Shown below are several different standing waves all on strings that are fixed a

Question

Shown below are several different standing waves all on strings that are fixed at both ends. The strings are all identical except for their lengths and are all under the same tension. Above each standing wave is the length of the string and the amplitude of the standing wave. Rank the standing waves from greatest to least according to their frequencies. Some standing waves may have the same frequency. A. A = 12 cm L = 25 cm B. A = 12 cm L = 28 cm C. A = 18 cm L = 27 cm D. A = 16 cm L = 28 cm E. A = 24 cm L = 20 cm F. A = 36 cm L = 30 cm

Explanation / Answer

f = (1/2L)(T/Mu)^(1/2)

Where
L is the length of the string
T is the tension in the string
is its linear mass density

Now T and Mu is constant hence,

f directly proportional to 1/L

Hence,
ranking greatest to least :

E > A > C > B = D > F

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