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Light Reflection and Refraction
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11/08/2021 2:32 pm
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A concave mirror produces three times enlarged virtual image of an object placed at 10 cm in front of it. Calculate the radius of curvature of the mirror.
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11/08/2021 2:36 pm
m = 3 (virtual image)
u = -10 cm
R = ?
We know that
m = -\(\frac{v}{u}\)
3 = \(\frac{-v}{-10}\)
v = 30 cm
and
\(\frac{1}{v}\) + \(\frac{1}{u}\) = \(\frac{1}{f}\)
\(\frac{1}{30}\) + \(\frac{1}{-10}\) = \(\frac{1}{f}\)
\(\frac{-20}{300}\) = \(\frac{1}{f}\)
f = -15 cm
Radius of curvature = R = 2f
= 2 x (-15) = -30 cm