# An object is 1.0 cm tall and its inverted image is 5.0 cm tall. What is the exact magnification?

## Question:

An object is 1.0 cm tall and its inverted image is 5.0 cm tall. What is the exact magnification?

## Magnification

The magnification of an optical device like a lens or mirror is the ability of the device to increase the size of the image with respect to the size of the object. Mathematically magnification is defined as the ratio of the size of the image to the size of the object.

Data Given

• The size of the object {eq}h_o = 1.0 \ \rm cm {/eq}
• The size of the image {eq}h_i = -5.0 \ \rm cm {/eq} here negative sign indicates the inverted image.

The magnification of an optical device is given by

{eq}\begin{align} m =& \frac{h_i}{h_o} \\ m =& \frac{- 5.0 \ \rm cm}{1.0 \ \rm cm} \\ \color{blue}{\boxed{ \ m \ = \ -5 \ }} \end{align} {/eq}