Question 661: Atoms & Nuclei

Question

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,

Accepted Answer

According to question.
$$\begin{aligned}
& \left(t_{1 / 2}ight)_x=\left(t_{	ext {mean }}ight)_y \
& 	ext { or } \quad \frac{0.693}{\lambda_x}=\frac{1}{\lambda_y} \
& 	herefore \quad \lambda_x=0.693 \lambda_y \Rightarrow \lambda_x\lambda_x$$, therefore $$y$$ will decay at a faster rate than $$x$$.

Answer

$$x$$ and $$y$$ have the same decay rate initially

Answer

$$x$$ and $$y$$ decay at the same rate always

Answer

$$y$$ will decay at a faster rate than $$x$$

Answer

$$x$$ will decay at a faster rate than $$y$$

Atoms & Nuclei

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,

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