The mutual inductance between two coils is $10\mathrm{.}0$ mH$.$ The current in the first coil changes uniformly from $2\mathrm{.}70$ A to $5\mathrm{.}00$ A in $0\mathrm{.}160$ s$.$ If the second coil has a resistance of $0\mathrm{.}600,$ what is the magnitude of the induced current in the second coil?

Question $6$ options:

$0\mathrm{.}240$ A

$240$ A

$0\mathrm{.}144$ A

$2\mathrm{.}40$ A