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JEE Mains · Physics · STD 12 - 10. Wave optics

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 \(\frac{\pi}{2}-\theta_B\). 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 :

  1. A Both Statements \(I\) and Statement \(II\) are true. 
  2. B Statement \(I\) is true but Statement \(II\) is false.
  3. C Both Statement \(I\) and Statement \(II\) are false.
  4. D Statement \(I\) is false but Statement \(II\) is true.
Verified Solution

Answer & Solution

Correct Answer

(B) Statement \(I\) is true but Statement \(II\) is false.

Step-by-step Solution

Detailed explanation

\(\mu_{ a } \sin i_1=\mu_{ g } \sin \left(90- i _1\right)\) \(\tan i _1=\frac{\mu_{ g }}{\mu_{ a }}\) When going from glass to air \(\tan i_2=\frac{\mu_{ a }}{\mu_{ g }}=\cot i_1\) Hence \(i_2=\frac{\pi}{2}-i_1\)
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