The half-life of radium is 1620 yr and its atomic weight is 226 kg per kilo mol. The number of atoms that will decay from its 1g sample per second will be (take, Avogadro's number, `N_(A)=6.023xx10^(23)` atom/kilo mol)

Options

A. `3.61xx10^(10)`
B. `31.1xx10^(15)`
C. `3.6xx10^(12)`
D. `3.1xx10^(15)`

Answer

A

Explanation

(a) we have , `(dN)/(dt)=lamdaN`
and `lamda =(0.9631)/(T_(1//2))=(0.9631)/(1620xx365xx24xx60xx60)`