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  4. S1, S2 are two coherent sources (having initial phase difference zero) of sound located along x −axis separated by 4λ where λ is wavelength of sound emitted by them. Number of maxima located on the elliptical boundary around it will be: [ S1 and S2 are assumed to be at focus of ellipse] <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-0tffk5lztwu4lwzc.jpg />

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Q. $S_{1}, \, S_{2}$ are two coherent sources (having initial phase difference zero) of sound located along $x$ −axis separated by $4\lambda $ where $\lambda $ is wavelength of sound emitted by them. Number of maxima located on the elliptical boundary around it will be : [ $S_{1}$ and $S_{2}$ are assumed to be at focus of ellipse]
Question

NTA AbhyasNTA Abhyas 2022

Solution:

Solution
$S_{1}P-S_{2}P=0$
$S_{1}Q-S_{2}Q=4\lambda $
$\therefore $ 3 maximum lie on are between P and Q. Counting all quadrants; the total number is 12. P and Q symmetrical points are also maxima.
$\therefore $ Total number is 16