Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area $A = 10\ cm^2$ and length$= 20\ cm$. If one of the solenoid has $300$ turns and the other $400$ turns, their mutual inductance is

$\mu_{0}=4 \pi \times 10^{-7} \;TmA ^{-1}$

  • [AIEEE 2008]
  • A

    $2.4$$\pi $ $\times$ $10^{-4}$ $H$

  • B

    $2.4$ $\pi $ $\times$ $10^{-5}$ $H$

  • C

    $4.8$$\pi $ $\times 10^{-4}$ $H$

  • D

    $4.8$ $\pi $ $\times$ $ 10^{-5} $ $H$

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