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JIPMER2016ChemistryChemical Kinetics

At radioactive equilibrium, the ratio between two atoms of radioactive elements A and B is 3.1 10^9: 1 . If the half-life period of A is 2 10¹⁰ yrs, then the half-life of B is

Options

  1. A9.54 yrs
  2. B2.14 yrs
  3. C3.29 yrs
  4. D6.45 yrs

Correct answer

D. 6.45 yrs

Step-by-step solution

At radioactive equilibrium, A B aligned N_A N_B & = K_B K_A = t_ 1 / 2 A t_ 1 / 2 B 3.1 10^9 1 & = 2 10¹⁰ t_ 1 / 2 B and, t_ 1 / 2 B =6.45 yrs . aligned

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