Pressure Node in Organ Pipe – Rankers Physics
Topic: Waves
Subtopic: Standing Wave in String and Organ Pipe

Pressure Node in Organ Pipe

Assertion (A): Node of pressure wave is formed at the open end of an organ pipe.
Reason (R): Reflected pressure wave from an open end will have phase difference of \( \pi \) w.r.t. to the incident pressure wave.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

At the open end of an organ pipe, the pressure is approximately atmospheric pressure, meaning there is no excess pressure variation, hence it is a pressure node. When a pressure wave reflects from an open end (a boundary to a less dense medium), it undergoes a \( \pi \) (180 degrees) phase shift. This phase shift causes the incident and reflected waves to destructively interfere at the open end, creating a pressure node. Both A and R are true, and R explains A.

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