Question

Calculate the focal length of the mirror formed by the convex side of a shiny spoon that has a 1.54 cm radius of curvature. (b) What is its power in diopters?

Answer 1

Explanation:

It is given that,

Radius of curvature of the mirror, R = 1.54 cm

(a) We have to find the focal length of the mirror. The relationship between the focal length and the radius of curvature is given by :

$R=2f$

f = focal length of the mirror

$f=\dfrac{1.54\ cm}{2}$

f = 0.77 cm

(b) The power of mirror is given by the reciprocal of focal length i.e.

Power, $P=\dfrac{1}{f}$

P = 1.29 diopters

Hence, this is the required solution.