Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A camera has a convex lens of focal length . It takes a photo of a friend standing away. How far behind the lens must the sensor be, and what is the magnification? What is the image like?
For a lens, and . The object distance is negative; a convex lens has a positive , a concave lens a negative . A real image has a positive and a negative .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The image. , so .
Step 2. The magnification. .
Answer: the sensor is behind the lens, just past . The image is real, inverted and very small.
Check. The friend is far beyond , so the image is between and , close to .
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