Question

If an object is placed 10 cm from a convex mirror of radius of curvature 60 cm, then find the position of image.

Answer 1

$\huge \fcolorbox{black}{pink}{Solution.}$

Given, object distance, u = –10cm

Radius of curvature, R = 60 cm

∴ Focal length,

$f = R/2 = \frac{60}{2} = 30 \: cm$

∵ By mirror formula,

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

$\frac{1}{v} =\frac{1}{f} - \frac{1}{u} = \frac{1}{30} - (- \frac {1}{10}) = \frac{4}{30}$

$v = 7.5 \: cm$

Answer 2

$\huge \fcolorbox{black}{pink}{Solution.}$

Given, object distance, u = –10cm

Radius of curvature, R = 60 cm

∴ Focal length,

$f = r \: 2 = \frac{60}{2} = 30 \: cm$

∵ By mirror formula,

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

$\frac{1}{v} =\frac{1}{f} - \frac{1}{u} = \frac{1}{30} - (- \frac {1}{10}) = \frac{4}{30}$

$v = 7.5 \: cm$