For the reaction $N_{2(g)} + O_{2(g)} \rightleftharpoons 2NO_{(g)}$ at $2000 \ K$,the equilibrium constant is $4 \times 10^4$. If the equilibrium is reached $10$ times faster in the presence of a catalyst at the same temperature,the value of the equilibrium constant in the presence of the catalyst will be .......

• A
  $40 \times 10^{-4}$
• B
  $4 \times 10^{-4}$
• C
  $4 \times 10^4$
• D
  None of these