A 2.0-m long piano string of mass 10 g is under a tension of 338 N.Find the speed with which a wave travels on this string.
A)130 m/s
B)260 m/s
C)520 m/s
D)1 040 m/s

Question

Quizplus · Accepted Answer

The speed of a wave on a string is given by the formula $ v = \sqrt{\frac{T}{\mu}} $, where $ T $ is the tension and $ \mu $ is the linear mass density. The linear mass density $ \mu $ is the mass per unit length, which is $ \frac{10 \, \text{g}}{2.0 \, \text{m}} = 0.005 \, \text{kg/m} $. Substituting the values, $ v = \sqrt{\frac{338 \, \text{N}}{0.005 \, \text{kg/m}}} = 260 \, \text{m/s} $.

A 20-M Long Piano String of Mass 10 G Is Under