Experiments show that radius disintegrates at a rate proportional to the amount of radium present at the moment. Its half life is 1590 years. What percentage will disappear in one year? [Use `e^(-log2/1590)=0. 9996`]

Explanation

According to question:

Let the original amount of the radium be N and the amount of radium at any time t be P.


Given:- ` frac{d P}{d t} alpha P `

`Rightarrow frac{d P}{d t}=-a P`

`Rightarrow frac{d P}{P}=-a d t`



...