The following waves are all fixed at the ends and all the stringsare identical a

Question

The following waves are all fixed at the ends and all the stringsare identical and are under the same amount of tension. Thevariables in these situations , in addition to the length L, arethe amplitude and the number of nodes. Find thewavelength and rank from greatest to least on the basis offrequency.
A) amplitude 12cm , L = 25cm and 6 nodes B) amplitude 12cm, L=28cm and 8 nodes C) amplitude 18cm, L= 27cm and 4 nodes
A) amplitude 12cm , L = 25cm and 6 nodes B) amplitude 12cm, L=28cm and 8 nodes C) amplitude 18cm, L= 27cm and 4 nodes

Explanation / Answer

For each wavelength, just use    2L / n so . A)   wavelength = 2*25/6 =  8.33 cm . B)   wavelength = 2 * 28 / 8 =   7.00 cm . C)   wavelength = 2 * 27 / 4   = 13.5 cm . Since frequency is inversely proportional to wavelength, thefrequencies are     B A C     from greatest to least

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