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JEE Main 2023 (6 Apr, Shift 2) · Refraction, Glass Slab & Apparent Depth

Refraction, Glass Slab & Apparent Depth question from JEE Main 2023 (6 Apr, Shift 2)

Q33JEE Main 2023 · 6 APR · SHIFT 2Medium

Refraction, Glass Slab & Apparent Depth

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

Assertion A: The phase difference of two light waves changes if they travel through different media having same thickness, but different indices of refraction.

Reason R: The wavelengths of waves are different in different media.

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

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Answer: (d)

  1. In a medium λ=λ0/μ\lambda = \lambda_0/\mu, so different media give different wavelengths: R is true.
  2. Phase change over thickness tt is 2πtλ=2πμtλ0\dfrac{2\pi t}{\lambda} = \dfrac{2\pi \mu t}{\lambda_0}; different μ\mu give different phase changes, so the phase difference changes: A is true.
  3. This happens precisely because the wavelengths differ, so R explains A.
  4. So the answer is (d).
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