A) - 20 cm
B) 30 cm
C) 20 cm
D) - 30 cm
Correct Answer: C
Solution :
The focal length of the convex lens \[f=\frac{1}{P}m\] or \[f=\frac{1}{5}\times 100\,\,cm\] or \[f=20\,\,cm\] From the relation, we get \[\frac{1}{f}=\frac{1}{v}-\frac{1}{u}\] Here,\[f=20\,\,cm,\,\,u=-10\,\,cm\] Therefore,\[\frac{1}{v}=\frac{1}{u}+\frac{1}{f}\] \[=\frac{1}{-10}+\frac{1}{20}\] \[=\frac{-2+1}{20}=\frac{1}{20}\] Hence, \[v=-20\,\,cm\] Therefore, the image will be formed at a distance of \[20\,\,cm\] on the same side of the object.
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