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Q.

Consider two coherent monochromatic (wavelength λ ) sources S1 and S2 separated by a distance d. The ratio of intensity of S1 and that of S2 at point P is 4. The distance of Pfrom S1if the resultant intensity at point P is equal to 94 times the intensity due to S1 is: ( n is a positive integer) 

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a

d2n2λ22

b

d2+n2λ22

c

nλdd2n2λ2

d

2nλdd2n2λ2

answer is A.

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Detailed Solution

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l1=4l0, l2=l0, lP=94l1=9l0

lP=l1+l2+2l1l2cosϕ

9l0=4l0+l0+4l0cosϕ

Or    Δx=
Or     x2+d2x=                     (x=S1P)

Or    x2+d2=x2+n2λ2+2xnλ

                       x=d2n2λ22

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