Question

What is the lowest frequency for standing waves on a wire that is 10.5 m long, has a mass of 150.0 g, and is stretched under a tension of 205.0 N? What is the second lowest frequency? And what is the third lowest frequency?

Answer #1

Lowest frequency is fundamental frequency,f0

f0 = (1/2L) *?(T/m)

L = Length = 10.5 m, T = Tension = 205 N

m = massper
unit length = Mass
/length = 150 * 10^{-3} /10.5

m = 14.286 *10^{-3}
kg/m

f0 = (1
/2*10.5) * ?(205 / 14.286 *10^{-3}) = 5.70
Hz

Nextlowest = f1 = 2*f0 = 2* 5.7 = 11.4 Hz

Nextlowest = f2 = 3*f0 = 17.1 Hz

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