A ray of light incident from air on a glass plate of refractive index n is partly reflected and partly refracted at the two surfaces of the glass. The displacement y0 in the figure is

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Question

A ray of light incident from air on a glass plate of refractive index n is partly reflected and partly refracted at the two surfaces of the glass. The displacement y₀ in the figure is

$\frac{2 dsinθ}{\sqrt{\sin^{2} θ - \frac{1}{n^{2}}}}$

None of these

${\frac{2 dsinθ}{\sqrt{n^{2} - \sin^{2} θ}}}$

$\frac{2 d \sqrt{n^{2} - \sin^{2} θ}}{sinθ}$

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θ = θ
$\frac{y_{0}}{2} = dtan r (\frac{\sin θ}{\sin r}) = n$
$y_{0} = 2 d (\frac{\sin θ}{\sqrt{n^{2} - \sin^{2} θ}})$