If a closed organ pipe of length `L_(1)` in its fundamental mode resonates with an open organ pipe of length `L_(2)`, then `L_(1):L_(2)` is

Options

A. `1 : 2`
B. `2 : 1`
C. `1 : 4`
D. `4 : 1`

Answer

A

Explanation

For open organ pipe
`n=(v)/(4l)=(v)/(4L_(1))`
For closed organ pipe
`n=(v)/(2l)=(v)/(2L_(2))`
`(v)/(4L_(1))=(v)/(2L_(2))`
`(L_(1))/(L_(2))=(1)/(2)`