Pipes and resonant mode with a node in exact center

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oregongirl
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Homework Statement


What kind of pipe can never have a resonant mode with a node in the exact center? (choices are closed on both ends, open/closed on one end only. open on both ends) why?


Homework Equations


none given


The Attempt at a Solution


I think its closed on both ends because there is no where for the sound to escape, it keeps going back and forth threw the tube, but I am not sure.
 
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I'd go with the one open on both ends. In order to achieve resonance you need a bouncing surface. In the open pipe, the perturbation will pass right through and there won't be any waves colliding and interfering, hence, no resonance.