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The half life of a radioactive substance is 10 days. What weight of it is left undecayed in 5 days, if 2 grams of it is taken initially ?

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2.82 g

4.14 g

1.75 g

1.414 g

answer is D.

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Detailed Solution

$\frac{I n i t i a l a m o u n t}{2^{n}}$

n = number of half life periods = $\frac{5}{10} = \frac{1}{2}$

Amount left = $\frac{2}{2^{1 / 2}} = \frac{2}{\sqrt{2}}$ = 1.414grams

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