(D) The number of half-lives $(n)$ is calculated as $n = \frac{\text{Total time}}{\text{Half-life}} = \frac{12}{3} = 4$.The relationship between the i

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(D) The number of half-lives $(n)$ is calculated as $n = \frac{\text{Total time}}{\text{Half-life}} = \frac{12}{3} = 4$.The relationship between the initial amount $(N_0)$ and the remaining amount $(N)$ is given by $N = N_0 \times (\frac{1}{2})^n$.Rearranging for $N_0$,we get $N_0 = N \times 2^n$.Substituting the given values,$N_0 = 3 \times 2^4 = 3 \times 16 = 48 \ g$.

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

Difficult

$A$ radioactive isotope having a half-life of $3 \ days$ was received after $12 \ days$. It was found that there were $3 \ g$ of the isotope in the container. The initial weight of the isotope when packed was ......... $g$.

A
$12$
B
$24$
C
$36$
D
$48$

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Class 12

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Nuclear Chemistry

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Rate of decay and Half-life

The order of a radioactive disintegration reaction is:

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The half-life of a radioactive isotope is $3 \ hr$. The value of its disintegration constant is: (in $hr^{-1}$)

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For a radioactive substance with a half-life period of $500$ years,the time required for the complete decay of $100 \ mg$ of it would be:

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$A$ certain nuclide has a half-life period of $30 \ minutes$. If a sample containing $600$ atoms is allowed to decay for $90 \ minutes$,how many atoms will remain?

Medium

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The half-life period of radioactive decay of ${}^{14}C$ is $5730 \ years$. An archaeological artifact contains $80\%$ of ${}^{14}C$ as compared to a living tree. Calculate the age of the sample in $years$.

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$A$ radioactive isotope having a half-life of $3 \ days$ was received after $12 \ days$. It was found that there were $3 \ g$ of the isotope in the container. The initial weight of the isotope when packed was ......... $g$.

Similar Questions

The order of a radioactive disintegration reaction is:

The half-life of a radioactive isotope is $3 \ hr$. The value of its disintegration constant is: (in $hr^{-1}$)

For a radioactive substance with a half-life period of $500$ years,the time required for the complete decay of $100 \ mg$ of it would be:

$A$ certain nuclide has a half-life period of $30 \ minutes$. If a sample containing $600$ atoms is allowed to decay for $90 \ minutes$,how many atoms will remain?

The half-life period of radioactive decay of ${}^{14}C$ is $5730 \ years$. An archaeological artifact contains $80\%$ of ${}^{14}C$ as compared to a living tree. Calculate the age of the sample in $years$.

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