At $25^{\circ} C$,the molar conductances at infinite dilution for the strong electrolytes $NaOH$,$NaCl$ and $BaCl_2$ are $248 \times 10^{-4}$,$126 \times 10^{-4}$ and $280 \times 10^{-4} \ S \ m^2 \ mol^{-1}$ respectively. The value of $\lambda_m^{\circ} Ba(OH)_2$ in $S \ m^2 \ mol^{-1}$ is:

  • A
    $52.4 \times 10^{-4}$
  • B
    $524 \times 10^{-4}$
  • C
    $402 \times 10^{-4}$
  • D
    $262 \times 10^{-4}$

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