Answer:
The type of interference the person perceives is a Constructive Interference
Explanation:
Before we solve the problem we need to clarify some concepts:
There are two types of Interference, the Constructive and the Destructive interference
The Constructive Interference happens if the difference between the waves movement is equal to an even semi-wavelength number
The Destructive Interference is the opposite than the Constructive Interference, it happens if the difference between the waves movement is equal to an odd semi-wavelength number
Taking the above into account let´s proceed to solve the problem.
First, we will need to find how much the wavelength is (we will call it l), we know the frequency f=200Hz, we also know the speed of sound is v=330m/s. We will use the next equation:
then we get that
In order to find the semi-wavelength we must divide by 2 the previous result, in this case the semi-wavelength will be:
Now, we find the difference between the waves movement, which is the difference between both distances, this difference will be called d and we will find it this way:
then d=3.3m
After this, we will do a relation between the distance and the semi-wavelength in order to find what type of interference the person perceives, this way:
then, we have a relation equals to 4. As it´s an even number, we determine the interference is a Constructive Interference
