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An Object 1 Cm Tall is Placed 30 Cm in Front of a Convex Mirror of Focal Length 20 Cm. Find the Size and Position of the Image Formed by the Convex Mirror. - Science

An object 1 cm tall is placed 30 cm in front of a convex mirror of focal length 20 cm. Find the size and position of the image formed by the convex mirror. 

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Solution

Given,
The mirror is a diverging mirror, i.e. convex mirror.
Height of the object 'ho' = 1 cm
Distance of the object from the mirror 'u' = -30 cm
Focal length of the convex mirror 'f' = 20 cm
We have to find the position of the image 'v', height of the image 'hi' and its magnification 'm'.
Using the mirror formula, we get 
`1/f=1/v+1/u` 
`1/20=1/v+1/-30` 
`1/30+1/20=1/v` 
`2/60+3/60=1/v` 
`5/60=1/v` 
`v=60/5= 12 cm` 
The image will be at a distance of 12 cm behind the mirror .
Now, using the magnification formula, we get 
`m=h_i/h_o` 
`0.4=h_i/1` 
`h_i=0.4 cm `
Therefore, the height of the image is 0.4 cm.
 
Concept: Convex Mirror
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APPEARS IN

Lakhmir Singh Class 10 Physics (Science)
Chapter 4 Reflection of Light
Q 9 | Page 209
Lakhmir Singh Class 10 Physics (Science)
Chapter 4 Reflection of Light
Q 9 | Page 209
Lakhmir Singh Class 10 Physics (Science)
Chapter 4 Reflection of Light
Q 9.2 | Page 209
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