The decay constant of a radioisotope is lambd | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The activity $A$ of a radioactive sample is given by $A = \lambda N$,where $N$ is the number of undecayed nuclei present at that time.At time $t_1

Vedclass · Accepted Answer

$(A_1 - A_2) / \lambda$

Vedclass · Answer

(C) The activity $A$ of a radioactive sample is given by $A = \lambda N$,where $N$ is the number of undecayed nuclei present at that time.At time $t_1$,the activity is $A_1 = \lambda N_1$,which implies $N_1 = A_1 / \lambda$.At time $t_2$,the activity is $A_2 = \lambda N_2$,which implies $N_2 = A_2 / \lambda$.The number of nuclei that have decayed during the time interval $(t_1 - t_2)$ is the difference between the number of nuclei present at time $t_1$ and time $t_2$.Number of decayed nuclei $= N_1 - N_2 = \frac{A_1}{\lambda} - \frac{A_2}{\lambda} = \frac{A_1 - A_2}{\lambda}$.

The decay constant of a radioisotope is $\lambda$. If $A_1$ and $A_2$ are its activities at times $t_1$ and $t_2$ respectively,what is the number of nuclei that have decayed during the time interval $(t_1 - t_2)$?

Similar Questions

The activity of a radioactive sample is $64 \times 10^{-5} \text{ Ci}$. Its half-life is $3 \text{ days}$. The activity will become $5 \times 10^{-6} \text{ Ci}$ after how many days?

The half-life of $Ra^{226}$ is $1620$ years. Calculate the number of atoms that decay in one second in $1 \ g$ of radium (Avogadro number $= 6.023 \times 10^{23}$).

$C^{14}$ has a half-life of $5700$ years. At the end of $11400$ years,the actual amount left is:

Half-life of a radioactive substance is $20 \ min$. The difference between the points of time when it is $33\%$ disintegrated and $67\%$ disintegrated is approximately ........... $min$.

In a sample of $^{66}Cu$,$7/8$ of the initial number of nuclei decay into $Zn$ in $15 \ min$. The half-life of the sample is ......... $min$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module