A guitar string with mass density $=2\mathrm{.}310-4$ kg$/$m is L $=1\mathrm{.}06$ m long on the guitar. The string is tuned by adjusting the tension to T $=112\mathrm{.}6$ N$.$

$1)$

With what speed do waves on the string travel?

m$/$s

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$2)$

What is the fundamental frequency for this string?

Hz

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$3)$

Someone places a finger a distance $0\mathrm{.}168$ m from the top end of the guitar.

What is the fundamental frequency in this case?

Hz

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$4)$

To $$down tune$$ the guitar $($so everything plays at a lower frequency$)$ how should the tension be adjusted?

increase the tension

decrease the tension

changing the tension will only alter the velocity not the frequency

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