Physics - Wave Optics Question with Solution | TestHub

The resolving power of a compound microscope is given by the formula:

$\text{Resolving Power}=\frac{2\mu \sin \theta }{\lambda }$

where $\mu$ is the refractive index of the medium between the object and the objective lens, $\theta$ is the half-angle of the cone of light from the object to the objective lens, and $\lambda$ is the wavelength of light used.

To improve or increase the resolving power, one can:
1. Increase the refractive index $\mu$ of the medium.
2. Increase the angle $\theta$ (by increasing the diameter of the objective lens).
3. Decrease the wavelength $\lambda$ of the light used.

Therefore, increasing the refractive index of the medium between the object and the objective lens will improve the resolving power.

Answer: increase the refractive index of the medium between the object and objective lens.