What is the wave speed in a brass wire with a radius of 0.500 mm stretched with a tension of 125 N? The density of brass is 8.60 × 10³ kg/m³. A)0.121 m/s B)100 m/s C)136 m/s D)500 m/s E)68.8 m/s

Question

Quizplus · Accepted Answer

The wave speed (v) in a stretched wire is given by the equation v = sqrt(Tension/linear density), where Tension is the tension in the wire and linear density is the mass per unit length of the wire. 
The linear density (ρ) can be calculated using the formula ρ = (mass/volume) = (density * πr^2), where r is the radius of the wire. 
Using the given values, we get:
Linear density = (8.60 × 10^3 kg/m^3) * π * (0.500 mm)^2 = 0.0538 kg/m 
Wave speed = sqrt(125 N / 0.0538 kg/m) = 136 m/s 
Therefore, the best choice is C, with a wave speed of 136 m/s.

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