+244 Two loudspeakers emit a 444 Hz sound in-phase and are 4.0 m apart. A microphone is placed half-way between the speakers and then moved along the line joining the two speakers until the first point of constructive interference is found. How far away from the midpoint has the microphone moved? The speed of sound in air is 340 m/s.
A.0.38 m
B.0.28 m
C.0.58 m
D.0.78 m
E.There is no point in that line where constructive interference occurs.
+36916
Results in wavelength of 76.576576 cm (340/444)
Directly between is 200 cm
Look at speaker 1 400 cm to speaker 2 at what point between the two is a whole number of wavelengths from EACH speaker?
Distance from speaker 2 is 400 - 76.576576 x = 323.423 246.84684 170.270272 93.6936 17.11712
Distance from speaker 1 is 76.576576 x 1,2,3,4 = 76.576576 153.153152 229.729728 306.306304 382.88288
None of these numbers match. The speakers are not a whole number of wavelengths apart, so I BELIEVE there will be no where on a direct line between them where there will be constructive interference.
