For a forward$-$biased bipolar junction transistor $($BJT$),$ the collector current $I_c$ is $1$ mA when the base$-$emitter voltage $V_{BE}$ is $0\mathrm{.}7$ V $.$ What is $I_C$ if $V_{BE}$ is increased by $10\%?26$ mV $)$

$(7$ marks$)$