(A) The correct option is $A$. For a first-order reaction,the half-life period is given by the formula $t_{1/2} = \frac{\ln(2)}{k} = \frac{0.693}{k}$.

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Half-life period $= \text{constant} / k$,where $k$ is the decay constant

(A) The correct option is $A$. For a first-order reaction,the half-life period is given by the formula $t_{1/2} = \frac{\ln(2)}{k} = \frac{0.693}{k}$. Thus,$t_{1/2} = \text{constant} \times k^{-1}$.

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

Medium

The decay of a radioactive element follows first-order kinetics. As a result:

A
Half-life period $= \text{constant} / k$,where $k$ is the decay constant
B
Rate of decay is independent of temperature
C
Rate can be changed by changing chemical conditions
D
The element will be completely transformed into a new element after the expiry of two half-life periods

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Rate of decay and Half-life

The half-life of $_{38}^{90}Sr$ is $20 \text{ years}$. If a sample having an initial activity of $8000 \text{ dis/min}$ is taken,what would be its activity after $80 \text{ years}$?

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Radioactive lead $_{82}Pb^{201}$ has a half-life of $8 \ hours$. Starting from $1 \ mg$ of this isotope,how much will remain after $24 \ hours$?

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$8 \, g$ of the radioactive isotope,cesium$-137$ were collected on February $1$ and kept in a sealed tube. On July $1$,it was found that only $0.25 \, g$ of it remained. So the half-life period of the isotope is ....... $days$.

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$A$ sample is obtained from sea water. $11.9$ $C^{14}$ atoms dissociate from $1 \ g$ of carbon. $15.3$ $C^{14}$ atoms dissociate from a live sample. How many years old is the sample? $(t_{1/2} = 5730 \ \text{years})$

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$10 \ g$ of a radioactive substance is reduced to $1.25 \ g$ after $15 \ days$. Its $1 \ kg$ mass will reduce to $500 \ g$ in how many days?

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The decay of a radioactive element follows first-order kinetics. As a result:

Similar Questions

The half-life of $_{38}^{90}Sr$ is $20 \text{ years}$. If a sample having an initial activity of $8000 \text{ dis/min}$ is taken,what would be its activity after $80 \text{ years}$?

Radioactive lead $_{82}Pb^{201}$ has a half-life of $8 \ hours$. Starting from $1 \ mg$ of this isotope,how much will remain after $24 \ hours$?

$8 \, g$ of the radioactive isotope,cesium$-137$ were collected on February $1$ and kept in a sealed tube. On July $1$,it was found that only $0.25 \, g$ of it remained. So the half-life period of the isotope is ....... $days$.

$A$ sample is obtained from sea water. $11.9$ $C^{14}$ atoms dissociate from $1 \ g$ of carbon. $15.3$ $C^{14}$ atoms dissociate from a live sample. How many years old is the sample? $(t_{1/2} = 5730 \ \text{years})$

$10 \ g$ of a radioactive substance is reduced to $1.25 \ g$ after $15 \ days$. Its $1 \ kg$ mass will reduce to $500 \ g$ in how many days?

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