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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:
A, B, C, D
Here given that
`I=50cm, v=340m/s`
`As it is an open organ pipe the fundamental freqency
`f_1=(v/(2I)`
`=340/(2xx50x10^-2)`
So the harmonics are
`f_3=3xx340=1020Hz`
`f_5=5xx340=1700Hz`
`f_6=6xx340=240Hz`
so the possible frequencies are between 1000 Hz and 2000 Hz are 1020,1360,1700`.
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