Physics - Modern Physics Question with Solution | TestHub

Let${\lambda }_X$and${\lambda }_Y$be the decay constants of the radioactive elements$X$and$Y$respectively.

Here, half - life period of element$X$= mean life time of element Y

$\therefore$$\frac{0.693}{{\lambda }_X}=\frac{1}{{\lambda }_Y}$or${\lambda }_X=0.693 {\lambda }_Y$

or${\lambda }_Y>{\lambda }_X$

Therefore, the element Y will decay faster.