The figure shows a standing wave on a string with a frequency $\backslash ($ f $\backslash )$ and tension $\backslash ($ T$\_\{0\}\backslash ).$ The standing wave is between the two boundaries.

a$.$ Draw the standing wave if the tension is quadrupled $($increased by $4$ x $)$ while the frequency remained the same. If you can't explain why

b$.$ Draw the standing wave if the tension is instead, doubled $($increased by $2$ x $)$ while the frequency remained the same. If you can't explain why.