# An Object is Placed at a Distance of 10 Cm from a Convex Mirror of Focal Length 5 Cm. (A) Draw a Ray-diagram Showing the Formation Image (B) State Two Characteristics of the Image Formed (C) Calculate the Distance of the Image from Mirror. - Science

An object is placed at a distance of 10 cm from a convex mirror of focal length 5 cm.

(a) Draw a ray-diagram showing the formation image
(b) State two characteristics of the image formed
(c) Calculate the distance of the image from mirror.

#### Solution

(a) Ray Diagram-

(b) Following are the characteristics of the image formed:

(1) It is virtual and erect.
(2) It is smaller than the object.

(c) Distance of the object 'u' = -10 cm
Focal length of the convex mirror is 5 cm.
We have to find the distance of the image 'v'.
Using the mirror formula, we get

1/f=1/v+1/u

⇒1/5=1/v+1/-10

⇒1/5=1/v-1/10

⇒1/5+1/10=1/v

⇒2/10+1/10=1/v

⇒1/v=3/10

⇒v=10/3 ⇒v=3.3 cm

Thus, the distance of the image is 3.3 cm behind the mirror.

Concept: Convex Mirror
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#### APPEARS IN

Lakhmir Singh Class 10 Physics (Science)
Chapter 4 Reflection of Light
Q 2 | Page 209