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

12 cm to the right of the system

answer is C.

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Detailed Solution

Effective focal length of system,

$\frac{1}{f_{net}} = \frac{1}{f_{m}} - 2 (\frac{1}{f_{l}}) = \frac{1}{\infty} - 2 (\frac{1}{15}) = - \frac{2}{15}$

Using mirror formula,

$\frac{1}{v} + \frac{1}{(- 20)} = - \frac{2}{15}$

$\Rightarrow v = - 12 cm$

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

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