Question
  1. Define ‘activity’ of a radioactive substance.
  2. Two different radioactive elements with half lives T1 and T2 have N1 and N2 undecayed atoms respectively present at a given instant. Derive an expression for the ratio of their activities at this instant in terms of N1 and N2.

Answer

  1. Number of radioactive nuclei decaying per second at any time.
  2. $R_1=\lambda_1N_1=\frac{0.693}{T_1}N_1$

$R_2=\lambda_2N_2=\frac{0.693}{T_2}N_2$

$\frac{R_1}{R_2}=\frac{N_1}{N_2}\times\frac{T_2}{T_1}$

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