Question

A closed organ pipe (closed at one end) is excited so as to support the third overtone. It is then found that in the pipe, there are:

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

Answer 1

The correct option is D Four nodes and four antinodes

It is known that when closed pipe vibrates in fundamental mode, there are one node and one antinode.
When it vibrates in first overtone, there are two nodes and two antinodes.
When it vibrates in second overtone, there are three nodes and three antinodes.
When it vibrates in third overtone, there are four nodes and four antinodes.