The Growth of Current in the Inductive Circuit in the Inset

The growth of current in the inductive circuit in the inset diagram is represented by the curve in the graph. The broken line is tangent to the curve at the origin. The time constant of the circuit is approximately

A) 3.0 ms
B) 2/R ms
C) 0.40 ms
D) 4.0 ms
E) 2.0 ms