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When radioactive equilibrium is attained, the relative amounts of parent to daughter :

  • A.Increase with time
  • B.Decrease with time
  • C.Is constant irrespective of time
  • D.May increase or decrease with time depending on the parent isotope

Answer: C

At radioactive equilibrium the relative amounts are constant irrespective of time.

Equilibrium (secular or transient) is reached when the daughter is being formed and decaying at rates linked to the parent's decay, so the ratio of daughter to parent atoms settles to a constant value. In secular equilibrium the activities are equal; in transient equilibrium the ratio is fixed by the two decay constants.

Before equilibrium the ratio does change, which is the trap in options A, B and D, but once equilibrium is attained it is fixed.

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