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:

Distance from fixed end (node) to nearest node is $\frac{\lambda}{2} = 10 \text{ cm} = 0.1 \text{ m}$. Thus $\lambda = 0.2 \text{ m}$. Velocity $v = f\lambda = 100 \times 0.2 = 20 \text{ m/s}$.