Question

An object is located 45.0 cm from a concave mirror. The focal length is 15.0

Answer 1

The image distance is 22.5 cm

Explanation:

We can solve the problem by using the mirror equation:

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

where

f is the forcal length

p is the distance of the object from the mirror

q is the distance of the image from the mirror

For this problem, we have:

f = +15.0 cm (focal length is positive  for a concave mirror)

p = 15.0 cm (distance of the object)

Therefore, solving  for the image distance, we find:

$\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{15}-\frac{1}{45}=\frac{2}{45}\\\rightarrow q=\frac{45}{2}=22.5 cm$

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