Under the same reaction conditions,initial concentration of $1.386 \ mol \ dm^{-3}$ of a substance becomes half in $40 \ s$ and $20 \ s$ through first order and zero order kinetics,respectively. The ratio $\left(\frac{k_1}{k_0}\right)$ of the rate constants for first order $\left(k_1\right)$ and zero order $\left(k_0\right)$ of the reactions is:

• A
  $0.5 \ mol^{-1} \ dm^3$
• B
  $1.0 \ mol \ dm^{-3}$
• C
  $1.5 \ mol \ dm^{-3}$
• D
  $2.0 \ mol^{-1} \ dm^3$