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Light Reflection and Refraction
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11/08/2021 2:16 pm
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A large concave mirror has a radius of curvature of 1.5 m. A person stands 10 m in front of the mirror. Where is the person’s image?
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11/08/2021 2:25 pm
R = -1.5 cm (concave mirror)
u = -10m
f = \(\frac{R}{2}\) =\(\frac{-1.5}{2}\)
= -0.75 cm
We know
\(\frac{1}{v}\) + \(\frac{1}{u}\) = \(\frac{1}{f}\)
⇒ \(\frac{1}{v}\) + \(\frac{1}{-10}\) = \(\frac{1}{-0.75}\)
⇒ \(\frac{1}{v}\) = \(\frac{1}{10}\) - \(\frac{1}{0.75}\)
= \(\frac{1}{10}\) - \(\frac{100}{75}\)
= \(\frac{1}{10}\) - \(\frac{4}{3}\)
= \(\frac{3 - 40}{30}\) = - \(\frac{37}{30}\)
v = - \(\frac{37}{30}\) = -0.81 m
The person's image will be 0.81 m in front of concave mirror.