# Problem: The diameter of Mars is 6794 km, and its minimum distance from the earth is 5.58×107 km. When Mars is at this distance, find the diameter of the image of Mars formed by a spherical, concave telescope mirror with a focal length of 1.60 m.

###### FREE Expert Solution

Magnification:

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

Lens maker equation:

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

###### Problem Details

The diameter of Mars is 6794 km, and its minimum distance from the earth is 5.58×107 km. When Mars is at this distance, find the diameter of the image of Mars formed by a spherical, concave telescope mirror with a focal length of 1.60 m.