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A 2.25-meter-long pipe has one end open. Among its possible standing-wave frequencies is 345...

Question:

A 2.25-m-long pipe has one end open. Among its possible standing-wave frequencies is 345 Hz; the next higher frequency is 483 Hz.

1. What is the fundamental frequency?

2. What is the sound of speed?

Standing waves in air columns:

Standing waves can be set up in an organ pipe as a result of the interference of the sound waves travelling in opposite directions.

In a pipe with one closed end, the closed end is a displacement node. The open end of an air column is a displacement anti-node.

In case of a pipe open at one end, the natural frequencies of oscillation form a harmonic series that includes only odd integer multiple of fundamental frequency.

Answer and Explanation:

Given:

  • Length of the pipe with one end open {eq}L= 2.25\ m {/eq}
  • Possible consecutive standing wave frequencies {eq}f_n= 345\ Hz\\ f_{n+1}= 483\...

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