The activity of a sample of radioactive material is `A_1 ` at time `t_1 and A_2` at time `t_2(t_2 gt t_1)`. It mean life is T .

Options

A. `R_(1)t_(1)=R_(2)t_(2)`
B. `(R_(1)-R_(2))/(t_(1)-t_(2))`=constant
C. `R_(2)=R_(1)e^((t_(1)-t_(2))//T`
D. `R_(2)=R_(1)e^((t_(1)//t_(2))//T`

Answer

C

Explanation

Activity, `R=R_(0)e^(-lamdat),thereforeR_(1)=R_(0)e^(-t//T)`
`implies"Aganin",R_(2)=R_(0)e^(-t2//T)`
`therefore R_(2)=R_(1)e^(-t2//T)impliesR_(2)=R_(1)e^(((t_(1)-t_(2)))/(T))`