An inductive coil has a resistance of $100 \Omega$. When an a.c. signal of frequency $1000 \ Hz$ is applied to the coil,the voltage leads the current by $45^{\circ}$. The inductance of the coil is
- A$\frac{0.25}{2 \pi} \ H$
- B$\frac{0.05}{\pi} \ H$
- C$\frac{0.25}{\pi} \ H$
- D$\frac{0.5}{\pi} \ H$
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