Q.

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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Detailed Solution

After 10 days the sample contains (1-0.75) x 100% i.e., 25%  undecayed nuclei.Now NN0=1(2)n⇒25100=1(2)t/T⇒1(2)2=1(2)10/T⇒T=5 days
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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