A guitar string has a length of 642.0 mm and a mass of 3.70 g. The rope presents its fundamental mode of vibration at a frequency of 196.0 Hz. Figure 1: Guitar stcios Answer the following question qualitatively (without calculating): Consider that the string vibrates at a certain harmonic with its respective frequency. The string is then vibrated at twice the frequency it originally had at its harmonic. When doubling the frequency, are there at least the same number of nodes as was there when it vibrated at its original frequency? Explain what happens to the distance between adjacent nodes when the string vibrates at the new frequency.

A guitar string has a length of 642.0 mm and a mass of 3.70 g. The rope presents its fundamental mode of vibration at a frequency of 196.0 Hz. Figure 1: Guitar stcios Answer the following question qualitatively (without calculating): Consider that the string vibrates at a certain harmonic with its respective frequency. The string is then vibrated at twice the frequency it originally had at its harmonic. When doubling the frequency, are there at least the same number of nodes as was there when it vibrated at its original frequency? Explain what happens to the distance between adjacent nodes when the string vibrates at the new frequency.