Question

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

• A. $L$
• B. $2L$
• C. $\frac{L}{2}$
• D. $4L$

Answer 1

Answer: (B)

$2L$

Answer 2

$\frac{3v}{2\ell_{0}} = \frac{3v}{4L}$ $2\ell_{0} = 4L$ $\ell_{0} = 2L$