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An object is placed in front of a concave mirror whose radius of curvature is 12cm. If ...
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An object is placed in front of a concave mirror whose radius of curvature is 12cm. If the magnification of the Image produced is 1.5, how far is the object from the mirror?
A.
8cm
B.
10cm
C.
15cm
D.
18cm
E.
20cm
Show Answer
Show Explanation
Correct Answer: B
Explanation
Radius of curvature(r)=12cm
focal length(F) = r ÷ 2 → 12 ÷ 2 = 6cm
therefore F = 6cm
magnification(M) = v ÷ u
1.5 = v ÷ u
:v = 1.5u
Using mirror formula
1/f =1/v + 1/u
\(\frac{1}{6}\) =\(\frac{1}{1.5u}\) + \(\frac{1}{u}\)
\(\frac{1}{6}\) = \(\frac{1 + 1.5}{1.5u}\)
\(\frac{1}{6}\) = \(\frac{2.5}{1.5u}\)
1 * 1.5u = 2.5 * 6
u = \(\frac{15}{1.5}\) = 10
therefore object distance =10cm.
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