Nuclear Physics and RadioactivityHard

Question

The half-life period of a radio-active element X is same as the mean life time of another radioactive element Y. Initially they have the same number of atoms. Then

Options

A.X will decay faster than Y
B.Y will decay faster than X
C.X and Y have same decay rate initially
D.X and Y decay at same rate always.

Solution

t1/2 =
tmean = = - λN
⇒ λx = λy(0.6932) ⇒ λy > λx

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