Answer to Question #141921 in Physics for Johannes Steven

Question #141921

Under constant tension and constant mass per unit length, the note produced by a plucked string is 500 Hz when the length of the string is 0.90 m. At what length is the frequency 150 Hz?

Expert's answer

"f=\\frac{1}{L}\\sqrt{\\frac{T}{m}}\\\\F_1L_1 = F_2L_2\\\\(500)0.9=150L_2\\\\L_2=3\\ m"

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