An open organ pipe is excited to vibrate in the third overtone. It is observed that there are

Options

A. Three nodes and three antinodes
B. Three nodes and four antinodes
C. Four nodes and five antinodes
D. Four nodes and four antinodes

Explanation

To solve the problem of determining the number of nodes and antinodes in an open organ pipe vibrating in its third overtone, we can follow these steps:

### Step 1: Understand the Basics of Harmonics in an Open Organ Pipe
An open organ pipe supports standing waves with both ends open. The harmonics (or overtones) are characterized by the number of segments formed in the standing wave pattern.

### Step 2: Identify the Number of Segments in the Third Overtone
In an open organ pipe:
- The fundamental frequency (1st harmonic) has 1 segment.
...