Question

A concave (convergent) mirror has a focus of 3.4 cm. A tree that is 0.5cm tall is situated 4.5 cm away from the mirror. Calculate the placement of the image using a formula.
Please please let me know what formula to use at the very least, I can obviously solve it on my own I just have no idea what formula I should be using. If you choose to solve it too that would be great!!

Answer 1

The image position is 13.9 cm from the mirror

Explanation:

To solve this problem, we can use the mirror equation:

$\frac{1}{f}=\frac{1}{p}+\frac{1}{q}$

where

f is the focal length

p is the distance of the object from the mirror

q is the distance of the image from the mirror

In this problem, we have:

f = 3.4 cm is the focal length of the mirror (positive for a concave mirror)

p = 4.5 cm is the position of the object (the tree)

Solving the equation for q, we find the position of the image:

$\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{3.4}-\frac{1}{4.5}=0.0719 cm^{-1}\\q=\frac{1}{0.0719}=13.9 cm$

Learn more about mirrors:

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