Miscellaneous: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Miscellaneous. Understanding the underlying formula is key to arriving at the correct answer below:

The resolving power of an optical microscope is inversely proportional to the wavelength of light used, $RP \propto \frac{1}{\lambda}$. Therefore, the ratio of resolving powers is $\frac{RP_1}{RP_2} = \frac{\lambda_2}{\lambda_1} = \frac{6000}{4000} = \frac{3}{2}$.