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Question
The angular width of interference fringes in Young’s double-slit experiment depends on ______.
Options
distance between the slits and the screen only.
wavelength of light used only.
both wavelength of light used and the slits separation.
slits separation only.
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Solution
The angular width of interference fringes in Young’s double-slit experiment depends on both wavelength of light used and the slits separation.
Explanation:
In Young’s double-slit experiment (YDSE), the angular width (6) of the interference fringes is defined as the angle subtended by the fringe width at the centre of the slits. It is given by the formula:
θ = `lambda/d`
Because the formula consists of both λ and d, the angular width depends on both factors: it is directly proportional to the wavelength and inversely proportional to the slit separation.
Notably, unlike the linear fringe width `(beta = (lambda D)/d)`, the angular width does not depend on the distance between the slits and the screen (D).
