If we study the vibration of a pipe open at both ends, then the follo...
Statement: If we study the vibration of a pipe open at both ends, then the following statement is not true.
a) All harmonics of the fundamental frequency will be generated
The statement is true. When studying the vibration of a pipe open at both ends, all harmonics of the fundamental frequency will be generated. The fundamental frequency is the lowest natural frequency at which the pipe can vibrate, and the harmonics are integer multiples of the fundamental frequency.
b) Pressure change will be maximum at both ends.
The statement is false. In a pipe open at both ends, the pressure change will be minimum at both ends, not maximum. This is because at the open ends, the air particles are free to move, resulting in maximum displacement and minimum pressure change.
c) Open end will be antinode.
The statement is true. In a pipe open at both ends, the open ends will always be points of maximum displacement, also known as antinodes. This is because the air particles at the open ends are free to move and can vibrate with maximum amplitude.
d) Odd harmonics of the fundamental frequency will be generated.
The statement is true. In a pipe open at both ends, odd harmonics of the fundamental frequency will be generated. This means that the frequencies produced will be odd multiples of the fundamental frequency. For example, if the fundamental frequency is f, the second harmonic will be 3f, the third harmonic will be 5f, and so on.
Conclusion:
The correct answer is option 'B' - The statement "Pressure change will be maximum at both ends" is not true when studying the vibration of a pipe open at both ends. The pressure change will be minimum at both ends.
If we study the vibration of a pipe open at both ends, then the follo...
Pressure change will be minimum at both ends.
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