$($c$)$ Figure $3$ shows a pattern of resonant oscillation of a string of mass $m=2\mathrm{.}50g$ and $L=0\mathrm{.}80m$ and that is under tension $=325N.$

$[$Rajah $3$ menunjukkan suatu corak getaran resonans bagi suatu tali berjisim $m=2\mathrm{.}50g$ dan $L=0\mathrm{.}80m$ mempunyai tegangan $=325N.]$

$($i$)$ What is the wavelength $$ of the transverse waves producing the standing wave pattern, and what is the harmonic number $n?$

$[$Berapakah jarak gelombang $$ bagi gelombang melintang yang menghasilkan corak gelombang pegun, dan berapakah nombor harmonik $n?$

$($ii$)$ What is the frequency $f$ of the transverse waves?

$[$Berapakah frekuensi fbagi gelombang melintang?$]$

$($iii$)$ What is the maximum magnitude of the transverse velocity of the element oscillating at coordinate $x=0\mathrm{.}180m?$

$[$Berapakah magnitud maksima halaju melintang bagi unsur yang bergetar pada koordinat $x=0\mathrm{.}180m?]$

$($iv$)$ At which point during the element's oscillation is the transverse velocity maximum?

$[$Pada titik manakah semasa getaran unsur, halaju melintang adalah maksima? $]$

$(\frac{40}{100})$