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  • (a) Differentiate between half-life and average life of a radioactive substance. (b) A radioactive substance decays for an interval of time equal to its mean life. Find the fraction of the amount of the substance which is left undecayed after

(a) Differentiate between half-life and average life of a radioactive substance.

(b) A radioactive substance decays for an interval of time equal to its mean life. Find the fraction of the amount of the substance which is left undecayed after this time interval.

 

 
 
 
 
 

Answers (1)

Half-life is the time taken for a radioactive sample, that has initially, N0 radio nuclei, to reduce to N0/2.

T_{1/2}=\frac{ln2}{\lambda}=\frac{0.693}{\lambda}

Mean \ life\ T=\frac{1}{\lambda}

N=N_0e^{-\lambda t}

\\At\ t=T=\frac{1}{\lambda}\\\\N=N_0e^{-\lambda \times\frac{1}{\lambda}}\\\\\frac{N}{N_0}=\frac{1}{e}

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Safeer PP

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