# Problem: For light of wavelength 589 nm, calculate the critical angle for the following materials surrounded by air.(a) diamond, 1°(b) crown glass, 2°

###### FREE Expert Solution

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)

η2 is the refractive index of air = 1

η1 is the refractive index of diamond = 2.419

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###### Problem Details

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

(a) diamond, 1°

(b) crown glass, 2°