InterviewSolution
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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. |
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Answer» `I_(1)=I, I_(2)=4I` `I_(R)=I_(1)+I_(2)+2sqrt(I_(1)I_(2)) cos phi` (a) `phi=0, I_(R)=I+4I+2sqrt(I.4I) cos 0=9I=I_(max)` (b) `phi=pi/2, I_(R)=I+4I+2sqrt(I.4I) cos(pi//2)=5 I` (c ) `phi=pi, I_(R)=I+4I+2sqrt(I.4I) cos(pi)=I=I_(min)` (d) `I_(max)/I_(min)=(9I)/I=9` OR `I_(max)/I_(min)= ((sqrt(I_(1))+sqrt(I_(2)))/(sqrt(I_(1))-sqrt(I_(2))))^(2)=((sqrt(I)+sqrt(4I))/(sqrt(I)-sqrt(4I)))^(2)=9` |
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