A convex mirror used for rear view on an automobile has a radius of curvature 2 m . If a bus is located at 4 m fro. this mirror .

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   given :

   R=3m

   f=R/2=3/2=1.5m

   u=5m

   v=?

   Mirror formula:

   1/f=1/u+1/v

   by sign conventions:

   1/1.5=1/-5+1/v

   1/v=1/1.5+1/5⇒6.5/7.5

   v=7.5/6.5

   =1.15m

   ∴The image is virtual seen at the back of mirror.

   m=hi/ho=-v/u

   -1.15/-5=0.23

   ∴Image is erect and diminished in size by a factor of 0.23

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