Q. 17

# (a) Write the rel

Answer :

(a)We know that in radioactive decay ... (1)

where N(t)=no. of particles after t time

N0=no. of particles in starting of radioactive decay

λ= decay constant

Half-life of a radioactive substance is defined as the time taken for the substance to reduce to /2. Taking log on both sides,  And theory of average life is, where, S is sum of all particle lives which were there during the period t to t+dt

Therefore, sum of lives of As,       As,  (b)

Initially for A no. Of particles is No and for B 2No

And half-life of A is 60 years, 30 years for B. Decay constant of A = And Decay constant of B = Using the eq. Of radioactive decay

i.e. According to question for A after some time no. Of particles of A becomes as twice of no. Of particles of B  And Dividing both equations, we get  Taking log both sides, we get Substituting the value of decay constant of A and B respectively we get  Rate this question :

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