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The variation of decay rate of two radioactive samples. A and B with time is shown in figure.

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Decay constant of A is greater than that of B, hence, A always decays faster than B

Decay constant of B is greater than that of A but its decay rate is always smaller than that of A

Decays constant of A is greater than that of B but it does not always decay faster than B

Decay constant of B is smaller than that of A but still its decay rate becomes equal to that of A at a later instant

answer is C, D.

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Detailed Solution

$F r o m t h e g r a p h s i t i s e v i d e n t t h a t λ_{A} > λ_{B} W h e n d e c a y r a t e s o f t h e s a m p l e s a r e e q u a l, {(N_{A})}_{0} e^{- λ_{A} t} = {(N_{B})}_{0} e^{- λ_{B} t} .$

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