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JEE Advanced levelSingle correct optionDifficulty 3 of 3ev202

A field soil holds a pesticide at 64 mg per kg. Its degradation is first order with half-life 2.5 years. A safe limit of 2 mg per kg is set. After how long is the limit first reached?

  1. A80 years
  2. B12.5 years
  3. C15.0 years
  4. D10.0 years

Answer: B

Concentration falls , which is 5 half-lives since . Time years. A linear calculation giving 80 years is wrong.
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