Home Physics Atomic and Nuclear Physics Nucleus, Nuclear Reaction The half-life period of a radioactive elemen…
Physics Atomic and Nuclear Physics Nucleus, Nuclear Reaction MCQ (Single Correct)

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

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

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Verified by Experts
The correct answer is:
C

Let and be the decay constants of the radioactive elements and respectively.
Here, half - life period of element mean life time of element Y
or
or
Therefore, the element Y will decay faster.

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