Question Detail

PHY 104 Reflection and Refraction of Light Objective Question

Question

For a woman 1.60 m tall, with her eyes 10 cm below the top of her head, what is the minimum height a vertical plane mirror must be for her to see her whole body, and how high off the floor must its lower edge be?
Options
A 80 cm high, 75 cm off the floor
Correct Answer
B 160 cm high, 0 cm off the floor
C 75 cm high, 80 cm off the floor
D 150 cm high, 10 cm off the floor
Correct Answer

Option A is the correct answer.

Detailed Explanation

Page 16 (Solution for Example 32-2) states: "Geometry then shows that the mirror must be 80 cm high, with its bottom 75 cm off the floor." To see her feet, the bottom of the mirror needs to be halfway between her eyes and her feet. To see the top of her head, the top of the mirror needs to be halfway between her eyes and the top of her head.

Hint

The mirror needs to be half the height of the person, and its bottom edge positioned based on the eye level.

Question Info