Question

The half life period of radium is 1600 years. Its average life time will be

Answer 1

Average time will be about 3200 years

Answer 2

Answer:

The average life time will be 2308.8 years.

Explanation:

Given that,

Half life period of radium is 1600 years.

Average life is the reciprocal of the half life period.

It represented by the $\tau$.

$\tau=\dfrac{1}{K}$

Here, $K = \dfrac{0.693}{t_{\frac{1}{2}}}$

The average life will be

$\tau=\dfrac{t_{\frac{1}{2}}}{0.693}$

$\tau=\dfrac{1600}{0.693}$

$\tau=2308.8\ years$

Hence, The average life time will be 2308.8 years.