A convex mirror of radius of curvature 30 cm forms an image that is… | JEE Main 2024 (29 Jan, Shift 1)

Q17JEE Main 2024 · 29 JAN · SHIFT 1Easy

Reflection & Mirrors

A convex mirror of radius of curvature $30\text{ cm}$ forms an image that is half the size of the object. The object distance is:

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Answer: (b)

Convex mirror: $f = +\frac{R}{2} = +15\text{ cm}$ ; image is virtual and erect, $m = +\frac{1}{2}$ .
$m = -\frac{v}{u} = \frac{1}{2} \Rightarrow v = -\frac{u}{2}$
$\frac{1}{v} + \frac{1}{u} = \frac{1}{f}: \ -\frac{2}{u} + \frac{1}{u} = -\frac{1}{u} = \frac{1}{15}$
$u = -15\text{ cm}$ , so the answer is (b) $-15$ cm.

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