Question

Two loudspeakers are placed 3.00 m apart, as shown in the figure. They emit 410 Hz sounds, in phase. A microphone is placed d 3.40 m distant from a point midway between the two speakers, where an intensity maximum is recorded. 3.00 m a) How far must the microphone be moved to the right o nd the ist intensity minimum? 2.917295553 X m (b) Suppose the speakers are reconnected so that the 410 Hz sounds they emit are exactly out of phase. At what positions (how far must the microphone be moved to the right) are the intensity maximum and minimum now? m (minimum) m (maximum)

Answer 1

343m/S-0.8366m 410 Hz λ wavelength of sound xdistance from midway to to thenth intensity maxima In a - distance between the speakers 3.00 m n- the order of the fringe d-length from the speakers midpoint to microphone -3.40m the first intensity maxima is at a distancex, andn-1 x, -0.9481m b)if the speakers are reconnected and are in out of phase the distance to which the speakers should be moved todistance Xmin the central intensity of sound is minimum and the position of nAd next minimum-X,,.n :n- Order of minimumn min we plug the values in hand while using the relation give us Xmin -0.9481 m 1 Ad postion of maximum Xmxn forn 1 =>Xmax 10.4741 m ; n-1,2,3 Ad