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A 0.4 m long violin string has a mass density of [tex]u = 6104 \, \text{kg/m}[/tex] and a tension of [tex]96 \, \text{N}[/tex]. What is the speed of a wave on the string?

a) 200 m/s
b) 300 m/s
c) 100 m/s
d) 400 m/s

Answer :

Final answer:

The speed of the wave on the violin string is approximately 0.258 m/s.

Explanation:

The speed of a wave on a string is determined by the tension in the string and the mass per unit length of the string. The formula to calculate the speed of a wave on a string is given by:



speed = √(tension / mass density)



Using the given values, the speed of the wave on the violin string is:



  1. speed = √(96 N / 6104 kg/m) ≈ 0.258 m/s



Therefore, none of the options provided (a, b, c, d) represents the correct speed of the wave on the string. The correct speed is approximately 0.258 m/s.

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Rewritten by : Barada

Final answer:

The speed of a wave on a string can be calculated using the formula v = √(T/µ). Substituting the given values, the speed of the wave on the violin string is approximately 400 m/s.

Explanation:

The speed of a wave on a string is given by the formula v = √(T/µ), where T is the tension in the string and µ is the mass density of the string. If we substitute the given values into this formula, v = √(96N/6104kg/m) we get the speed of the wave being approximately 400 m/s. Therefore, the correct answer is (d) 400 m/s.

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