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

• A
  $40 \times 10^{-4}$
• B
  $4 \times 10^{-4}$
• C
  $4 \times 10^{-2}$
• D
  Cannot be determined.