(C) The number of half-lives $n$ is calculated as $n = \frac{\text{Total time}}{\text{Half-life}} = \frac{3000 \ years}{1500 \ years} = 2$. The amount

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(C) The number of half-lives $n$ is calculated as $n = \frac{\text{Total time}}{\text{Half-life}} = \frac{3000 \ years}{1500 \ years} = 2$. The amount of radioactive substance remaining after $n$ half-lives is given by the formula $N = N_0 \times (\frac{1}{2})^n$. Given $N_0 = 1 \ g$ and $n = 2$,the amount remaining is $N = 1 \times (\frac{1}{2})^2 = \frac{1}{4} = 0.25 \ g$.

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

Medium

$A$ radioactive sample has a half-life of $1500 \ years$. $A$ sealed tube containing $1 \ g$ of the sample will contain after $3000 \ years$:

A
$1 \ g$ of the sample
B
$0.5 \ g$ of the sample
C
$0.25 \ g$ of the sample
D
$0.00 \ g$ of the sample

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Nuclear Chemistry

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Rate of decay and Half-life

For $Ra^{226}$,the $t_{1/2}$ is $1620 \ years$. From $0.001 \ g$ of $Ra$,how many $\alpha$-particles are released per $min$?

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$_{11}Na^{24}$ has a half-life of $15 \ h$. On heating,its half-life will:

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The half-life period of $Pb^{210}$ is $22 \ years$. If $2 \ g$ of $Pb^{210}$ is taken,then after $11 \ years$ how much of $Pb^{210}$ will be left in $g$?

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$1.0 \ g$ of radioactive sodium decays to $0.25 \ g$ in $16 \ hours$. Calculate the time required for $48 \ g$ of the same radioactive sodium to decay to $3.0 \ g$. (in $hours$)

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$A$ radioactive sample has a half-life of $1500 \ years$. $A$ sealed tube containing $1 \ g$ of the sample will contain after $3000 \ years$:

Similar Questions

For $Ra^{226}$,the $t_{1/2}$ is $1620 \ years$. From $0.001 \ g$ of $Ra$,how many $\alpha$-particles are released per $min$?

An element has a half-life of $1600 \ years$. The fraction of the mass left after $6400 \ years$ will be:

$_{11}Na^{24}$ has a half-life of $15 \ h$. On heating,its half-life will:

The half-life period of $Pb^{210}$ is $22 \ years$. If $2 \ g$ of $Pb^{210}$ is taken,then after $11 \ years$ how much of $Pb^{210}$ will be left in $g$?

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