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If a flute sounds a note with 450 Hz , w...

If a flute sounds a note with 450 Hz , what are the frequencies of the second , third , and fourth harmonics of this pitch ? If the clarinet sounds with a same note as 450 Hz , then what are the frequencies of the lowest three harmonics produced ?

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For a flute which is an open pipe , we have
Second harmonics `" " f_(2) = 2f_(1) = 900` Hz
Third harmonics `" " f_(3) = 3 f_(1) = 1350` Hz
Fourth harmonics `" " f_4 = 4 f_1 = 1800` Hz
For a clarinet which is a closed pipe , we have
Second harmonics `" " f_(2) = 3f_(1) = 1350` Hz
Third harmonics `" " f_(3) = 5f_(1) = 2250` Hz
Fourth harmonics `" " f_(4) = 7 f_(1) = 3150` Hz
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