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ExamsNEETChemistry

One microgram of radioactive sodium 24Na11 with a half-life of 15 hours was injected into a living system for a bio-assay. How long will it take for the radioactive substance to fall up to 25% of the initial value?

  1. 60 hours
  2. 22.5 hours
  3. 375 hours
  4. 30 hours

Correct answer: 30 hours

Solution

The substance falls to 25% of its initial value in two half-lives because 50% remains after one half-life, and 25% remains after the second. Since the half-life is 15 hours, the total time is 15 × 2 = 30 hours.

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