A $12\mathrm{.}5-$g clothesline is stretched with a tension of $22$ N between two poles $7\mathrm{.}7$ m apart.

a$.$ What is the frequency of the fundamental wave and the second harmonic? Sketch

the standing wave patterns for these harmonics.

b$.$ If the tension in the clothesline is increased, do the frequencies in part $($a$)$ increase,

decrease, or stay the same? Please explain.

c$.$ If a more massive rope is used for the clothesline, do the frequencies in part $($a$)$

increase, decrease, or stay the same? Please explain.