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)13 cm from the mirror
B)7.0 cm from the mirror
C)4.3 cm from the mirror
D)3.3 cm from the mirror

Question

Quizplus · Accepted Answer

Using 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. Given $f = -3.0$ cm (concave mirror) and $d_o = 10$ cm, we solve for $d_i$. Plugging in the values, we get $\frac{1}{-3.0} = \frac{1}{10} + \frac{1}{d_i}$, which solves to $d_i \approx -4.3$ cm. The negative sign indicates that the image is on the same side as the object, which is characteristic of concave mirrors.

An Object Is 10 Cm in Front of a Concave