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The relation between half-life T of a radioactive sample and its mean life τ is:

 

  • Option 1)

     T = 0.693 τ

     

  • Option 2)

    τ = 0.693 T

  • Option 3)

     τ = T

     

  • Option 4)

    τ = 2.718 T

     

 

Answers (1)

best_answer

 

Average life -

T_{av}= \frac{1}{\lambda }

- wherein

It is defined as time in which number of nuclei reduces to \left ( \frac{1}{e} \right )part of initial number of nuclei

 

 

Half Life Time -

t_{1/2}=\frac{ln 2}{\lambda}=\frac{0.693}{\lambda}

- wherein

Half life is time in which number of nuclei reduced to half of initial number of nuclei.

 

 Half life T = \frac{D.693}{\lambda }

Average life (mean life) I = \frac{1}{\lambda }

 

 

 


Option 1)

 T = 0.693 τ

 

Incorrect option

 

Option 2)

τ = 0.693 T

Incorrect option

Option 3)

 τ = T

 

correct option

Option 4)

τ = 2.718 T

 

Incorrect option

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