Half-life period of a first-order reaction is 1386 seconds. The specific rate constant of the reaction is :

• A

  $5.0 \times 10^{-2} \mathrm{~s}^{-1}$
• B

  $5.0 \times 10^{-3} \mathrm{~s}^{-1}$
• C

  $0.5 \times 10^{-2} \mathrm{~s}^{-1}$
• Correct answer
  D

  $0.5 \times 10^{-3} \mathrm{~s}^{-1}$

Hence, the correct answer is option: 'D'.