Question

an open at both ends pipe has a length of 50cm.what are three lowest frequencies to which it will resonate? (v=340m/s)
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Answer 1

A pipe open only at one end and another one of equal length but open at both the ends have their fundamental frequencies vand2v υand2υrespectively. Again only odd harmonics are possible for a pipe open at one end whereas all second harmonics are possible for a pipe open at both ends. Thus, it is impossible to have a common frequency at which they can resonate.

Answer 2

The three lowest frequencies to which it will resonate is 340Hz,680Hz,1020Hz.

Explanation:

$f=\frac{nv}{2L}$

$f_{1}=\frac{1.340}{2.0.5}$

$f_{1}=340Hz$

$f_{2}=\frac{2.340}{2.0.5}$

$f_{2}=680Hz$

$f_{3}=\frac{3.340}{2.0.5}$

$f_{3}=1020Hz$.