Assuming 1 μg of trace radioactive element X with a half life of 30 years is absorbed by a growing tree. The amount of X remaining in the tree after 100 years is_____ × 10 - 1 μg . [Given : ln 10 = 2

Question

Assuming 1 μg of trace radioactive element X with a half life of 30 years is absorbed by a growing tree. The amount of X remaining in the tree after 100 years is_____ × 10 - 1 μg . [Given : ln 10 = 2 . 303 ; log 2 = 0 . 30 ]

TestHub · Accepted Answer

λt = ln a a - x we know that half life time t 1 / 2 = ln 2 λ So, λ = ln 2 t 1 / 2 100 = 30 ln 2 ln 1 w 100 = 30 log 2 log 1 w 100 = 30 0 . 30 log 1 w log 1 w = 1 1 w = 10 W = 0 . 1 μg = 1 × 10 - 1 μg

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