Question

an air column closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is 50cm. the next larger length of the column resonating with the same tuning fork is?
a) 200cm
b) 66.7cm
c) 100cm
​d) 150cm

Answer 1

Early vibration theory: Physics and music in the seventeenth century

Sigalia Dostrovsky

Archive for History of Exact Sciences 14 (3), 169-218, 1975

2.2. The Interest in a Physics of Pitch … 3. The Fundamental mode 3.1. The Vibrating String: The Dependence of Frequency on Length … 4. The Puzzle of Overtones and Higher Modes 4.1. Overtones … 6. Higher Modes 6.1. The First Discussions of Nodes: WALLIS and ROBARTES … The basic ideas of vibration theory were formulated during the seventeenth century. BENEDETTI, VINCENZO and GALILEO GALILEI, BEECKMAN, DESCARTES, MERSENNE, HUYGENS, WALLIS …

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An investigation of the accuracy of König’s formula for the Rayleigh disk

AC Merrington, CW Oatley

Proc. R. Soc. Lond. A 171 (947), 505-524, 1939

Since the introduction of the thermionic valve amplifier, the science of acoustics has been revolutionized and the need for accuracy in the measure-ment of acoustical quantities is becoming ever more important. The measurement of the intensity of sound has always presented grave difficulties, and While, at the present time, we possess several instruments with which intensities may be compared with considerable accuracy, the absolute measurement of intensity is still subject to a great deal of uncertainty. One of the most attractive methods of making such measurements was first proposed by the late Lord Rayleigh (1882) and is generally known as the Rayleigh disk method. When a thin circular disk is situated in a fluid stream, it experiences a torque tending to twist it so that its axis shall lie in the direction of the stream. The following quantitative relationship between the torque G and the stream velocity uwas derived by Konig (r 891

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