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Two sources of intensity I and 4I are us...

Two sources of intensity `I` and 4I are used in an interference experiment. Find the intensity at a point where the waves from two sources superimpose with a phase difference of (a) zero, (b) `pi//2`, (c ) `pi` and (d) ratio of maximum and minimum intensity.

Text Solution

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The correct Answer is:
(a) 9I (b) 5I (c) l
We know that `I_(res)=I_(1)+I_(2)+2 sqrt(I_(1)) sqrt(I_(2)) cos (phi)`
(a) `I_(res)=I+4 I+2 sqrtIxx2 sqrtI cos (0)=9 I.`
(b) `I_(res)=I+4I+2 sqrtIxx2 sqrtI cos ((pi)/(2))=5 I.`
(c ) `I_(res)=I+4 I+2 sqrtIxx2 sqrtI cos (180) =I.
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