Answer :
Speed of the wave on the string is 0.55m/s .
We have the following information:
A string on the violin has a length of 27.5 cm
and, a mass of 0.86 g.
The fundamental frequency of the string is 1 kHz.
We have to find the speed of the wave on the string.
Now, According to the question:
Mass of string : 86 × [tex]10^-^3[/tex]kg
Length = 27.5 cm = 0.275m
Fundamental frequency:
1kHz
Apply the formulas in terms of wavelength and frequency to find the velocity. Tension can be found from the formula for velocity in terms of tension and linear density.
The expression for the frequency is given by,
[tex]f_0=\frac{1}{2L}\sqrt{\frac{T}{\mu} }[/tex]
Where, [tex]f_0[/tex] is frequency, L is length, T is tension and μ is mass per unit length.
For fundamental frequency, length of string will be half of wavelength,
L = λ/2
λ =2L
λ = 2(0.275)
λ = 0.55m
Speed = v = [tex]f_0\lambda[/tex] = 1(0.55m) = 0.55m/s
Hence, Speed of the wave on the string is 0.55m/s
Learn more about Speed of the wave at:
https://brainly.com/question/17073791
#SPJ4
