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

Question

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

Accepted Answer

Correct answer: B. (b) The effective half-life of the nucleus is given, = _1+ _2 ⇒ 0.693T= 0.693T_1+ 0.693T_2 ⇒ 1T= 1T_1+ 1T_2 ⇒T= T_1T_2T_1+T_2= 5 10^3 10^55 10^3 [1+20 ]= 5 10^5105=4762 yr .

$A radioactive nucleus can decay by two different processes. The half lives of the first and second decay processes are 5 \times 10^{3} and 10^{5} years respectively. Then, the effective half-life of the nucleus is$

Solution

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