Critical angle:

$\overline{){{\mathbf{\theta}}}_{{\mathbf{c}}}{\mathbf{=}}{\mathbf{s}}{\mathbf{i}}{{\mathbf{n}}}^{\mathbf{-}\mathbf{1}}{\mathbf{\left(}}\frac{{\mathbf{\eta}}_{\mathbf{2}}}{{\mathbf{\eta}}_{\mathbf{1}}}{\mathbf{\right)}}}$

**(a)**

η_{2} is the refractive index of air = 1

η_{1} is the refractive index of diamond = 2.419

For light of wavelength 589 nm, calculate the critical angle for the following materials surrounded by air.

(a) diamond, 1°

(b) crown glass, 2°

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