In Young's double slits experiment, the relation used to find the position of the dark fringes is(Note: All the symbols have their usual meaning.)
Correct answer: C. Y = (m + 1/2)λL/d
- A. Y = (m+1) λL/d
- B. Y = (m - 1)λL/d
- C. Y = (m + 1/2)λL/d
- D. Y = (m - 1/2) λd/L
Explanation
In Young's double-slit experiment, the position of the dark fringes is given by the formula Y = (m + 1/2)λL/d, where m is the order of the fringe, λ is the wavelength, L is the distance to the screen, and d is the slit separation. This formula accounts for the half-wavelength phase difference leading to destructive interference. Option A describes the position of bright fringes, Option B is not a standard formula, and Option D has incorrect terms.
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About Superposition and Interference
Superposition states that overlapping waves produce a resultant displacement equal to the algebraic sum of their individual displacements. Interference covers constructive and destructive interference, phase difference, path difference, coherent sources, and conditions for maxima and minima. It differs from diffraction, which involves spreading around openings or obstacles.
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