A point object is placed at a distance of 20cm from a thin plane convex lens of focal length 15cm. The plane surface is silvered the image created by system is at

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60 cm to the left of the system

60 cm to the right of the system

12 cm to left of the system

12 cm to right of the system

answer is C.

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Detailed Solution

$\frac{1}{f} = \frac{2}{15} = \frac{1}{7.5} f = 7.5 cm \Rightarrow \frac{1}{v} + \frac{1}{u} = \frac{1}{f}$

$\begin{aligned} \frac{1}{v} + \frac{1}{(- 20)} = - \frac{2}{15} \\ \Rightarrow v = - 12 cm \end{aligned}$

Therefore, the final image is formed at 12cm to the left of the lens system.

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