question archive Consider waves on a string with both ends fixed

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Consider waves on a string with both ends fixed. The length is 1cm and the fundamental mode [which is the lowest resonant mode] is at 1KHz. The string is at temperature T=300K. What is the total thermal energy contained in the interval 1MHz-1GHz. This is a classical calculation. What is the square root of the average of the square of the displacement amplitude for this thermal motion?