Chapter 24, Problem 54P

To determine

The Brewster’s angle for an air-glass.

Answer to Problem 54P

  $56.7°$ .

Explanation of Solution

Given:

Refractive index of glass, $n_{glass}=1.52$

Formula used:

It is known that: $\tan {\text{θ}}_{\text{p}}={\text{n}}_{\text{glass}}$

Where,

  ${\text{θ}}_{\text{p}}$ is Brewster’s angle.

  $n_{glass}$ is refractive index of glass.

Calculation:

Substitute the given data into the formula $\tan {\text{θ}}_{\text{p}}={\text{n}}_{\text{glass}}$ to get the Brewster’s angle.

  $\tan {\text{θ}}_{\text{p}}=1.52$

  $\therefore {\text{θ}}_{\text{p}}={\tan }^{-1}\left(1.52\right)$

  $\therefore {\text{θ}}_{\text{p}}=56.7°$

Conclusion:

The required Brewster’s angle is $56.7°$ .