A light bulb is placed 20 cm in front of a concave mirror with a focal length of 8 cm. How far from the mirror will the image of the light bulb be focused? _______________ Show your work:

Respuesta :

Answer:

13.3 cm

Explanation:

Mirrors work using the principle of refraction.

We can solve this problem by using the mirror equation:

[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]

where

f is the focal length of the mirror

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 = 8 cm is the focal length

p = 20 cm is the distance of the light bulb from the mirror

Solving for q, we find the distance of the image from the mirror:

[tex]\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{8}-\frac{1}{20}=0.075\\q=\frac{1}{0.075}=13.3 cm[/tex]