If initial angular velocity is $0de\frac{g}{s}(w_i),$ which of the following situations would result in the greatest final angular velocity $(w_i)?(T=$ torque applied; $Dt=$ time that torque is applied; I $=$ moment of inertia$)$

$T=50Nmt=2sI=1kg{m}^2$

$T=100Nmt=2sI=1kg{m}^2$

$T=100Nm=1sI=2kg{m}^2$

$T=50Nmt=4sI=2kg{m}^2$