A narrow tube is bent in the form of circle of radius R as shown. Two small holes S and D are made in the tube at the positions right angles to each other. A source placed at S generates a wave of intensity I 0 which is equally divided into two parts. One part travels along the longer path, while the other travels along the shorter path. Both the part waves meet at point D where a detector is placed.

(i) Maximum intensity produced at D is given by –
Text Solution
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(i)
Sol. Maximum intensity,
Here,
(given)

(ii)
Sol. 
, where x is path difference.
For maxima
and for minima 
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