NEET 2013 Physics question

If we study the vibration of a pipe open at both ends, then the following statement is not true -

(1)Open end will be antinode
(2)Odd harmonics of the fundamental frequency will be generated
(3)All harmonics of the fundamental frequency will be generated
(4)Pressure change will be maximum at both endsCorrect

Answer: (4)

Solution

In an air column open at both ends, each open end is a displacement antinode and therefore a pressure node (pressure remains equal to the atmospheric pressure, i.e. the pressure change is minimum/zero there). The allowed frequencies are

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Question ID VK-091315