Question

Calculate the focal length (in m) of the mirror formed by the shiny bottom of a spoon that has a 3.40 cm radius of curvature. m (b) What is its power in diopters? D

Answer 1

The power of the mirror in diopters is 58.8 D

Step-by-step explanation:

Given;

radius of curvature of the spoon, R = 3.4 cm = 0.034 m

The focal length of a mirror is given by;

`f = (R)/(2) \\\\f = (0.034)/(2) \\\\f = 0.017 \ m`

The focal length of the mirror is 0.017 m

(b) The power of the mirror is given by;

`P = (1)/(f)`

where;

P is the power of the mirror

f is the focal length

`P = (1)/(f)\\\\P= (1)/(0.017)\\\\P = 58.8 \ D`

Thus, the power of the mirror in diopters is 58.8 D