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Alpha Decay

During mean l...

Question

During mean life of a radioactive element, the fraction that disintegrates is

1 - \frac{1}{e}

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\frac{e - 1}{e}

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\frac{1}{e}

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\frac{e}{e - 1}

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Solution

The correct option is A $1 - \frac{1}{e}$
Initial number of numbers=N
Mean life= $\frac{1}{λ}$
After mean life= $N e^{- λ t}$
$N e^{- 1} = \frac{N}{e}$
Fraction left $N - \frac{N}{e} = N (1 - \frac{1}{e})$

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