Question

A standing wave is established in an organ pipe that is closed at one end and open at the other end. Which statement is true? a) Displacement nodes are located at each end of the pipe b) A displacement antinode is located at the open end and a displacement node is located at the closed end. c)Displacement nodes are located at each end of the pipe. d)A displacement node is located at the open end and a displacement antinode is located at the closed end

Answer 1

The correct statement is: A displacement antinode is located at the open end and a displacement node is located at the closed end.

Step-by-step explanation:

The correct statement is: b) A displacement antinode is located at the open end and a displacement node is located at the closed end.

In a closed-end organ pipe, the vibrating air column will form a standing wave pattern. At the open end of the pipe, there will be a displacement antinode, where the air particles have maximum displacement. At the closed end of the pipe, there will be a displacement node, where the air particles have no displacement.

This standing wave pattern in the pipe is established due to the reflection of the sound wave at the closed end and the superposition of the incident and reflected waves.