$8$ pts$)$ A guitar string is supposed to be tuned such that it plays an A$-$note, with a fundamental

$($first harmonic$)$ frequency at $440$Hz$.$ But it is out of tune and is instead generating a note with a

fundamental frequency at $447$Hz$.$ In order to tune the guitar, you change the tension in the

string. If the original tension in the guitar string is given by T$,$ what should the new tension of the

string be to bring the guitar in tune?

A$.0\mathrm{.}768$ x T

B$.1\mathrm{.}032$ x T

C$.0\mathrm{.}969$ x T

D$.1\mathrm{.}01$ x T

E$.0\mathrm{.}887$ x T