A 2-m long piano string of mass 10 g is under a tension of 348 N.Find the speed with which a wave travels on this string.

A) 528 m/s
B) 264 m/s
C) 132 m/s
D) 373 m/s
E) 83 m/s

Question

A 2-m long piano string of mass 10 g is under a tension of 348 N.Find the speed with which a wave travels on this string.
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A) 528 m/s
B) 264 m/s
C) 132 m/s
D) 373 m/s
E) ​83 m/s

Quizplus · Accepted Answer

The speed with which a wave travels on a string is given by the equation:

v=√(T/μ)

where T is the tension in the string and μ is the mass per unit length of the string.

In this case, we have:

T = 348 N
μ = m/L = 10 g / 2 m = 5 g/m = 0.005 kg/m

Substituting these values into the equation, we get:

v = √(T/μ) = √(348 N / 0.005 kg/m) ≈ 264 m/s

Therefore, the answer is option B) 264 m/s.

A 2-M Long Piano String of Mass 10 G Is