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Q.

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 same number of atoms. Then,

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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.

answer is C.

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Detailed Solution

0.693λX=1λY⇒λY>λXSince, −dNdtX=λXNAnd −dNdtY=λYN⇒−dNdtY>−dNdtXDecay rate of Y > Decay rate of X.
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