A 2.00-m long piano string of mass 10.0 g is under a tension of 320 N.Find the speed with which a wave travels on this string.
A)506 m/s
B)253 m/s
C)126 m/s
D)358 m/s
E)80.0 m/s

Question

Quizplus · Accepted Answer

The speed of the wave on a string is given by the formula:

v = √(T/μ)

where T is the tension in the string and μ is the linear density (mass per unit length) of the string.

In this case, we are given T = 320 N and μ = m/L, where m is the mass of the string (10.0 g) and L is the length of the string (2.00 m).

So, μ = m/L = 10.0 g / 2.00 m = 5.00 g/m = 0.00500 kg/m

Substituting into the formula, we get:

v = √(T/μ) = √(320 N / 0.00500 kg/m) = 253 m/s

Therefore, the best choice is B) 253 m/s.

A 200-M Long Piano String of Mass 10