Assertion :If radius of curvature of a mirror is doubled, its focal length is halved. Reason: Radius of curvature $=$ 2 times the focal length.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is D Assertion is incorrect but Reason is correct
The relation between focal length $(f)$ and radius of curveture $(R)$ .
We have $f = \frac{R}{2}$ where $f$ is the focal length and $R$ is the Radius of curvature.
$⟹ f \propto R$ .
Hence if radius of curvature of a mirror is doubled, its focal length is double.

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