A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B , which in turn d

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13.Nuclei

hard

A sample of a radioactive nucleus $A$ disintegrates to another radioactive nucleus $B$, which in turn disintegrates to some other stable nucleus $C.$ Plot of a graph showing the variation of number of atoms of nucleus $B$ vesus time is :

(Assume that at ${t}=0$, there are no ${B}$ atoms in the sample)

(JEE MAIN-2021)

Solution

${A} \longrightarrow {B} \longrightarrow {C} \text { (stable) }$

Initially no. of atoms of $B=0$ after $t=0$, no. of atoms of ${B}$ will starts increasing $\&$ reaches maximum value when rate of decay of ${B}=$ rate of formation of $B$.

After that maximum value, no. of atoms will starts decreasing as growth $\&$ decay both are exponential functions, so best possible graph is $(2)$

Standard 12

Physics

In the radioactive decay of an element it is found that the count rate reduces from 1024 to $128$ in $3$ minutes. Its half life will be …… minute

easy

The half lives of a radioactive substance are $T$ and $2T$. years for $\alpha – $ emission and $\beta – $ emission respectively. The total de cay constnnt for simultaneous decay of $\alpha$ and $\beta$ adioactive substance is ___

medium

For a radioactive material, half-life is $10$ minutes. If initially there are $600$ number of nuclei, the time taken (in minutes) for the disintegration of $450$ nuclei is

medium

(NEET-2018)

A radioactive nucleus $A$ has a single decay mode with half-life $\tau_A$. Another radioactive nucleus $B$ has two decay modes $1$ and $2$. If decay mode $2$ were absent, the half-life of $B$ would have been $\tau_A / 2$. If decay mode $1$ were absent, the half-life of $B$ would have been $3 \tau_A$. If the actual half life of $B$ is $\tau_B$, then the ratio $\tau_B / \tau_A$ is

medium

(KVPY-2012)

Radioacitive nuclei $A$ and $B$ disintegrate into $C$ with half lives $T$ and $2T$. At $t = 0$, pumber of nuclei of each $A$ and $B$ is $x$. The number of nuclei of $C$ when rate of disintegration of $A$ and $B$ are equal is

hard

Solution

Similar Questions

In the radioactive decay of an element it is found that the count rate reduces from 1024 to $128$ in $3$ minutes. Its half life will be …… minute

The half lives of a radioactive substance are $T$ and $2T$. years for $\alpha – $ emission and $\beta – $ emission respectively. The total de cay constnnt for simultaneous decay of $\alpha$ and $\beta$ adioactive substance is ___

For a radioactive material, half-life is $10$ minutes. If initially there are $600$ number of nuclei, the time taken (in minutes) for the disintegration of $450$ nuclei is

Radioacitive nuclei $A$ and $B$ disintegrate into $C$ with half lives $T$ and $2T$. At $t = 0$, pumber of nuclei of each $A$ and $B$ is $x$. The number of nuclei of $C$ when rate of disintegration of $A$ and $B$ are equal is

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