Calculate object and image distances for a concave mirror with a focal length of 15 cm, given the image is real, inverted, and magnified three times.

Here are the solutions to the problems based on your notes:

: Finding Object and Image Distances

Given:

• Magnification ($m$) is such that $V = 3U$ (from $m = V/U = 3$).
• Focal length ($F$) = $15 \text{ cm}$.

We will assume this is a concave mirror forming a real, inverted, and magnified image. For a real image, the magnification $m = -3$.
Therefore, $m = -\frac{V}{U} \implies -3 = -\frac{V}{U} \implies V = 3U$.
For a concave mirror, the focal length is negative, so $f = -15 \