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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. - CBSE Class 10 - Science

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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.

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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.
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