AIIMS2019Physics-Wave Optics

AIIMS 2019 Physics Young's Double Slit Experiment Assertion Reason Question

Type: Assertion Reason-conceptual-Medium-Class 12

Assertion: Distance between position of bright and dark fringe remain same in YDSE

Reason: fringe width β=λDd\beta = \frac{\lambda\text{D}}{\text{d}}

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Correct Answer

Option B

Detailed Explanation

The assertion is true because the distance between the positions of bright and dark fringes remains constant in Young's Double Slit Experiment (YDSE) for a given setup, as the fringe width (β) is uniform across the screen. The reason is also true, as fringe width is defined by the formula β = λD/d, where λ is the wavelength, D is the distance from the slits to the screen, and d is the slit separation; however, it does not explain why the distance between bright and dark fringes remains the same, since this distance is a consequence of the uniformity of β rather than a direct result of the formula itself. Option A is incorrect because, while both statements are true, the reason does not correctly explain the assertion. Options C and D are incorrect as they misrepresent the truth of both the assertion and the reason.

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