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  • The half -life period of a radioactive element x is same as the mean life time of another radioactive element y. Initially both of them have the same number of atoms, Then -  <div c

The half -life period of a radioactive element x is same as the mean life time of another radioactive element y. Initially both of them have the same number of atoms, Then -
 

Option: 1

x and y have the same decay rate init ally.
 


Option: 2

 x and y decay at the same rate always
 


Option: 3

 y will decay at a faster rate thaw x
 


Option: 4

x will decay at a faster rate than y.


Answers (1)

best_answer

\mathrm{\left(t_{1 / 2}\right) x=\left(t_{\text {mean }}\right) y}\\ \\ \begin{aligned} &\text{or}~~ \mathrm{ \frac{0.693}{\partial x}=\frac{1}{\partial y}, \quad \therefore \lambda y=\lambda x} \\ & \mathrm{\lambda x=0.693 \lambda y} \\ & \text { Rate decay }=\lambda \mathrm{N} \end{aligned}

Initally number of atoms (N) of both are equal but since \mathrm{\lambda y>\lambda_x,} therefore, y will decay at a faster rate than x.

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Deependra Verma

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