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Light Reflection and Refraction
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13/08/2021 1:31 pm
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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?
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13/08/2021 1:43 pm
R = 3m, u = -5m
f = \frac{R}{2} = \frac{3}{2} = 1.5 m
We know that
\frac{1}{v} + \frac{1}{u} = \frac{1}{f}
⇒ \frac{1}{v} + \frac{1}{-5} = \frac{1}{1.5}
⇒ \frac{1}{v} =\frac{1}{5} + \frac{2}{3}
= \frac{3 + 10}{15}
= \frac{13}{15}
∴ v = \frac{15}{13}m = 1.15m
The image is formed 1.15m behind the mirror.
The image is virtual and erect.