The radius of curvature of a convex mirror is \(-25 \mathrm{~cm} .\) What is its focal length?

Short Answer

Expert verified
Answer: The focal length of the convex mirror is -12.5 cm.

Step by step solution

01

Write down the mirror equation for focal length

The mirror equation for the focal length (f) of a mirror in terms of its radius of curvature (R) is given by: f = R / 2
02

Identify the radius of curvature

The problem tells us that the radius of curvature of the convex mirror is -25 cm. So, we have: R = -25 cm
03

Calculate the focal length

Substituting the given radius of curvature into the mirror equation: f = (-25 cm) / 2 f = -12.5 cm
04

State the answer

The focal length of the convex mirror is -12.5 cm.

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