Given below are two statements : Statement I : If the Brewster's angle for the light propagating from air to glass is θ _ B , then Brewster's angle for the light propagating from glass to air is (π)/(2) - θ _ B .

Correct answer: B. Statement I is true but Statement II is false. Applying Snell's law, we get μ _ a sini = μ _ g (90 ° - i) tani = μ _ g μ _ a When going from glass to air tan i ^ ' = μ _ a μ _ g = coti Clearly, i ^ ' = ((π)/(2) - i) & hence Statement I is true but Statement II is false.

JEE Main 202324 JanuaryMorning Shift

Exam: JEE Main
Year: 2023
Date: 24 January
Shift: Morning Shift
Subject: Physics
Chapter: Wave Optics

JEE Main 2023 · 24 January · Morning Shift · Physics · Wave Optics

Given below are two statements : Statement I : If the Brewster's...

Given below are two statements :
Statement I : If the Brewster's angle for the light propagating from air to glass is ${\theta}_{B}$ , then Brewster's angle for the light propagating from glass to air is $\dfrac{\pi}{2} - {\theta}_{B}$ .

Statement II : The Brewster's angle for the light propagating from glass to air is $\tan^{- 1}\left({\mu}_{g}\right)$ , where ${\mu}_{g}$ is the refractive index of glass.
In the light of the above statements, choose the correct answer from the options given below :

Given below are two statements : Statement I : If the Brewster's angle for the light propagating from air to glass is θ

Options

ABoth Statements I and Statement II are true.
BStatement I is true but Statement II is false.
CBoth Statement I and Statement II are false.
DStatement I is false but Statement II is true.

Correct answer

B. Statement I is true but Statement II is false.

Step-by-step solution

Given below are two statements : Statement I : If the Brewster's angle for the light propagating from air to glass is θ

Applying Snell's law, we get

${\mu}_{a}sini = {\mu}_{g}\sin \left(90 ° - i\right)$

$tani = \dfrac{{\mu}_{g}}{{\mu}_{a}}$

When going from glass to air
$tan{i}^{'} = \dfrac{{\mu}_{a}}{{\mu}_{g}} = coti$

Clearly, ${i}^{'} = \left(\dfrac{\pi}{2} - i\right)$ & hence Statement I is true but Statement II is false.

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