An ideal inductive coil has a resistance of `100gamma` When an ac signal of frequency `100Hz` is applied to the coil the voltage leads the current by `45^(@)` The inductance of the coil is .
A. `(1)/(10pi)H`
B. `(1)/(20pi)H`
C. `(1)/(40pi)H`
D. `(1)/(60pi)H`