An inductance coil has a resistance of $100 \Omega$. When an $A.C.$ signal of frequency $100 \ Hz$ is applied to the coil,the voltage leads the current by $45^{\circ}$. The inductance of the coil in henry is $\left[\sin 45^{\circ}=\cos 45^{\circ}=\frac{1}{\sqrt{2}}\right]$
- A$\frac{1}{\pi}$
- B$\frac{5}{2 \pi}$
- C$\frac{2}{\pi}$
- D$\frac{1}{2 \pi}$
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