Atoms And Nuclei Question 382

Question: A radioactive nucleus can decay by two different processes. The half-life for the first process is t1 and that for the second process is t2 . If effective half-life is t, then

Options:

A) t=t1+t2

B) 1t=1t1+1t2

C) t=2t1t2t1+t2

D) t=t1+t22

Show Answer

Answer:

Correct Answer: B

Solution:

  • dNdt=N,(λ1+λ2)=Nλ
    ,λ=λ1+λ2 so 1t=1t1+1t2,[as,λ=0.693t]


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