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NEET
Exam
NEET
Subject
Physics
Chapter
Wave Optics

NEET · Physics · Wave Optics

Given below are two statements: one is labelled as Assertion (A)...

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): For light traveling from air to any transparent medium, the Brewster's angle is always less than 45∘45^\circ.
Reason (R): The refractive index of any transparent medium relative to air is greater than 1, and Brewster's angle is given by ib=tan⁡−1(μ)i_b = \tan^{-1}(\mu).

In the light of the above statements, choose the most appropriate answer from the options given below.

Options

  1. ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
  3. C(A) is correct but (R) is not correct
  4. D(A) is not correct but (R) is correct

Correct answer

D. (A) is not correct but (R) is correct

Step-by-step solution

According to Brewster's law, the tangent of the polarizing angle (Brewster's angle, ibi_b) is equal to the refractive index of the medium relative to the surrounding medium, so ib=tan⁡−1(μ)i_b = \tan^{-1}(\mu). Thus, the Reason (R) is correct.

For light traveling from air to any transparent medium, the refractive index μ\mu is strictly greater than 1. Therefore, tan⁡(ib)>1\tan(i_b) > 1.

Since tan⁡(45∘)=1\tan(45^\circ) = 1 and the tangent function is strictly increasing in the interval (0∘,90∘)(0^\circ, 90^\circ), it follows that ib>45∘i_b > 45^\circ.

The Assertion (A) states that Brewster's angle is always less than 45∘45^\circ, which contradicts the derived result. Hence, the Assertion (A) is not correct.

Answer: (A) is not correct but (R) is correct
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