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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): In a Young's double slit experiment, if the screen is moved away from the plane of the slits, the angular separation of the fringes remains constant.
Reason (R): The linear fringe width increases as the screen distance increases, but the angular fringe width depends only on the wavelength of light and the slit separation.

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

Options

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

Correct answer

B. Both Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation for Assertion (A).

Step-by-step solution

The linear fringe width in Young's double slit experiment is given by β=λDd\beta = \dfrac{\lambda D}{d}, where λ\lambda is the wavelength, DD is the distance to the screen, and dd is the slit separation.

The angular fringe width is given by θ=βD=λd\theta = \dfrac{\beta}{D} = \dfrac{\lambda}{d}.

When the screen is moved away from the plane of the slits, the distance DD increases. This causes the linear fringe width β\beta to increase. However, the angular fringe width θ\theta depends only on λ\lambda and dd, so it remains independent of DD.

Therefore, both Assertion (A) and Reason (R) are correct, and Reason (R) provides the correct explanation for Assertion (A).

Answer: Both Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation for Assertion (A).
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