A wave travels in a string at 60 m/s.A second string of 20% greater linear density has the same tension applied as in the first string.What will be the resulting wave speed in the second string?
A)also 60 m/s
B)66 m/s
C)72 m/s
D)55 m/s

Question

Quizplus · Accepted Answer

The wave speed in a string is given by the formula $ v = \sqrt{\frac{T}{\mu}} $, where $ T $ is the tension and $ \mu $ is the linear density. If the second string has 20% greater linear density, its linear density is $ 1.2\mu $. The wave speed in the second string will be $ v = \sqrt{\frac{T}{1.2\mu}} = \frac{1}{\sqrt{1.2}} \times 60 \approx 55 $ m/s.

A Wave Travels in a String at 60 M/s