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

(1) 9 : 4                                               (2) 3 : 2

(3) 16 : 81                                           (4) 8 : 27

Solution: Answer (2)

We know that the resolving power is inversely proportional to the wavelength. So,

\frac{R{{P}_{1}}}{R{{P}_{2}}}=\frac{{{\lambda }_{2}}}{{{\lambda }_{1}}}=\frac{6000}{4000}

\frac{R{{P}_{1}}}{R{{P}_{2}}}=\frac{3}{2}