Question

The acoustical system shown in the figure below is driven by a speaker emitting sound of frequency 716 Hz. (Use v = 343 m/s.)

A rectangular tube where the top section is comprised of a sliding U-shaped part has an opening at the center of the left and right sides of the tube. A speaker is pointed at the opening on the left side and shows sound waves entering the tube going through both paths towards the right opening. A human ear labeled Receiver is next to the right opening.

(a) If constructive interference occurs at a particular instant, by what minimum amount should the path length in the upper U-shaped tube be increased so that destructive interference occurs instead?
m

(b) What minimum increase in the original length of the upper tube will again result in constructive interference?
m

Answer 1

343 m 716 U-Bhapead the tub upper a distance , slide we 2x because beth the twiu he pata difference created fpore each create a uu venhcal sectans Part) batween coustsuchnre and Minimum Path diffeunce a isA destruchive differacnce Peta 2 2x 2 343 716 .197xo m 1 o-11 97 m 4 So, upper tube must be gideo by 4 1-197X10m so that lenst increases y0 2395mkAdwer A giu leng, cnstrctine ineyenence or vet intence csnstruutine par dfferenc murt he So, winimum inereese orinal erpt construchine. inteference tuye fr reult in nent wu be 479 0 m 343 Aumer 716