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

The frequencies given are odd multiple of fundamental . Hence close organ pipe
`50 = (1)/( 4 l) xx 340 rArr l = 1.7 m`