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Question: Samples of two radioactive nuclides A and B are taken \(\lambda_{A}\) and \(\lambda_{B}\) are the di...

Samples of two radioactive nuclides A and B are taken λA\lambda_{A} and λB\lambda_{B} are the disintegration constants of A and B respectively in which of the following cases, the two samples can simultaneously have the same decay rate at any time?

A

Initial rate of decay of A is twice the initial rate of decay of B and λA=λB\lambda_{A} = \lambda_{B}

B

Initial rate of decay of A is twice the initial rate of decay of B and λA>λB\lambda_{A} > \lambda_{B}

C

Initial rate ofj decay of B is twice the initial rate of decay if A and λA>λB\lambda_{A} > \lambda_{B}

D

Initial rate of decay of B is twice the initial rate of decay of A at = 2h and λB=λA\lambda_{B} = \lambda_{A}

Answer

Initial rate of decay of A is twice the initial rate of decay of B and λA>λB\lambda_{A} > \lambda_{B}

Explanation

Solution

: Initial rate of decay of A is twice the initial rate of decay of B and λA>λB\lambda_{A} > \lambda_{B}