Question

The sound from a single source can reach point O by two different paths. One path is 20.0 m long and the second path is 21.0 m long. The sound destructively interferes at point O. What is the minimum frequency of the source if the speed of sound is 340 m/s?

Answer 1

Answer:

minimum frequency = 170 Hz

Explanation:

given data

One path long = 20 m

second path long = 21 m

speed of sound = 340 m/s

solution

we get here destructive phase that is path difference of minimum $\frac{\lambda}{2}$

here  λ is the wavelength of the wave

so path difference will be

21 - 20 = $\frac{\lambda}{2}$  

λ = 2 m

and

velocity that is express as

velocity = frequency × wavelength    .............1

frequency  = $\frac{340}{2}$  

minimum frequency = 170 Hz