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Q.

The radius of curvature of a convex mirror is 40 cm. Find its focal length.

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a

80 cm

b

40 cm

c

20 cm

d

10 cm

answer is C.

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Detailed Solution

Concept: Convex or concave mirrors have a radius of curvature that is equal to two times their respective focal lengths. The convex or concave mirror's sphere-like radius is known as the radius of curvature.
Given: Radius of a convex mirror = 40 cm.
Relationship between radius of curvature of convex mirror and its focal length, is given by

f = \frac{R}{2}

Where f is the focal length of the mirror
By substituting the values we get

f = \frac{40}{2}

f = 20 cm

Hence, the correct answer is option 3.

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