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.

Answer 1

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.