An ideal organ pipe resonates at successive frequencies of `50 Hz , 150 Hz , 250 Hz` , etc. ( speed of sound ` = 340 m//s`) The pipe is

Options

A. Open at both ends and of length `3.4 m`
B. Open at both ends and of length `6.8 m`
C. Closed at one end , open at the other , and of length `1.7 m`
D. Closed at one end , open at the other , and of length `3.4 m`

Answer

C

Explanation

`f_(1) : f_(2) : f_(3) = 50 : 150 : 250 = 1 : 3 : 5`
Hence this is close pipe of fundamental frequency `50 Hz`
`50 = (v)/( 4L) rArr L = (v)/(200) (340)/(200) = 1.7 m`