In a Young’s double slit experiment the slit is illuminated by a source having two wavelengths of 400 nm and 600 nm. If distance between slits, d = 1mm, and distance between the plane of the slit and screen, D = 10 m then the smallest distance from the central maximum where there is complete darkness is :
Text Solution
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Let us say, n th minima of 400 nm coincides with m th minima of 600 nm.
⇒
= =
. 
⇒ 400 n = 600m + 100.
⇒ n =
= (some integer or non-integer) + 0.25
Hence n can never be an integer. So no minima of 600 nm coincides with any minima of 400 nm.
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