String Mass Per Unit Length Calculation
Two identical violin strings, each 0.3 m long and under 80 N of tension, are tuned to a fundamental frequency of 440 Hz. A 10 g mass is then attached to the center of one string, producing a beat frequency of 4 Hz when both strings vibrate. What is the mass per unit length of the original strings?
A
1.15 × 10^-3 kg/m
B
6.82 × 10^-4 kg/m
C
3.41 × 10^-3 kg/m
D
2.72 × 10^-3 kg/m
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