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