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Q.

The ratio of resolving powers of an optical microscope for two wavelengths λ1=4000A0 and λ2=6000\AA is

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a

9 : 4

b

3 : 2

c

16 : 81

d

8 : 27

answer is B.

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Detailed Solution

The resolving power of an optical microscope, RP=2μsinθλ For wavelength λ1=4000A0 , resolving power will be RP1=2μsinθ4000                        . . . . (i) For wavelength λ2=6000A,0 resolving power will be RP2=2μsinθ6000                          . . . .(ii)On dividing eqn. (i) by eqn. (ii) RP1RP2=60004000=32
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The ratio of resolving powers of an optical microscope for two wavelengths λ1=4000A0 and λ2=6000\AA is