Question

4 15. Two 17.5-mW speakers are situated 4.50 meters apart and playing the same 191.7 Hz tone, but are completely out of phase (Tradians). A listener is stationed at a point 2.40 meters in front of the speaker on the right(B), as shown in the diagram. (3 pts/part) () If the ambient temperature in the room full of a diatomic gas with average molecular mass of 28.94 u is 23°C, what is the wavelength of the sound waves produced by the speakers? (in) What is the difference in path lengths traversed by the sound from each speaker to the listener? (ii) Does our listener experience a loud tone, or near silence, at this location? Justify your answer. (iv) Find the total sound intensity in W/m², and the sound level in dB, experienced by the listener at this location. Assume that reflection of sound off nearby surfaces is negligible. (v) Our listener now walks directly away from speaker B. Find the first point at which he encounters silence from the speakers.

Answer 1

223 23 6 ju "YRT M 296 K 7 = 1.4 for diatomic gases. TE 23°c M - 28.94 0.02894 kg/mol R 8.31 J/mulk 1.48.314 296 0.02894 344,95 m/s of - 1.8m A 344.95 191.7 =) " Path difference Ас - Вс AE 4.5m BB on. /4.5)²+(2.432 - 2.4 2,4m Dal - 2.7 m

(!! Path difference nd 2 3 x 1.8 2 = 2.7 for n=37 on=.n) but initially these were 2 out of phase. of =468 ru pu + 2 NA 2 [T+u = my integer multiple there will be lood sound.