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Question

# A convex mirror has a focal length f. A real object is placed at a distance f in front of it from the pole, produces an image at: (R is the radius of curvature of the convex mirror).

A
Infinity
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B
R4
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C
R
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D
R2
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Solution

## The correct option is B R4Sign convention: The direction along the ray is taken as positive. Given that, Focal length of the convex mirror, f=R2 The object distance, u=−f Let the image if formed at v By using mirror formula: 1v+1u = 1f 1v=1f−1u Substitute values ⇒1v= 1f−1(−f) ⇒1v=2f ⇒v=f2 Substitute f=R2 ∴v=R4 Hence, option (b) is correct.

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