Four different radioactive elements are kept in separated containers. In the beginning the container `A` has `200 g`-atom with half-life of `2` days, `B` has `20 g`-atom with half-life of `20` days, `C` has `2g`-atom with half-life `200` days and `D` has `100g`-atoms wityh half-life of `10` days. In the begining the maximum activity exhibited by the container is

Options

A. `A`
B. `B`
C. `C`
D. `D`

Answer

A

Explanation

The activity of radioactive element is given by
`R= lambdaN=(0.631N)/(T)`Thus, `R prop (N)/(T)`. The value of `(N)/(T)` is largest for the element in the container `A`.