Mirror Equation Video Lessons

Concept

Problem: The virtual image produced by a convex mirror is one-quarter the size of the object. If the object is 31 cm in front of the mirror, what is the image distance? What is the focal length of this mirror?

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:

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

m = 1/4

so = 31 cm

(a)

Using the magnification equation

Problem Details
The virtual image produced by a convex mirror is one-quarter the size of the object. If the object is 31 cm in front of the mirror, what is the image distance? What is the focal length of this mirror?