Question

Two identical speakers are situated in the x-y plane. Speaker₁ has coordinates (0, 0) and speaker₂ has coordinates (7/2, 0). The speakers are driven by the same source of frequency 113 Hz, and the velocity of sound is 339 m/sec. Find the location (in fractional form) of all the minima and maxima for 0 < x < 7/2

Answer 1

position of minima is determined by

lambda is the wavelength which we can write as

c is speed of sound and nu is frequancy

so putting all values we get

so we get first mini,at n=1

for n=2

but it lays outside so exclude

and position of maxima

so putting value

so first maxima n=1

d=3

so only one maxima and one minima is in between 0<x<7/2