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WBJEE · Physics · Ray Optics

A plano-convex lens \((f=20 \mathrm{~cm})\) is silvered at plane surface. Now focal length will be :

  1. A \(20 \mathrm{~cm}\)
  2. B \(40 \mathrm{~cm}\)
  3. C \(30 \mathrm{~cm}\)
  4. D \(10 \mathrm{~cm}\)
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Answer & Solution

Correct Answer

(D) \(10 \mathrm{~cm}\)

Step-by-step Solution

Detailed explanation

\[ \begin{aligned} & \text { Hints : } \mathrm{P}=2 \mathrm{P}_{\mathrm{L}}+\mathrm{P}_{\mathrm{M}} \\ & \mathrm{P}_{\mathrm{M}}=0 \\ & \mathrm{P}=\frac{1}{f} \times 2=\frac{2}{f} \\ & -\frac{1}{\mathrm{~F}}=\frac{2}{f} \\ & \mathrm{~F}=-\frac{f}{2} \end{aligned} \]
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