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A sample of radioactive element has a mass of 10 gm at an instant t = 0.The approximate mass of this element in the sample after two mean lives is

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3.70 gm

2.50 gm

6.30 gm

1.35 gm

answer is D.

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Detailed Solution

$M = M_{0} e^{- λt}; given t = 2 (\frac{1}{λ}) \Rightarrow M = 10 e^{- λ (\frac{2}{λ})} = 10 {(\frac{1}{e})}^{2} \Rightarrow M = 1.35 gm$

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