 cm.

According to the formula,

$\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$

$\frac{1}{v} = \frac{1}{f} - \frac{1}{u}$

$\frac{1}{10} - ( - \frac{1}{15} )$

= 1/10 + 1/15

= 3 + 2/30 = 5/30

v = 30/5 = 6 cm.

Image distance is 6 cm.