The decay constant lambda of a radioactive sa | vedclass

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

Question

(C) The decay constant $\lambda$ is a characteristic property of a radioactive isotope.According to the law of radioactive decay,the rate of decay is

Vedclass · Accepted Answer

$\lambda$ is independent of the age.

Vedclass · Answer

(C) The decay constant $\lambda$ is a characteristic property of a radioactive isotope.According to the law of radioactive decay,the rate of decay is proportional to the number of radioactive nuclei present at that instant,given by $\frac{dN}{dt} = -\lambda N$.Here,$\lambda$ represents the probability of decay per unit time for a single nucleus.This probability is a constant value for a specific radioactive substance and does not change with time or the age of the sample.Therefore,$\lambda$ is independent of the age of the atoms.

The decay constant $\lambda$ of a radioactive sample is the probability of decay of an atom in unit time. Then,

Similar Questions

Radioactive nuclei $P$ and $Q$ disintegrate into $R$ with half-lives $1$ month and $2$ months respectively. At time $t=0$,the number of nuclei of each $P$ and $Q$ is $x$. At the time when the rates of disintegration of $P$ and $Q$ are equal,the number of nuclei of $R$ is ........ $x$.

If the half-life of a substance is $3.8\, days$ and its initial quantity is $10.38\, gm$,then the quantity of the substance remaining after $19\, days$ will be ........$gm$.

$A$ radioactive material decays by simultaneous emission of two particles with respective half-lives $1620$ years and $810$ years. The time (in years) after which one-fourth of the material remains is:

The radioactive materials $x_1$ and $x_2$ have decay constants $10 \lambda$ and $\lambda$ respectively. If initially they have the same number of nuclei,then the ratio of the number of nuclei of $x_1$ to that of $x_2$ will be $1/e$ after a time $t$ equal to:

The phenomenon of radioactivity is

Vedclass Test Series

Exam Paper Generator

Online Exam Module