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The ratio of resolving powers of an optical microscope for two wavelengths $\lambda_1 = 4000$ Å and $\lambda_2 = 6000$ Å is
Explanation
Resolving power is inversely proportional to wavelength.
Detailed Solution
Resolving power $\propto \frac{1}{\lambda}$
$\frac{R_1}{R_2} = \frac{\lambda_2}{\lambda_1} = \frac{6000\ Å}{4000\ Å} = \frac{3}{2}$