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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

ConceptReflection of Light Image Formation by Spherical Mirrors - Convex Mirror

#### 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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