Final answer:
The magnification of an object is calculated as the ratio of the image height to the object height. With an object height of 1.0 cm and an image height of 5.0 cm, the exact magnification is 5.
Step-by-step explanation:
The magnification of an optical system, such as a lens or mirror, is a measure of how much the image size is enlarged or reduced relative to the object size. It is defined as the ratio of the height of the image (hi) to the height of the object (h-o). This can be represented by the equation m = hi/h-o.
In the case provided, the object is 1.0 cm tall and the image is 5.0 cm tall. To find the magnification, we simply divide the image height by the object height:
m = hi/h-o = 5.0 cm / 1.0 cm = 5
Therefore, the exact magnification is 5.