The half life period of a radioactive substance is 5.27 years (decay constant `=2.5xx10^(-7)min""^(-1)`). The decay activity of 2.0 g of the sample is about :

Options

A. `5xx10^(10)` dpm
B. `7.5xx10^(15)` dpm
C. `5xx10^(5)` dpm
D. `7.5xx10^(20)` dpm.

Answer

C

Explanation

Decay activity,
`-(dN)/(dt)=lamdaxxN`
`=2.5xx10^(-7)xx(2.0xx6.02xx10^(23))/(60)`
`=5.0xx10^(15)` dpm