Two speakers S1 and S2 are positioned 10 meters away fromeach other and emit sou

Question

Two speakers S1 and S2 are positioned 10 meters away fromeach other and emit sound waves of frequency 330 Hz in such a way that there is no phasedierence between them. You are standing at the point equidistant from the speakers alongthe line that connects the two and hear a loud tone. Now you start walking towards thespeaker S1. (The speed of sound in air is 330 m/s.)
(a) How far do you have to walk towards S1 to hear no sound for the rsttime?
(b) How far do you have to walk towards S1 to hear a loud sound for the rsttime again?

Explanation / Answer

condtion for distructive interference is

path difference is lamda/2

(L-x)- x= lamda/2

L - 2x = lamda/2

L- lamda/2 = 2x

10- 330/330 * 2= 2x

x= 4.75 m

(b)

(L-x) - x = lamda

L - 2x = lamda

10-330/330= 2x

x= 4.5 m

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