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The wavelengths of a certain blue light in air and in glass are 480 nm and 320 nm, respectively. Find the Brewster angle for this blue light incident on the glass.

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Question

The wavelengths of a certain blue light in air and in glass are 480 nm and 320 nm, respectively. Find the Brewster angle for this blue light incident on the glass.

Numerical
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Solution

Data: λa = 480 nm, λg = 320 nm

n = `(λ_a)/(λ_g)` and n = tan θB

∴ tan θB = `(λ_a)/(λ_g)`

= `480/320`

= 1.5

∴ θB = tan−1

= 1.5

= 56°19

This is the required Brewster angle.

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