An object is 10 cm in front of a concave spherical mirror with a focal length of magnitude 3.0 cm. Where is the image?
A) 7.0 cm from the mirror
B) 4.3 cm from the mirror
C) 3.3 cm from the mirror
D) 13 cm from the mirror

Question

Quizplus · Accepted Answer

The mirror equation, $ \frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} $, where $f$ is the focal length, $d_o$ is the object distance, and $d_i$ is the image distance, can be used to find the image distance. Given $f = -3.0 \, \text{cm}$ (negative because it's a concave mirror) and $d_o = 10 \, \text{cm}$, solving for $d_i$ gives $d_i \approx 4.3 \, \text{cm}$ from the mirror, indicating the image is formed 4.3 cm in front of the mirror.

An Object Is 10 Cm in Front of a Concave