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Can someone explain this problem to me when the length of thelonger wire is 4L?

ID: 1676429 • Letter: C

Question

Can someone explain this problem to me when the length of thelonger wire is 4L?
This is what I have but it's incorrect:
length of shorter wire = L length of longer wire = 4L tension in the longer wire is four times greater than the shorter wire fundamental frequency in shorter wire is 70 Hz
f2 = 2f1    = 2(70 Hz)    = 140 Hz
This is what I have but it's incorrect:
length of shorter wire = L length of longer wire = 4L tension in the longer wire is four times greater than the shorter wire fundamental frequency in shorter wire is 70 Hz
f2 = 2f1    = 2(70 Hz)    = 140 Hz

Explanation / Answer

Length L = L

           L‘ = 4L

Tension T = T

            T ‘ = 4 T

Fundamental frequency of shorter wire f = 70 Hz

We know fundamental frequency f = ( 1/ 2L ) [ T/ m ]