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Figure shows two coherent microwave sour...


Figure shows two coherent microwave source `S_(1)` and `S_(2)` emitting waves of wavelength `lamda` and separated by a distance `3lamda` for `lamdalt lt D` and `yne0`. The minimum value of y for point P to be an intensity maximum is `(sqrt(m)D)/(n)` determine the value of m+n, if m and n are coprime numbers.

Text Solution

Verified by Experts

The correct Answer is:
7

Path differrence `=3lamdacostheta=2lamdaimpliescostheta=(2)/(3)`
`y=Dtantheta=(Dsqrt(5))/(2)impliesm+n=5+2=7`
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Knowledge Check

  • Consider two coherent monochromatic (wavelength lambda ) sources S_(1) and S_(2) separated by a distance d. The ratio of intensity of S_(1) and that of S_(2) at point P is 4. The distance of P from S_(1) if the resultant intensity at point P is equal to (9)/(4) , times the intensity due to S_(1) is : (n is a positive integer )

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