In a Young's double slit experiment, the slits are 2 mm apart and are illuminated with a mixture of two wavelength 
and 
. The minimum distance from the common central bright fringe on a screen 2 m from the slits where a bright fringe from one interference pattern coincides with a bright fringe from the other is
Text Solution
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From the given data, note that the fringe width ( β β 1 ) for 
is greater than fringe width ( β β 2 ) for 
This means that at though the central maxima of the two coincide, but first maximum for 
will be further away from the first maxima for 
and so on. A stage may come when this mismatch equals β β 2 , then again maxima of 
will coincide with a maxima of 
let this correspond to n th order fringe for λ λ 1 . Then it will correspond to 
order fringe for λ λ 2 .
Therefore 
Minimum distance from
Central maxima 
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