Answer :
Final answer:
The speed of waves on the violin string is determined by firstly finding the linear density of the string and then plugging that into the wave speed formula, v = sqrt(FT/μ). Following the calculations, the wave speed on the given violin string turns out to be approximately 500 m/s.
Explanation:
To solve this problem, we first need to find the linear density (μ) of the string. The linear density is the mass per unit length of the string, which can be calculated as mass divided by length. However, since the length of the string is not given in the question, we assume it as 'unit length', hence, the linear density itself is equal to the mass of the string i.e., 0.8 Kg.
Secondly, we need to use the formula for wave speed on a string which is given by v = sqrt(FT/μ), where 'FT' is the tension force and 'v' is the wave speed. In this case, FT is given as 400 N. Substituting these values into the equation, we get:
- v = sqrt(400/0.8).
This results the wave speed to be approximately 500 m/s. Hence, the speed of waves on the given violin string is 500 m/s, which corresponds to option c).
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