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A convex mirror has its radius of curvature 20cm. Find the position of the image of an object placed at a distance of 12cm from the convex side of mirror.

User Albrnick
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1 Answer

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Given:

Radius of the curvature R = 20cm

The distance of the object = 12 cm

Required:

Find the position of the image.

Step-by-step explanation:

By using the mirror formula:


(1)/(u)+(1)/(v)=(1)/(f)

Where u is negative.


\begin{gathered} f=(R)/(2) \\ =(20)/(2) \\ =10\text{ cm} \end{gathered}
(1)/(v)=(1)/(f)-(1)/(u)

Since f is negative for concave.


\begin{gathered} (1)/(v)=-(1)/(f)-(1)/(u) \\ (1)/(v)=-(1)/(10)-(1)/(12) \\ (1)/(v)=(-6-5)/(60) \\ (1)/(v)=(-11)/(60) \end{gathered}

So


v=(60)/(11)\text{ cm}

Final answer:

The distance of the image is


(60)/(11)\text{ cm}

and it is negative.

User Jondlm
by
8.0k points
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