Abstract

Normal modes and dispersion relations are studied in a beaded string by forming stationary waves. Thin copper wire, with brass beads mounted on it, works as a one-dimensional medium possessing a granular structure. The beaded string carrying a sinusoidal current is forced to oscillate under the action of an external magnetic field. Various normal modes are conveniently excited and the observed ω vs k relationship agrees well with the theoretical predictions. Simplicity of the apparatus, tractibility of the mathematical analysis, and the correspondence between theoretical predictions and measurements make the experiment suitable for an undergraduate laboratory.

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