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Radio activity

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Question

A radioactive sample starts decaying at t = 0. After 10 days the number of decayed nuclei is found to be 75%. Then half life of the sample is 

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Solution

After 10 days the sample contains (1-0.75) x 100% i.e., 25%  undecayed nuclei.

Now NN0=1(2)n25100=1(2)t/T1(2)2=1(2)10/TT=5 days


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