The length of a string is L=0.6 m. The speed of traveling wave on the string is v=12m/s What is the linear frequency of the fundamental harmonic on the string? Please select one answer option n=20Hz n=7.2Hz n=36Hz n=10Hz

To find the linear frequency of the fundamental harmonic on the string, we can use the formula:<br /><br />\[ f = \frac{v}{2L} \]<br /><br />where \( f \) is the linear frequency, \( v \) is the speed of the traveling wave on the string, and \( L \) is the length of the string.<br /><br />Given:<br />\[ L = 0.6 \, \text{m} \]<br />\[ v = 12 \, \text{m/s} \]<br /><br />Substitute the given values into the formula:<br /><br />\[ f = \frac{12}{2 \times 0.6} \]<br />\[ f = \frac{12}{1.2} \]<br />\[ f = 10 \, \text{Hz} \]<br /><br />Therefore, the correct answer is:<br />\[ n = 10 \, \text{Hz} \]