Question

which of the relation is correct of radioactive atom​

Answer 1

Answer:

Isotopes that are unstable, meaning they have an imbalance of neutrons and protons are radioactive. They release this extra energy and over time radioactively decay to a stable isotope. Radioactive materials occur naturally but are also man-made.

Answer 2

The correct relation for radioactive atom  half life  = 0.6931 × Average life​.

Explanation:

The half life is the amount of time taken by a radioactive material to decay to half of its original value.

∴ $t_{\dfrac{1}{2}}=\frac{0.6931}{\lambda}$

$\lambda$ = rate constant

⇒ $\lambda=\frac{0.6931}{t_\frac{1}{2}}$

Average life is the time in which concentration reduces to $\dfrac{1}{e}$ of the original concentration.

Radioactive atom,​ $t_{av}=\frac{1}{\lambda}$

⇒  $t_{av}=\frac{t_\frac{1}{2}}{0.6931}$

Thus, the correct relation for radioactive atom  half life  = 0.6931 × Average life​.