The resolving power (\(P\)) of a microscope is given by: \[ P = \frac{2 \mu \sin \theta}{1.22 \lambda}, \] where: \(\mu\) is the refractive index of the medium, \item \(\lambda\) is the wavelength of light.
To improve resolving power: Increasing \(\mu\) (refractive index) improves \(P\), Decreasing \(\lambda\) also increases \(P\).
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is:
A device that processes light waves (or photons), either to enhance an image for viewing or to analyze and determine its characteristic properties is called an optical instrument (or "optic" for short).