When a $DC$ voltage of $200\, V$ is applied to a coil of self inductance $\frac{{2\sqrt 3 }}{\pi }\,H$, a current of $1\, A$ flows through it. But by replacing $DC$ source with $AC$ source of $200\, V$, the current in the coil is reduced to $0.5\, A$. Then, the frequency of $AC$ supply is......$Hz$

  • A

    $100$

  • B

    $75$

  • C

    $60$

  • D

    $50$

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