Answer :
The correct answer is B: This is the point of perfect destructive interference.
To determine the type of interference at the point (x,y) = (300m,800m), we need to consider the phase difference between the two radio waves as they reach this point.
The phase difference between two waves is the difference in the position of the crests (or troughs) of the two waves at a given point in space. If the crests of the two waves arrive at the same time, we say that the waves are in phase and the interference is constructive. If the crests of one wave arrive at the same time as the troughs of the other wave, we say that the waves are out of phase and the interference is destructive.
The phase difference between the two waves at a point (x,y) can be calculated using the formula:
Δφ = 2π(d/λ)sin(θ)
Where d is the distance between the two antennas, λ is the wavelength of the radio waves, and θ is the angle between the line connecting the two antennas and the line connecting the point (x,y) to one of the antennas.
In this case, the distance between the two antennas is 300m, the wavelength of the radio waves is 0.1m (since the frequency is 3.0 MHz and the speed of light is approximately 3 x 10^8 m/s), and the angle θ is approximately 63.4 degrees (since sin(63.4) = 0.8).
Plugging these values into the formula, we get:
Δφ = 2π(300/0.1)sin(63.4) = 2π(3000)sin(63.4) = 2π(1287.6) = 2575.2π
This phase difference is approximately 8127.5 radians, which is significantly greater than π radians (the phase difference between two waves that are in phase). This means that the two waves are significantly out of phase at the point (x,y) = (300m,800m) and the interference will be destructive.
Learn more about constructive interference at
https://brainly.com/question/16098226?referrer=searchResults
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The question is -
Two out-of-phase radio antennas at x= 300m on the x-axis are emitting 3.0MHz radio waves. Is the point (x,y) = (300m,800m) a point of maximum constructive interference, perfect destructive interference, or something in between? Possible Choices:
A. This is the point of maximum constructive interference.
B. This is the point of perfect destructive interference.
C. This point is something in between maximum constructive interference and perfect destructive interference.
Explain your reasoning
