Question

(a) Calculate the focal length of the mirror formed by the shiny back of a spoon that has a 3.00 cm radius of curvature.

(b) What is its power in diopters?
a) 1.50 cm, 2.00 D
b) 3.00 cm, 1.00 D
c) 6.00 cm, 0.50 D
d) 9.00 cm, 0.33 D

Answer 1

The focal length of the mirror formed by the shiny back of the spoon is 1.50 cm, and its power is 2.00 D.

Step-by-step explanation:

To calculate the focal length of a mirror formed by the shiny back of a spoon with a 3.00 cm radius of curvature, we can use the formula:

focal length = radius of curvature / 2

Plugging in the given value, we get:

focal length = 3.00 cm / 2 = 1.50 cm

To find the power of the mirror in diopters, we can use the formula:

power = 1 / focal length

Substituting the calculated focal length, we get:

power = 1 / 1.50 cm = 2.00 D