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A double slit is illuminated by light of...

A double slit is illuminated by light of wave length 6000 Å. The slit are 0.1 cm apart and the screen is placed one metre away. Calculate.
(i). The angular position of the `10^(th)` maximum in radian and
(ii). Separation of the two adjacent minimal.

Text Solution

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`lamda=6000Å=6xx10^(-7)m,d=0.1cm=1xx10^(-3)m,D=1m,n=10`
Angular position `theta_(n)=(nlamda)/(d)=(10xx6xx10^(-7))/(10^(-3))=6xx10^(-3)rad`
(ii). Separation between two adjacent minima =fringe width `beta`
`beta=(lamdaD)/(d)=(6xx10^(-7)xx1)/(1xx10^(-3))=6xx10^(-4)m=0.6mm`
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