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InterviewSolution
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Define half-life period of a radioactive substance. Establish its relationship with the decay constant. |
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Answer» Solution :Half-life period of a radioactive substance is the time at which both number of nuclides of radioactive substance as WELL as its ACTIVITY (7.E., both N and R) have been reduced to one-half of their initial values. THUS, at `t =T_(1/2), N=N_(0)/2` Hence, from relation `N=N_(0)e^(-lambdat)`, we have `N_(0)/2= N_(0)e^(-lambdaT_(1/2))implies log_(e) 2 = lambda T_(1/2)` or `T_(1/2)=(log_(e)2)/(lambda)=0.693/(lambda)`. |
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