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
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