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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): When the entire Young's double slit experiment apparatus is immersed in water, the angular fringe width decreases.
Reason (R): The wavelength of light decreases when it enters a denser medium, and angular fringe width is directly proportional to the wavelength.

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

Options

  1. ABoth Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. BBoth Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
  3. CAssertion is correct but Reason is incorrect.
  4. DAssertion is incorrect but Reason is correct.

Correct answer

A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

Step-by-step solution

The angular fringe width in Young's double slit experiment is given by θ=λd\theta = \dfrac{\lambda}{d}, where λ\lambda is the wavelength of light and dd is the distance between the slits.

When the apparatus is immersed in water (a denser medium), the wavelength of light decreases to λ′=λμ\lambda' = \dfrac{\lambda}{\mu}, where μ\mu is the refractive index of water.

Since the angular fringe width is directly proportional to the wavelength (θ∝λ\theta \propto \lambda), a decrease in wavelength results in a decrease in the angular fringe width. Therefore, the Assertion is correct.

The Reason correctly states that wavelength decreases in a denser medium and that angular fringe width is directly proportional to wavelength. Thus, the Reason is correct and provides the exact explanation for the Assertion.

Answer: Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
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