The activity of two radioactive nuclei $Q$ and $R$ is plotted on a semi-log graph. The half-life and decay constant of $Q$ and $R$ are $\left(\tau_Q, \lambda_Q\right)$ and $\left(\tau_R, \lambda_R\right)$ respectively. The plot implies that (the symbol " $\approx$ " means "approximately equal to")

• A

  $\tau_Q \approx \tau_R \quad$ and $\quad \lambda_Q \gt \lambda_R$
• B

  $\tau_Q \gt \tau_R \quad$ and $\quad \lambda_Q \lt \lambda_R$
• C

  $\tau_Q \approx \tau_R \quad$ and $\quad \lambda_Q \approx \lambda_R$
• Correct answer
  D

  $\tau_Q \lt \tau_R \quad$ and $\quad \lambda_Q \gt \lambda_R$

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