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A 4.5 cm object is placed perpendicular ...

A 4.5 cm object is placed perpendicular to the axis of a convex mirror of focal length 15 cm at a distance of 12 cm. The size of the image is

A

6.0 cm

B

4.5 cm

C

3.0 cm

D

2.5 cm

Text Solution

Verified by Experts

The correct Answer is:
D
For the convex mirror, f=+15 cm, u=-12 cm
`because (1)/(v) +(1)/(u) =(1)/(f)`
`(1)/(v) =(1)/(v) -(1)/(u)=(1)/(15)-((1)/(-12))`
`=(1)/(15) +(1)/(12)=(9)/(60)`
`therefore v=(60)/(9) cm`
`therefore M=(I)/(O) =(v)/(u) =(60)/(9xx12)=(5)/(9)`
`therefore (I)/(4.5) =(5)/(9) therefore I=(5)/(9) xx (9)/(2)=(5)/(2) =2.5 cm`
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