Mirror Equation Video Lessons

Concept

Problem: You wish to create an image that is 10 meters from an object. This image is to be upright and half the height of the object. You wish to accomplish this using one spherical mirror. What is the focal length f of the mirror that would accomplish this?

FREE Expert Solution

Mirror equation:

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

Magnification:

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

hi = 0.5ho

Problem Details

You wish to create an image that is 10 meters from an object. This image is to be upright and half the height of the object. You wish to accomplish this using one spherical mirror.

What is the focal length f of the mirror that would accomplish this?