Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The Ranking of the curve according to their speed would be equal Rank because
b
The first frequency would have a higher rank compared to the other two which will have the same ranking when ranked with respect to their angular velocities because
c
The ranking of the second third frequency would be the same but their ranking would be greater than that of the first frequency because
Explanation:
Mathematically Frequency can be represented as
Where is the wavelength and v is the velocity
Now looking at the diagram we see that
For the first frequency we have
Let the wavelength be , and the frequency
For the second frequency
Let the wavelength be , and the frequency
For the third frequency
Let the wavelength be , and the frequency
To obtain v for each of the frequency we make v the subject in the equation above for each frequency
So,
For the first frequency we have
For the second frequency
For the third frequency
Hence
The Ranking of the curve according to their speed would be equal Rank because
Mathematically angular speed can be represented as
For the first frequency we have
For the second frequency
For the third frequency
Hence
The first frequency would have a higher rank compared to the other two which will have the same ranking when ranked with respect to their angular velocities because
Mathematically the relationship between the angular velocity and the linear velocity can be represented as
=>
Since the linear velocity is constant we have that
This means that r varies inversely to the angular velocity ,What this means for ranking due to the radius is that the ranking of the second third frequency would be the same but their ranking would be greater than that of the first frequency because