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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.