# Problem: The virtual image produced by a convex mirror is one-quarter the size of the object. If the object is 34 cm in front of the mirror, a. what is the image distance?b.  What is the focal length of this mirror?

###### FREE Expert Solution

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

Magnification:

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

80% (473 ratings) ###### Problem Details

The virtual image produced by a convex mirror is one-quarter the size of the object. If the object is 34 cm in front of the mirror,

a. what is the image distance?

b.  What is the focal length of this mirror?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Mirror Equation concept. You can view video lessons to learn Mirror Equation. Or if you need more Mirror Equation practice, you can also practice Mirror Equation practice problems.