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 substance is $R_1$ at time $t_1$ and $R_2$ at a later time $t_2$. Its decay constant is $\lambda$. Which of the following relations is correct?

$A$ radioactive material whose half-life period is $2$ years weighs $1 \,g$ and is stored in the laboratory for $4$ years. Then the amount of remaining radioactive material is (in $\,g$)

Two radioactive samples $A_1$ and $A_2$ have decay constants $10\lambda_0$ and $\lambda_0$ respectively. If they initially contain the same number of nuclei,find the ratio of the number of undecayed nuclei after time $t = 1/(9\lambda_0)$.

$A$ radioactive material of half-life $2.5$ hours emits radiation that is $32$ times the safe maximum level. The time (in hours) after which the material can be handled safely is

The half-life of radium is about $1600$ years. Of $100 \, g$ of radium existing now, $25 \, g$ will remain unchanged after .......... $years$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module