My Notes Ask Yo Two speakers separated by some distance emit sound waves of the

Question

My Notes Ask Yo Two speakers separated by some distance emit sound waves of the same frequency. At some peint P, the intensity due speakers is (1/2)? greater than that from p to the other speaker. Using ra, what is the intensity at p separately is lo. The path distance from P to one of the (a) The speakers are coherent and in phase? 1-0 (b) The speakers are incoherent? 21 (c) The speakers are coherent but have a phase dmerence at rad? 0 nhether the speskers are coherent and on the total phase difference in the waves arriving at the given point. The phase difference can be The intensity at the point of interest is dependent on determined from the difference in path length. If the speakers are coherent, the amplitude of the resultant wave can be related to t The intensity is proportional to the square of the resultant ampilitude regardiess of whether or not the sources are e amplitude of the individual waves and their phase difference

Explanation / Answer

(a)??

(b)??

(c) speakers are coherent then,

phase difference = ? rad

x= ?+?= 2? rad

Amplitude of wave

A= 2*Po*cos(2? / 2)

A = 2Po( considering just magnitude)

lntensity, I is directly proportional to A^2

l = (2Po)^2 * lo/ Po

l = 4*lo

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