Given:
The length of the string is l = 6 m
The speed of the wave is
[tex]v=2\times10^2\text{ m/s}[/tex]
Required: Lowest possible frequency for the standing wave.
Explanation:
The lowest possible frequency is the fundamental frequency.
The fundamental frequency can be calculated by the formula
[tex]f=\frac{v}{2l}[/tex]
On substituting the values, the fundamental frequency will be
[tex]\begin{gathered} f=\frac{2\times10^2}{2\times6} \\ =16.67\text{ Hz} \end{gathered}[/tex]
Final Answer: The lowest possible frequency for standing waves on this string is 16.67 Hz
