A hemispherical security mirror mounted high on a store wall can be modeled as a…
PHYSICS · Multi-part · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction
Problem
A hemispherical security mirror mounted high on a store wall can be modeled as a convex spherical mirror whose radius of curvature is 1.50 m. A customer who is 1.80 m tall stands along the mirror’s central axis and sees an image of herself with a height of 0.15 m.
(a) Calculate how far the customer’s face is from the mirror when the stated image height is observed.
(b) Determine the position of the customer’s image relative to the mirror surface, including the proper algebraic sign for that distance.
(c) State whether the image is upright or inverted and whether it is real or virtual. Explain how the sign of the image distance leads to your conclusion.
(d) If the store wishes to reduce the apparent height of customers to 0.10 m while they stand at the same location found in part (a), compute the radius of curvature a new convex mirror would need to have to achieve this result.