A) X and Y have the same decay rate initially
B) X and Y decay at the same rate always
C) Y will decay at a faster rate than X
D) X will decay at a faster rate than Y
Correct Answer: C
Solution :
\[\frac{0.693}{{{\lambda }_{X}}}=\frac{1}{{{\lambda }_{Y}}}\]or \[{{\lambda }_{Y}}>{{\lambda }_{X}}\] Activity \[=A=\lambda N\Rightarrow A\propto \lambda \Rightarrow {{A}_{y}}>{{A}_{x}}\] As activity of Y is greater so, Y will decay faster than X. Hence, the correction option is (c).
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