1. Student observed ten antinodes on a string of length 1.70 m under tension produced by a mass of 0.22 kg. The string linear density is 1.3 gram/meter. What is the difference between the transverse wave velocity calculated from the string material properties and the one following from the standing wave configuration

velocity of standing wave = 0.34 * frequency  

Velocity of transverse wave =  40.724 m/sec

Explanation:

Given data

The linear mass density = 1.3 * 10^-3 kg/m

number of antinodes = 10

Total string length = 1.7 meters

first we have to calculate the tension in the string

= Mg = 0.22 * 9.81 = 2.156 N

next we will determine the velocity of the wave

=  =   = 40.724 m/sec

The distance between two antinodes = 1.7 / 10 = 0.17 m

next we calculate the wavelength = distance between antinodes * 2 = 0.34m

There is no difference between the transverse wave velocity calculated from the string material properties and the one following from the standing wave configuration and this is because the Frequency of vibration of the standing wave is not given

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