Set 11 Problem 6 D Two loudspeakers are placed D = 3.17 m apart. They emit 442 -Hz sounds, in phase. A microphone is placed L = 3.26 m distant from a point midway between the two speakers, where an intensity maximum is recorded. The temperature is 20.6 . C. a. How far must the microphone be moved to the right to find the first intensity minimum? O. 15 d = m abc sin ( x) Ox10' Submit Reset Reset All What is the condition on the path difference $2 - S, for constructive interference? Express the distances from the speakers to the microphone S, and S2 in terms of D, L, and x (the distance the microphone is moved to the right) using the Pythagorean theorem. Solving the relation for x is somewhat tricky. The algebra is facilitated by moving the radicals to opposite sides of the equation and squaring both sides. An alternative valid approach is to use the trial-and-error method with a calculator to find the solution for x numerically. b. Suppose the speakers are reconnected so that the 442 -Hz sounds they emit are exactly out of phase. If the microphone is again placed 3.26 m distant from the point midway between the two speakers, how far must it be moved to the right to find the first intensity maximum? 0. m abc sin(x) 0x10' Submit Reset Reset All