_S01_032_Q01.png)
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.
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
_S01_032_S01.png)
Path differrence `=3lamdacostheta=2lamdaimpliescostheta=(2)/(3)`
`y=Dtantheta=(Dsqrt(5))/(2)impliesm+n=5+2=7`
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