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A concave mirror with a focal length of 36 $\mathrm{cm}$ produces an image whose distance from the mirror is one-third the objectdistance. Find the object and image distances.

Thus, the object distance from the mirror is $[144 \mathrm{cm}]$Thus, the image distance $d_{i}=48 \mathrm{cm}$

Physics 103

Chapter 26

Geometrical Optics

Wave Optics

Raquel E.

March 1, 2022

A 3 -cm tall light bulb is placed a distance of 22.85 cm from a concave mirror having a focal length of 7.6 cm. Determine the image distance and the image size.

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So for this problem, we are given the focal length of the conclave. Near as 36 centimeters so equals 36 centimeters. We get that the image distance is the distance of the images 1/3 of the object distance. And we want to find out the object and image distances respectively. So first we're gonna use the mirror equation, which is one over f was one over a distance of the image, plus one over distances object of the image. And here we would plug in what we know. Therefore, we have won over 36 equals one over distance of the object, plus one over distance of the object invited by three this therefore, this equals one over 36 equals one over distance of the object, plus three over distance of the object. Therefore, we get that 1/36 centimeters equals four over a distance of the object, then cross multiplying across most. By this, we get that the distance of the object equals four times 36. Therefore, distance of the object equals 144 centimeters from the mirror. And then to find the distance of the image, we were just plug improve with what we know. We know that this is the image equals one third distance of the object. Therefore, we just plug in 1 44 divided by three and therefore we get the distance of the image equals 48.

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