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Question
A convex mirror used as a rear-view mirror in a car has a radius of curvature of 3 m. If a bus is located at a distance of 5 m from this mirror, find the position of image. What is the nature of the image?
Solution
A convex mirror used as a rear-view mirror in a car has a radius of curvature of 3 m. If a bus is located at a distance of 5 m from this mirror, find the position of image. What is the nature of the image?
`1/f=1/v+1/u`
⇒`1/1.5+1/v+1/-5`
⇒`10/15+1/5=1/v`
⇒`10/15+3/15=1/v`
⇒`1/v=13/15`
=`v=15/13=1.15m`
Thus, the distance of the image 'v' is 1.15 m behind the mirror.
Now, using the magnification formula, we get
`m=(-v)/u`
`m=((-1.15))/-5 =115/500=0.223`
Thus, the image is virtual, erect and smaller in size.
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