In a common emitter transistor amplifier, signal voltage across the collector resistance of $2 \mathrm{k\Omega }$ is $2 \mathrm{volt}$. What should be the value of resistance  $R_B$ in series with  $V_{BB}$  voltage supply of $2 \mathrm{volt}$ in the input circuit, if the $\mathrm{D}.\mathrm{C}.$ base current is $10$times the signal current in $R_B$?

$($Given: base emitter voltage ${\text{V}}_{BE}=0.6 \mathrm{V}$, current amplification factor ${\beta }_{ac}\approx {\beta }_{dc}=100$$)$