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Question:
A convex mirror used for a rear view on an automobile has a radius of curvature of 3.00m. If a bus is located at 5.00m from this mirror ,find the position,nature and size of the image?
Answer:

Given, 

Radius of curvature, R= 3 m

Object distance, u= -5 m

Let the image distance= v

and height of image = h1

therefore,

Focal length, f =R/3 = 3/2 = 1.5 m

Using lens formula,

1/v +1/u = 1/f

1/v= 1/f-1/u 

= 1/1.5 -(-1/5) =0.867m

so, v= 1.15 m

The image is formed at a distance of 1.15 m behind the mirror.

Now, magnification,m = image distance/object distance = -v/u

= -1.15/(-5) = 0.23

So, the image is virtual and erect.

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