PHYSICS · Multi-part · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction
Problem
For a person of height H metres, the eyes are located h metres below the top of the head. A vertical plane mirror is to be mounted on a wall so that the person can see the entire image while standing upright on the floor.
(i) By drawing a labelled ray diagram, derive a general formula for the minimum length L of the mirror required in terms of H and h.
(ii) From your derivation, obtain the vertical distances of the top and bottom edges of the mirror from the level of the eyes.
(iii) Use your formulae to calculate L and the required positions of the mirror edges for a person whose height is 1.80m with eyes 0.10m below the top of the head.