Q. 215.0( 4 Votes )

(a) Derive the ma

Answer :

In any radioactive decay,



where λ is the radioactive decay constant or disintegration constant.


So,
or


Integrating both sides,



Taking t˳ to be zero


or



This is the law of radioactive decay.


(ii) Let mean life be τ.


The number of nuclei which decay in the time interval t to t+ Δt is .


So,


Solving it by integration by parts,



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