First slide

Radio activity

Question

Half - life period of a Radioactive element X is same as the mean - life time of another radio active element Y. If initially both have same number of atoms then

Easy

A

X decay faster than Y
B

Y decay faster than X
C

X and Y decay at same rate
D

Initial decay rate of X and Y are same

Solution

$\begin{array}{l} {(T_{1 / 2})}_{X} = {(T_{m e a n})}_{Y} \\ \frac{0.693}{λ_{x}} = \frac{1}{λ_{y}} \\ λ_{x} = 0.693 λ_{y} \\ λ_{y} > λ_{x} \end{array}$
So Y decay faster

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