Two loudspeakers facing each other are separated by 1.00 m and are excited in phase by a 1,100 Hz sine wave. Where will be the points on a line between speakers where there will be constructive interference, and where will be the points where there will be destructive interference

Condition of constructive interference is given as

x = 95 cm, 80 cm, 65 cm, 50 cm, 35 cm, 20 cm, 5 cm

condition of destructive interference we know that

x = 87.5 cm, 72.5 cm, 57.5 cm, 42.5 cm, 27.5 cm, 12.5 cm

Explanation:

As we know that the frequency of the sound waves is 1100 Hz

now we can find the wavelength as

now we have

now we know for the condition of constructive interference

Path difference = N

x = 95 cm, 80 cm, 65 cm, 50 cm, 35 cm, 20 cm, 5 cm

Similarly for condition of destructive interference we know that

Path difference = (2N + 1)

so we have

x = 87.5 cm, 72.5 cm, 57.5 cm, 42.5 cm, 27.5 cm, 12.5 cm