Two sources of sound S1 and S2 vibrate at same frequency

Question:

Two sources of sound $S_{1}$ and $S_{2}$ vibrate at same frequency and are in phase. The intensity of sound detected at a point $P$ as shown in the figure is $I_{0}$.

(a) If $\theta$ equals $45^{\circ}$, what will be the intensity of sound detected at this point if one of the sources is switched off?

(b) What will be the answer of the previous part if $\theta=60^{\circ}$ ?

Solution:

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