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Question 16

The focal length $$f$$ is related to the radius of curvature $$r$$ of the spherical convex mirror by:

For a spherical mirror, the focal length $$f$$ is related to the radius of curvature $$r$$ by the formula $$f = \frac{r}{2}$$.

For a convex mirror, the centre of curvature lies behind the mirror (on the same side as the reflected rays). By the sign convention, the radius of curvature $$r$$ of a convex mirror is positive.

Therefore, $$f = +\frac{1}{2}r$$, which is also positive. This is consistent with the fact that a convex mirror has a virtual focus behind the mirror.

Hence, the correct answer is Option B.

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