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Physics · PYQ NEET UG 2017

हिन्दी

The ratio of resolving powers of an optical microscope for two wavelengths \( \lambda_1 = 4000\text{ \AA} \) and \( \lambda_2 = 6000\text{ \AA} \) is

  1. \( 9:4 \)
  2. \( 3:2 \)
  3. \( 16:81 \)
  4. \( 8:27 \)

Correct answer · Option 2

\( 3:2 \)

Explanation

Resolving power of microscope \( RP = \frac{2n\sin\theta}{\lambda} \), so \( RP \propto \frac{1}{\lambda} \). Thus \( \frac{RP_1}{RP_2} = \frac{\lambda_2}{\lambda_1} = \frac{6000}{4000} = \frac{3}{2} \).
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