A) X will decay faster than Y
B) Y will decay faster than X
C) Y and X have same decay rate initially
D) X and Y decay at same rate always
Correct Answer: B
Solution :
The half-life for element X \[(0,\pi /2)\] where,\[(-\pi /2,\pi /2)\]is mean life of element Y. \[A=\left[ \begin{matrix} 5 & 5\alpha & \alpha \\ 0 & \alpha & 5\alpha \\ 0 & 0 & 5 \\ \end{matrix} \right]\]\[|{{A}^{2}}|=25,\] \[{{5}^{2}}\] \[{{\lambda }_{Y}}>{{\lambda }_{X}}\] So, Y will decay faster than X. (\[\frac{1}{2!}-\frac{1}{3!}+\frac{1}{4!}-....\]is decay constant)
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