Path length difference = 5.20 - 3.50 = 1.70m.
The longest wavelength (hence lowest frequency) that gives destructive interference has path length difference= λ/2.
λ/2 =1.70
λ = 3.40m
Taking speed of sound as v = 340m/s:
f = v/λ = 340/3.40 = 100Hz.
For constructive interference the path difference must be an integer number of wavelengths. The lowest frequency for this would be the longest wavelength with the path difference equal to one wavelength.
Path length difference(m) = 5.20 - 3.50 = 1.70m.
λ =2m ⇒ f = v/λ
λ/2 =1.70
λ = 3.40m
Taking speed of sound as v = 340m/s:
f = v/λ = 340/3.40 = 100Hz.
"When two waves of identical wavelength are in phase, they form a new wave with an amplitude equal to the sum of their individual amplitudes."
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