A first order active high pass filter has a pass band gain of $2$ and a cut$-$off corner frequency of $5$ kHz $.$ If the input capacitor has a value of $20$ nF $,$ calculate the resistor R :

$2\mathrm{.}43k$

$5\mathrm{.}14k$

$4k$

$3\mathrm{.}18k$