Final answer:
The radius of curvature of the concave mirror with a focal length of 40.0 cm is 80.0 cm, calculated using the relationship R = 2f.
Step-by-step explanation:
To determine the radius of curvature of a concave mirror with a given focal length, we use the mirror equation.
The relationship between the focal length (f) and the radius of curvature (R) for any mirror is given by R = 2f.
Since the question states the focal point is at a distance of 40.0 cm from the mirror, this means that the focal length f is 40.0 cm. Applying the mirror equation, we find that the radius of curvature R is R = 2 × 40.0 cm = 80.0 cm.
Practice Problems
Given a radius of curvature of 0.8 m for a concave mirror, the focal length f would be half of this, f = 0.8 m / 2 = 0.4 m.