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MHT CET · Physics · Ray Optics

Two thin lenses having \(R_1, R_2\) as the radii of curved surfaces are kept coaxially together. Their power is proportional to

  1. A \(\mathrm{R}_1+\mathrm{R}_2\)
  2. B \(\mathrm{R}_1-\mathrm{R}_2\)
  3. C \(\frac{\mathrm{R}_1 \mathrm{R}_2}{\mathrm{R}_1+\mathrm{R}_2}\)
  4. D \(\frac{\mathrm{R}_1+\mathrm{R}_2}{\mathrm{R}_1 \mathrm{R}_2}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{\mathrm{R}_1+\mathrm{R}_2}{\mathrm{R}_1 \mathrm{R}_2}\)

Step-by-step Solution

Detailed explanation

\(P_{eq} = (n-1)\left(\frac{1}{R_1} + \frac{1}{R_2}\right)\) \(P_{eq} \propto \frac{R_1+R_2}{R_1 R_2}\)