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Question

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

A
v=1.15 m, virtual Image
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B
v=1.5 m, virtual Image
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C
v=0.86 m, virtual Image
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D
v=0.86 m, real Image
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Solution

The correct option is A v=1.15 m, virtual Image
Radius of curvature =3 m

We know that

Focal length f=R2=32=+1.5 m

[Since the focus of convex mirror is behind the mirror, the focal length will be positive].

Now,

Bus (object) is placed in front of the mirror.

Object distance will be negative

Object distance =u=5 m

Let the image distance be v.

Then, v=ufuf
v=(5)(+1.5)51.5+1.15 m

In a convex mirror, virtual image is formed for a real object.
So, option (a) is correct.

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