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JEE Main20241 Feb 2024Morning ShiftChemistryChemical KineticsActual

The ratio of C 14 C 12 in a piece of wood is 1 8 part that of atmosphere. If half life of C 14 is 5730 years, the age of wood sample is ..... years.

Correct answer

17190

Step-by-step solution

Given half life of C 14 = 5730 years. λt = ln C 14 / C 12 atmosphere C 14 / C 12 wood sample As per the question, C 14 / C 12 wood C 14 / C 12 atmosphere = 1 8 So, λt = ln 8 ln 2 t 1 / 2 t = ln 8 t = 3 × t 1 / 2 = 3 × 5730 = 17190 years

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