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Mirror Formula

An object is ...

Question

An object is kept at a distance of $15 c m$ from a concave mirror whose radius of curvature is $30 c m$ . What is the position of the image?

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Solution

step 1
Given that, object distance, $u = - 15 c m$
The radius curvature of the mirror, $R = - 30 c m$
The focal length of the mirror, $f = \frac{R}{2} = - 15 c m$
Let $v$ be the image distance from the mirror.
step 2
Applying the mirror formula $\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$ , we get,
$\Rightarrow \frac{1}{- 15} = \frac{1}{v} + \frac{1}{- 15} \Rightarrow \frac{1}{v} = 0 \Rightarrow v = \infty$
Hence, the image is formed at infinity.

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