Two coils $A$ and $B$ having turns $300$ and $600$ respectively are placed near each other, on passing a current of $3.0$ ampere in $A$, the flux linked with A is $1.2 \times {10^{ - 4}}\,weber$ and with $B$ it is $9.0 \times {10^{ - 5}}\,weber$. The mutual inductance of the system is

  • A

    $2 ×10^{-5}\, henry$

  • B

    $3 ×10^{-5} \,henry$

  • C

    $4 ×10^{-5}\, henry$

  • D

    $6 ×10^{-5}\,henry$

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