Question

Suppose you are 80 cm from a plane mirror. What area of the mirror is used to reflect the rays entering one eye from a point on the tip of your nose if your pupil diameter is 6.7 mm ?

Answer 1

Answer:

area = 3.5238 ×$10^{-5}$ m²

Explanation:

Given data

distance = 80 cm

diameter = 6.7 mm

to find out

area of the mirror

solution

we know that by similar triangles

diameter of the spot is use by mirror

so

we calculate radius by diameter is 6.7 mm

so radius = 6.7 /2 = 3.35 mm

radius = 0.00335 m

so

area = πr²

area = π(0.00335)²

area = 3.5238 ×$10^{-5}$ m²