Question

a)what isthe relation between critical angle and refractive index of a material

b)does critical angle depend on the colour of light?explain

Answer 1

The relationship between refractive index and critical angle is as follows
${}^1{\mu }_2=\frac{1}{\sin C}$ (where C is the critical angle)
2> yes critical angle depends upon light because refractive index depends upon critical angle and refractive index also depends upon wavelength of light $\lambda$ which are describe below
$$\begin{gathered} \sin C\infty \frac{1}{\mu } \\ and\mu \infty \frac{1}{\lambda } \\ henceputting\mu incriticalangleformula \\ \sin C\infty \frac{1}{{\displaystyle \frac{1}{\lambda }}} \\ \sin C\infty \lambda \end{gathered}$$