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At the first minimum adjacent to the central maximum of a single slit differation pattern the phase difference between the Huygen's wavelet from the edge of the slit and the wavelet from the mid point of the slit is...... |
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Answer» `(pi)/(8)` rad `sin theta=(dx_(1))/((a)/(2)) [ :. SS_(1)=(a)/(2)]`  `:. dx_(1)=(a)/(2) sin theta ""...(1)` where `Deltax_(1)` is a path difference. Now, for FIRST minimum, `a sin theta= LAMBDA "" [d=a]` `:. sin theta=(lambda)/(a) ""...(2)` `:. Deltax_(1)=(a)/(2)xx(lambda)/(a)=(lambda)/(2)` [`:.` From equation (1) and (2)] Now phase difference `Delta phi_(1)=KXX` path difference `=(2pi)/(lambda)xx deltax_(1)` `=(2pi)/(lambda)xx(lambda)/(2)=pi` rad |
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