an object that is 8 cm tall is located 2.5 m in front of a plane mirror. The image formed by the mirror appears to be. Find di a

Question

3 years ago

15

nd whether behind or in front of mirror

1 answer:

UkoKoshka [18] · Answer 1 · 2022-05-05T04:01:38+03:00

The image is at 2.5 m behind the mirror (virtual image)

Explanation:

We can solve the problem by using the mirror equation:

$\frac{1}{f}=\frac{1}{d_o}+\frac{1}{d_i}$

where

f is the focal length of the mirror

$d_o$ is the distance between the object and the mirror

$d_i$ is the distance between the image and the mirror

For a plane mirror, the focal length is infinite:

$f=\infty$

And in this problem, the distance of the object from the mirror is

$d_o = 2.5 m$

Substituting and solving for $d_i$ , we find the location of the image:

$0=\frac{1}{d_o}+\frac{1}{d_i}\\d_i = -d_o = -2.5 m$

And the negative sign means that the image is located behind the mirror, so it is virtual.

Learn more about reflection and refraction:

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