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?
A80 years
B12.5 years
C15.0 years
D10.0 years
Answer: B
Concentration falls 64→32→16→8→4→2, which is 5 half-lives since 64/25=2. Time =5×2.5=12.5 years. A linear calculation giving 80 years is wrong.