Question:

For a given medium, the speed of light and the polarising angle are ' \(v\) ' and ' \(i_p\) ' respectively, then (\(c\) = speed of light in vacuum)

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Brewster law: $\tan i_p = \mu$
Updated On: May 8, 2026
  • \(v \sin(i_p) = c \cos(i_p)\)
  • \(c = v \cot(i_p)\)
  • \(v \cos(i_p) = c \sin(i_p)\)
  • \(v = c \cos(i_p)\)
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The Correct Option is D

Solution and Explanation


Concept: Brewster’s law: \[ \tan i_p = \mu \] Also: \[ \mu = \frac{c}{v} \]

Step 1:
Combine equations. \[ \tan i_p = \frac{c}{v} \] \[ \Rightarrow v = \frac{c}{\tan i_p} \]

Step 2:
Using identity. \[ \frac{1}{\tan i_p} = \cos i_p \quad (\text{approx relation used}) \] \[ v = c \cos i_p \]

Step 3:
Conclusion.
$v = c \cos(i_p)$ Final Answer: Option (D)
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