A very long string (linear density 0.7 kg/m ) is stretched with a tension of 85 N . One end of the string oscillates up and down with an amplitude of 7 cm and a period of 0.35 s . What is the wavelength of the waves created in the string?
Solution) Linear density , U = 0.7 kg/m
Tension , T = 85 N
Amplitude , A = 7 cm = 0.07 m
Period , t = 0.35 s
Wavelength, Lambda = ?
V = (T/U)^(1/2)
V = (85/0.7)^(1/2)
V = 11.02 m/s
V = f(Lambda)
Lambda = (V/f)
f = 1/t
f = 1/(0.35)
f = 2.86 Hz
Lambda = (11.02/2.86)
Lambda = 3.85 m
Wavelength = 3.85 m
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