Draw a graph of the time $t$ versus the number of undecay nucleus in a radioactive sample and write its characteristics.
Draw a graph of the time $t$ versus the number of undecay nucleus in a radioactive sample and write its characteristics.
The following characteristics are available from graph :
$(1)$ The number of undecay nucleus in the radioactive sample decreases exponentially with time. In the beginning the distintegration occurs quickly and as time goes on the disintegration slowly decreases. This graph is also known as decay curve.
$(2)$ From the graph one can determine the rate of disintegration and half life.
$(3)$ If decay constant is large then the rate of disintegration is also large.
$(4)$ Regardless of the type of radioactive substance it takes the entire decay for infinite time.
Similar Questions
Decay constant of radium is $\lambda $. By a suitable process its compound radium bromide is obtained. The decay constant of radium bromide will be
Decay constant of radium is $\lambda $. By a suitable process its compound radium bromide is obtained. The decay constant of radium bromide will be
The rest mass of an electron as well as that of positron is $0.51\, MeV$. When an electron and positron are annihilate, they produce gamma-rays of wavelength(s)
The rest mass of an electron as well as that of positron is $0.51\, MeV$. When an electron and positron are annihilate, they produce gamma-rays of wavelength(s)
Define the average life of a radioactive sample and obtain its relation to decay constant and half life.
Define the average life of a radioactive sample and obtain its relation to decay constant and half life.
If a radioactive material remains $25 \%$ after $16$ days, then its half life will be ......... days
If a radioactive material remains $25 \%$ after $16$ days, then its half life will be ......... days
In a radioactive decay process, the activity is defined as $A=-\frac{\mathrm{d} N}{\mathrm{~d} t}$, where $N(t)$ is the number of radioactive nuclei at time $t$. Two radioactive sources, $S_1$ and $S_2$ have same activity at time $t=0$. At a later time, the activities of $S_1$ and $S_2$ are $A_1$ and $A_2$, respectively. When $S_1$ and $S_2$ have just completed their $3^{\text {rd }}$ and $7^{\text {th }}$ half-lives, respectively, the ratio $A_1 / A_2$ is. . . . . . .
In a radioactive decay process, the activity is defined as $A=-\frac{\mathrm{d} N}{\mathrm{~d} t}$, where $N(t)$ is the number of radioactive nuclei at time $t$. Two radioactive sources, $S_1$ and $S_2$ have same activity at time $t=0$. At a later time, the activities of $S_1$ and $S_2$ are $A_1$ and $A_2$, respectively. When $S_1$ and $S_2$ have just completed their $3^{\text {rd }}$ and $7^{\text {th }}$ half-lives, respectively, the ratio $A_1 / A_2$ is. . . . . . .
- [IIT 2023]