JAMB - Physics (1999 - No. 20)

The inside portion of part of a hollow metal sphere of diameter 20cm is polished. The portion will therefore form a
concave mirror of focal length 5cm
concave mirror of focal length 10cm
convex mirror of focal length 5cm
convex mirror of focal length 20cm

Explanation

Since diameter of the sphere = 20cm, then, the radius of curvature = 10cm

Focal length, f = \(\frac{R}{2} = \frac{10}{2}\) = 5cm

When the inner/ inside portion of a sphere is polished/coated/painted, the outside becomes the reflecting part and the resulting mirror is called a convex mirror.

Thus, a convex mirror of focal length 5cm is formed.

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