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A cylindrical metal tube has a length of...

A cylindrical metal tube has a length of 50 cm and is open at both ends. Find the frequencies between 1000 Hz and 2000 Hz at which the air column in the tube can resonate. Speed of sound in air is `340 m s^-1`.

Text Solution

Verified by Experts

The correct Answer is:
1020 Hz, 1360 Hz and 1700 Hz]
Fundametal frequency of tube is
`n_(0) = (v)/(2l) = (340)/(2 xx 0.5 )` = 340 Hz
An open pipe resonates at all harmonics of fundamental frequency so the resenating frequencies are
`n_(R) = 340 N`
frequencies between 1000 Hz & 2000 Hz are for N = 3, 4, 5
`n_(R) = 1020 Hz, 1360 Hz & 1700 Hz`
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