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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 Yln⁡2λx=1λYλxλy=ln⁡2<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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