# Problem: You have a concave spherical mirror with a 13.5 cm radius of curvature. You place an object on the mirror's axis, 16.3 cm in front of the mirror.How far is the object's image from the mirror?_________ cmIf it can be determined, is the image real or virtual?a) Realb) Cannot be determinedc) VirtualIf it can be determined, is the image upright or inverted with respect to the object? a) Uprightb) Cannot be determinedc) Inverted

###### FREE Expert Solution

The mirror equation:

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

f = r/2  = 13.5 cm / 2 = 6.75 cm

so = 16.3 cm

$\begin{array}{rcl}{\mathbf{s}}_{\mathbf{i}}& \mathbf{=}& {\mathbf{\left(}\frac{\mathbf{1}}{\mathbf{f}}\mathbf{-}\frac{\mathbf{1}}{{\mathbf{s}}_{\mathbf{o}}}\mathbf{\right)}}^{\mathbf{-}\mathbf{1}}\\ & \mathbf{=}& {\mathbf{\left(}\frac{\mathbf{1}}{\mathbf{6}\mathbf{.}\mathbf{75}}\mathbf{-}\frac{\mathbf{1}}{\mathbf{16}\mathbf{.}\mathbf{3}}\mathbf{\right)}}^{\mathbf{-}\mathbf{1}}\end{array}$

###### Problem Details

You have a concave spherical mirror with a 13.5 cm radius of curvature. You place an object on the mirror's axis, 16.3 cm in front of the mirror.

How far is the object's image from the mirror?

_________ cm

If it can be determined, is the image real or virtual?

a) Real

b) Cannot be determined

c) Virtual

If it can be determined, is the image upright or inverted with respect to the object?

a) Upright

b) Cannot be determined

c) Inverted