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Ray Optics And Optical Instruments

Question
CBSEENPH12040118

The ratio of resolving powers of an optical microscope for two wavelengths λ1 = 4000 Å and λ2 = 6000 Å is

  • 8 : 27

  • 9:4

  • 3:2

  • 16:81

Solution

C.

3:2

Resolving space power space proportional to space 1 over straight lambda
straight R subscript 1 over straight R subscript 2 space equals space straight lambda subscript 2 over straight lambda subscript 1
space equals space fraction numerator 6000 space straight Å space over denominator 4000 space straight Å space end fraction
space equals space 3 over 2