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What is the lowest frequency for standing waves on a wire that is 10.5 m long,...

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?

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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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