Final answer:
The speed of the waves in the cello string is approximately 136.12 m/s, none of the option given is correct.
Step-by-step explanation:
The speed of waves in a string can be calculated by multiplying the frequency of the note by the wavelength of the wave.
Since the question gives us the frequency of the note and the length of the string, we can find the wavelength by dividing the length of the string by the number of times the wave cycles within that length (also known as the harmonic).
Then, we can use the equation v = f × λ to find the speed of the waves.
In this case, the length of the cello string is given as 0.695 m and the frequency of the note is given as 98.0 Hz.
Assume the wave corresponds to the fundamental frequency (n = 1).
The wavelength can be calculated as λ = 2 × length of the string, since the fundamental frequency has one complete wavelength within the length of the string, and the speed of the waves can be found using the equation v = f × λ.
Using the given values, we have:
wavelength, λ = 2 × 0.695 m = 1.390 m
speed of waves, v = 98.0 Hz × 1.390 m = 136.12 m/s
Therefore, the correct answer is 136.12 m/s (rounded to two decimal places).