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:

For a closed pipe, the overtone sequence follows odd harmonics ($1, 3, 5, 7$). The third overtone corresponds to the 7th harmonic. It has 4 nodes and 4 antinodes (number of nodes = number of antinodes = overtone + 1).