(B) Total time from $1^{st}$ Jan to $1^{st}$ March $2009$ (including both days) $= 31 \text{ (Jan)} + 28 \text{ (Feb)} + 1 \text{ (March)} = 60 \text{

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(B) Total time from $1^{st}$ Jan to $1^{st}$ March $2009$ (including both days) $= 31 \text{ (Jan)} + 28 \text{ (Feb)} + 1 \text{ (March)} = 60 \text{ days}$.Number of half-lives $(n)$ $= \frac{\text{Total time}}{\text{Half-life}} = \frac{60}{15} = 4$.Amount left $(N)$ $= N_0 \times (\frac{1}{2})^n = 2 \times (\frac{1}{2})^4 = \frac{2}{16} = 0.125 \text{ g}$.

Class 12 Chemistry Nuclear Chemistry Rate of decay and Half-life

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$2 \text{ g}$ of a radioactive sample having a half-life of $15$ days was synthesized on $1^{st}$ Jan $2009$. The amount of the sample left behind on $1^{st}$ March $2009$ (including both the days) is: (in $\text{ g}$)

KCET 2009 All KCET

A
$0$
B
$0.125$
C
$1$
D
$0.5$

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Rate of decay and Half-life

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$2 \text{ g}$ of a radioactive sample having a half-life of $15$ days was synthesized on $1^{st}$ Jan $2009$. The amount of the sample left behind on $1^{st}$ March $2009$ (including both the days) is: (in $\text{ g}$)

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