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Question

In the set up shown, the two slits S1 and S2 are not equidistant from the slit S. The central fringe at O is then

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A
always bright
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B
always dark
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C
either dark or bright depending on the position of S
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D
neither dark nor bright
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Solution

The correct option is C either dark or bright depending on the position of S
As the two slits S1 and S2 are not equidistant from the slit s the distance traversed by light through S1 and S2 may not differ by an integral multiple of wavelength. Thus it need not be bright . similarly it need not be dark. Thus option C is correct.

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