If λ is decay constant and N the number of radioactive nuclei of an element, then the decay rate (R) of that element is

Question

If λ is decay constant and N the number of radioactive nuclei of an element, then the decay rate (R) of that element is (A)  λ N2 (B)  λ N  (C)  (λ /N)  (D) λ2N

Tardigrade Admin · Accepted Answer

At any instant the rate of decay of radioactive atoms is proportional to the number of atoms present at that instant ie, -(d N/d t) propto N or -(d N/d t)=R=λ N where λ is decay constant,

Q. If $λ$ is decay constant and $N$ the number of radioactive nuclei of an element, then the decay rate $(R)$ of that element is

$λ N^{2}$

$λ N$

$\frac{λ}{N}$

$λ^{2} N$

At any instant the rate of decay of radioactive atoms is proportional to the number of atoms present at that instant ie,
$- \frac{d N}{d t} \propto N$
or $- \frac{d N}{d t} = R = λ N$
where $λ$ is decay constant,

Q. If λ is decay constant and N the number of radioactive nuclei of an element, then the decay rate (R) of that element is

λN2

λN

Nλ​

λ2N