A radioactive nucleus can decay by two different processes. The half lives of the first and second decay processes are `5 xx 10^(3)` and `10^(5)` years respectively, Then, the effective half-life of the nucleus is,

Options

A. `105 xx 10^(5)`
B. 4762 yrs
C. 104 yrs
D. 47.6 yrs

Answer

B

Explanation

`T_(1) = 5 xx 10^(3)` and `T_(2) = 10^(5)`
Effective Half-life of the nucleus is,
`T=T_(1)T_(2)/(T_(1) + T_(2))``:. T =4762 yrs`