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LBRRIT2390
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Homework Statement
A 120 cm-long steel string with a linear density of 1.2 g/m is under 100 N tension. It is plucked and vibrates at its fundamental frequency.
What is the wavelength of the sound wave that reaches your ear in a 20 [tex]\circ[/tex]C room?
Homework Equations
Fundamental Frequency
f1 = [tex]\frac{v}{2L}[/tex]
Fundamental Frequency of a stretched string
f1 = [tex]\frac{1}{2L}[/tex][tex]\sqrt{\frac{T_s}{\mu}}[/tex]
Wavelengths of standing wave modes
[tex]\lambda[/tex]m = [tex]\frac{2L}{m}[/tex]
[tex]\lambda[/tex]m = [tex]\frac{v}{f_m}[/tex]
The Attempt at a Solution
I solved fundamental frequency as 143.3 then used
[tex]\lambda[/tex]m = [tex]\frac{v}{f_m}[/tex] to find the wavelength.
I also tried solving for fundamental frequency using
f1 = [tex]\frac{1}{2L}[/tex][tex]\sqrt{\frac{T_s}{\mu}}[/tex]
All of my answers have been incorrect. Please help!