Standing Wave in String and Organ Pipe: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Standing Wave in String and Organ Pipe. Understanding the underlying formula is key to arriving at the correct answer below:

Wave speed on a string is \(v = \sqrt{\frac{T}{\mu}}\), where \(\mu = \frac{M}{L} = \frac{10^{-4}\text{ kg}}{1\text{ m}} = 10^{-4}\text{ kg/m}\). Substituting the values, \(v = \sqrt{\frac{16}{10^{-4}}} = \sqrt{16 \times 10^4} = 400\text{ m/s}\).