Question
please help. Need to Rank the mathematical representation of waves, from greatest to least, om the basis of the frequency or cycles the waves complete in the one second. for the first part.
2. (10 points) Listed below are mathematical representations of one-dimensional wave motion where r and y are in meters, is in seconds, and the numerical values have appropriate units. y-6 sin (Bx-8t) y = 6 sin (8x-31) y 3 sin (6x+8t) y 6 sin (3x+41) y -8 sin (óx +81) y = 2 sin (-3x-40 Rank these mathematical representations of waves, from greatest to least, on the basis of the frequency or how many cycles the waves complete in one second. Greatest 1 2 3 4 Or it is not possible to compare these representations without knowing more Please carefully explain vour reasonin Least Rank these mathematical representations of waves, from greatest to least, on the basis of the wave velocity Least Greatest 1 Or it is not possible to compare these representations without knowing more. Please carefully explain your reasoninsg Rank these mathematical representations of waves, from greatest to least, on the basis of the wavelengths of the waves. Least Greatest 1 Or it is not possible to compare these representations without knowing more. 2 Please carefully explain your reasonin
Explanation / Answer
Frequency = w/2pi
So frequency of A,C,E are equal to 8/2pi
Frequency of D.F are equal to 4/2pi
Frequency of B = 3/2pi
So greatest = A,C,E > D,F> B ( least) ( ans)
Wave velocity = w/k
A= 8/3 B= 3/8 C,D,E,F= 4/3
Greatest = A> C,D,E,F> B ( ans)
Wavelength= k/2pi
So greatest = B>C,E>A,D,F ( ans)