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## Homework Statement

could someone please explain :-

1. why the fundamental frequencies of 2 open pipes of the same diameter and of lengths l and 2l are not exactly in the ratio 2:1?

2. given that 2 open pipes of the same diameter but of lengths 50cm and 100cm are found to produce fundamental frequencies in the ratio 1:95,what can be concluded from these figures? [ans:endcorrection 1.31cm]

## Homework Equations

1. v=f[tex]\lambda[/tex]

## The Attempt at a Solution

[tex]\lambda[/tex]/2 for the 1st open pipe= l+2e ,therefore f1=v/2(l+2e)

[tex]\lambda[/tex]/2 for pipe2 = 2(l+2e),and f2=v/2(2l+2e)

f1 divided by f2 gives 2:1. since the frequency here depends on v,length and the endcorrection only,shouldn't the ratio be 2:1?

seems like i'm missing something but i can't figure out what & i haven't got a clue as to how to workout part 2.

any help would be much appreciated