Question

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.

Answer 1

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.