#### Question

An object is placed at a distance of 6 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image.

#### Solution

Distance of the object (u) = -6cm

Focal length of the convex mirror (f) = 12 cm

We have to find the position of the image (v) and the nature of the image.

Using the mirror formula, we get:

⇒`1/f=1/v+1/u`

⇒`1/12=1/v+1/-6`

⇒`1/12=1/v-1/6`

⇒`1/12+1/6=1/v`

⇒`1/12+2/12=1/v`

⇒`1/v=3/12`

⇒`1/v=1/4`

v=4 cm

Thus, the distance of the image (v) is 4 cm behind the mirror.

Now, using the magnification formula, we get:

`m=(-v)/u`

`m=(-4)/-6=2/3`

m=0.6

Thus, the image is virtual, erect and small.

Is there an error in this question or solution?

Solution An Object is Placed at a Distance of 6 Cm from a Convex Mirror of Focal Length 12 Cm. Find the Position and Nature of the Image. Concept: Reflection of Light - Image Formation by Spherical Mirrors - Convex Mirror.