The deacy time `t` for radioactive element proceeds to `4` half-lives. The total decay time `(t)` in terms of average life `(T)` is given by:

Options

A. `t = 27` In `2`
B. `t = 4T` In `2`
C. `t = 27^(4)` In `2`
D. `(1)/(T^(2))` In `2`

Answer

`(b)`

Explanation

`t = 4xx t_(1//2)`
Also `t_(1//2) = (0.693)/(lambda) = 0.693xx T`
`:. t = 4xx0.693xx T`
`= 4T` in `2`