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Samples of two radioactive nuclides A and B are taken. $\lambda_A$ and $\lambda_B$ 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 $\lambda_A=\lambda_B$(b) Initial rate of decay of A is twice the initial rate of decay of B and $\lambda _A>\lambda_B$(c) Initial rate of decay of B is twice the initial rate of decay of A and $\lambda_A>\lambda_B$(d) Initial rate of decay of B is the same as the rate of decay of A at $t = 2h$ and $\lambda_B
Samples of two radioactive nuclides A and B are taken. $\lambda_A$ and $\lambda_B$ 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 $\lambda_A=\lambda_B$
(b) Initial rate of decay of A is twice the initial rate of decay of B and $\lambda _A>\lambda_B$
(c) Initial rate of decay of B is twice the initial rate of decay of A and $\lambda_A>\lambda_B$
(d) Initial rate of decay of B is the same as the rate of decay of A at $t = 2h$ and $\lambda_B<\lambda_A$
CBSE | Class 12 | NCERT Exemplar | Nuclei | Physics
Samples of two radioactive nuclides A and B are taken. $\lambda_A$ and $\lambda_B$ 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 $\lambda_A=\lambda_B$
(b) Initial rate of decay of A is twice the initial rate of decay of B and $\lambda _A>\lambda_B$
(c) Initial rate of decay of B is twice the initial rate of decay of A and $\lambda_A>\lambda_B$
(d) Initial rate of decay of B is the same as the rate of decay of A at $t = 2h$ and $\lambda_B<\lambda_A$

The correct options are:

(b) Initial rate of decay of A is twice the initial rate of decay of B and $\lambda _A>\lambda_B$

(d) Initial rate of decay of B is the same as the rate of decay of A at $t = 2h$ and $\lambda_B<\lambda_A$

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