Q.
The half life period of a radioactive element X is the same as the mean life time of another radioactive element Y. Initially both of them have the same number of atoms. Then,
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a
X and Y have the same initial decay rate.
b
X and Y decay at the same rate always.
c
Initially, Y will decay at larger rate than X.
d
Initially, X will decay at larger rate than Y
answer is C.
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Detailed Solution
T1/2,half life of X=Tmean , mean life of Yln2λx=1λYλxλy=ln2<1 So, λx<λyDecay rate= λN∴Initially Y will decay at longer rate than X.Therefore, the correct answer is (C).
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