There are two radionuclei A and B. A is an al | vedclass

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

Question

(A) The probability of getting $\alpha$ and $\beta$ particles is directly proportional to the rate of decay of the respective nuclei.The rate of decay

Vedclass · Accepted Answer

$2 : 1$

Vedclass · Answer

(A) The probability of getting $\alpha$ and $\beta$ particles is directly proportional to the rate of decay of the respective nuclei.The rate of decay is given by $\frac{dN}{dt} = \lambda N$.For the probabilities to be equal at $t = 0$,the rates of decay must be equal:$\lambda_A N_A = \lambda_B N_B$Rearranging the terms to find the ratio of the number of atoms:$\frac{N_A}{N_B} = \frac{\lambda_B}{\lambda_A}$Given that the ratio of disintegration constants is $\frac{\lambda_A}{\lambda_B} = \frac{1}{2}$,we have $\frac{\lambda_B}{\lambda_A} = \frac{2}{1}$.Therefore,$\frac{N_A}{N_B} = \frac{2}{1}$.

Similar Questions

$A$ fresh radioactive sample is given at $t = 0$. Its decay fraction is $\frac{1}{5}$ at $t_1$ instant and $\frac{4}{5}$ at $t_2$ instant. Its mean life is

The nuclide $^{133}I$ is radioactive,with a half-life of $8.04 \, days$. At noon on $January \, 1$,the activity of a certain sample is $600 \, Bq$. The activity at noon on $January \, 24$ will be

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

The half-life of a radioactive substance is $12 \text{ minutes}$. The time gap between $28 \%$ decay and $82 \%$ decay of the radioactive substance is

The half-life of a radioactive element is $10 \, days$. The time required for the mass of the sample to reduce to $\frac{1}{10}$ of its initial mass is approximately ........ days.

Vedclass Test Series

Exam Paper Generator

Online Exam Module