The second overtone of an organ pipe has the same frequency as the first overtone of a closed pipe L metre long- The length of the pipe will be4LL2Lfrac-L-2-

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Toppr Admin · Accepted Answer

Frequency of second overtone of open organ pipe-3v2lFirst overtone of closed pipe-3v4LHence 3v2l-3v4L-x27F9-L-l2-x27F9-l-2L

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be
4L
L
2L
$\frac{L}{2}$

Frequency of second overtone of open organ pipe= $\frac{3 v}{2 l}$
First overtone of closed pipe= $\frac{3 v}{4 L}$
Hence $\frac{3 v}{2 l} = \frac{3 v}{4 L}$
$⟹ L = \frac{l}{2}$
$⟹ l = 2 L$

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be4LL2LL2

Frequency of second overtone of open organ pipe=3v2lFirst overtone of closed pipe=3v4LHence 3v2l=3v4L⟹L=l2⟹l=2L

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be
4L
L
2L
$\frac{L}{2}$

Frequency of second overtone of open organ pipe= $\frac{3 v}{2 l}$
First overtone of closed pipe= $\frac{3 v}{4 L}$
Hence $\frac{3 v}{2 l} = \frac{3 v}{4 L}$
$⟹ L = \frac{l}{2}$
$⟹ l = 2 L$