Question:
A ray of light is incident on a glass plate of refractive index $\sqrt{3}$. If the angle between the refracted ray and reflected ray is $90^\circ$, then the angle of incidence is:
A ray of light is incident on a glass plate of refractive index $\sqrt{3}$. If the angle between the refracted ray and reflected ray is $90^\circ$, then the angle of incidence is:
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When $\theta_r + \theta_{refr} = 90^\circ$, the reflected light is completely polarized.
Updated On: Jun 10, 2026
- $30^\circ$
- $45^\circ$
- $60^\circ$
- $90^\circ$
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The Correct Option is C
Solution and Explanation
Step 1: Concept
When the reflected and refracted rays are at $90^\circ$, the angle of incidence is the Brewster's angle ($\theta_B$).
Step 2: Meaning
According to Brewster's Law, $\tan(\theta_B) = \mu$.
Step 3: Analysis
Given $\mu = \sqrt{3}$, $\tan(\theta_B) = \sqrt{3} \implies \theta_B = 60^\circ$.
Step 4: Conclusion
The angle of incidence is $60^\circ$.
Final Answer: (C)
When the reflected and refracted rays are at $90^\circ$, the angle of incidence is the Brewster's angle ($\theta_B$).
Step 2: Meaning
According to Brewster's Law, $\tan(\theta_B) = \mu$.
Step 3: Analysis
Given $\mu = \sqrt{3}$, $\tan(\theta_B) = \sqrt{3} \implies \theta_B = 60^\circ$.
Step 4: Conclusion
The angle of incidence is $60^\circ$.
Final Answer: (C)
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