# Samples of two radioactive nuclides A and B are taken. λA and λB are the disintegration constants of A and B respectively.

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Samples of two radioactive nuclides A and B are taken. λA and λB 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

(b) Initial rate of decay of A is twice the initial rate of decay of B and λA > λB

(c) Initial rate of decay of B is twice the initial rate of decay of A and λA > λB

(d) Initial rate of decay of B is same as the rate of decay of A at t = 2h and λB < λA.

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(b), (d)

(b) Initial rate of decay of A is twice the initial rate of decay of B and λA > λB

(c) Initial rate of decay of B is twice the initial rate of decay of A and λA > λB