An air column in a pipe closed at one end vibrates in unison with a pipe open
at both ends in the mode of second overtone. Compare their lengths.
Please answer my question I will mark it BRAINLIEST
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● Answer -
Lc : Lo = 5 : 6
● Explaination -
For closed organ pipe, 2nd overtone is given by -
n5 = 5v / 4Lc
For open organ pipe, 2nd overtone is given by -
p3 = 3v / 2Lo
As given, second overtones of both pipes are in unison
n5 = p3
5v / 4Lc = 3v / 2Lo
Lc / Lo = 5 / 6
Therefore, length of closed and open organ pipe are in ratio 5 : 6.
Hope this helps you...
● Answer -
Lc : Lo = 5 : 6
● Explaination -
For closed organ pipe, 2nd overtone is given by -
n5 = 5v / 4Lc
For open organ pipe, 2nd overtone is given by -
p3 = 3v / 2Lo
As given, second overtones of both pipes are in unison
n5 = p3
5v / 4Lc = 3v / 2Lo
Lc / Lo = 5 / 6
Therefore, length of closed and open organ pipe are in ratio 5 : 6.
Hope this helps you...
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