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Radio activity

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Question

A sample of radioactive element has initial number of active nuclei N0 and half life of the element is T. Then number of nuclei decayed in the period from t = T to t = 2T is 

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Solution

At time t, number of active nuclei N=N0(2)t/T

Number of decayed nuclei =N0(2)T/T-N0(2)2T/T=N04


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