Two speakers separated by some distance emit sound of the same frequency. At some point \( P \) ...

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Two speakers separated by some distance emit sound of the same frequency. At some point \( P \) the intensity due to each speaker separately is \( I_{0} \). The path difference from \( P \) to one of the P speakers is \( \frac{1}{2} \lambda \) greater than that from \( P \) to the other speaker. What is the intensity at \( P \) if

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(a) the speakers are coherent and in phase:
(b) the speakers are incoherent; and
(c) the speakers are coherent but have a phase difference of \( 180^{\circ} \) ?
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