A bulb is rated $100\;V,100\;W$ The inductance of an inductor that should be connected in series with the bulb to operate the bulb at rated power, with ac source $200 V, 50 \;Hz$

Question

$(a)\;\large\frac{\sqrt 3}{\pi}\;H \\ (b)\;\sqrt 3 H \\(c)\;\sqrt 3 \pi H \\(d)\;3H$