Thin Lens And Lens Maker Equations Video Lessons

Concept

# Problem: A shopper standing 3.00 m from a convex security mirror sees his image with a magnification of 0.250.(a) Where is his image?(b) What is the focal length of the mirror?(c) What is its radius of curvature?

###### FREE Expert Solution

Lens maker equation:

$\overline{)\frac{\mathbf{1}}{{\mathbf{s}}_{\mathbf{o}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{s}}_{\mathbf{i}}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{f}}}$

Magnification:

$\overline{){\mathbf{m}}{\mathbf{=}}\frac{\mathbf{-}{\mathbf{s}}_{\mathbf{i}}}{{\mathbf{s}}_{\mathbf{o}}}}$

Focal length from the radius of curvature is:

$\overline{){\mathbf{f}}{\mathbf{=}}\frac{\mathbf{R}}{\mathbf{2}}}$

###### Problem Details

A shopper standing 3.00 m from a convex security mirror sees his image with a magnification of 0.250.

(a) Where is his image?

(b) What is the focal length of the mirror?

(c) What is its radius of curvature?