Rate constant of a reaction is  $10 \mathrm{lit} {\mathrm{mole}}^{-1} {\min }^{-1}$. Then the correct relation between half life and initial concentration for the reaction is

• A

  ${\mathrm{t}}_{\frac{1}{2}}\propto \frac{1}{\mathrm{a}}$

• B

  ${\mathrm{t}}_{\frac{1}{2}}\propto \mathrm{a}$

• C

  ${\mathrm{t}}_{\frac{1}{2}}$is independent of initial concentration 

• D

  ${\mathrm{t}}_{\frac{1}{2}}\propto \mathrm{\hspace{0.17em}}\frac{1}{{\mathrm{a}}^2}$