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

Answer:

The power of the mirror in diopters is 58.8 D

Explanation:

Given;

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

The focal length of a mirror is given by;

$f = \frac{R}{2} \\\\f = \frac{0.034}{2} \\\\f = 0.017 \ m$

The focal length of the mirror is 0.017 m

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

$P = \frac{1}{f}$

where;

P is the power of the mirror

f is the focal length

$P = \frac{1}{f}\\\\P= \frac{1}{0.017}\\\\P = 58.8 \ D$

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