Samples of two radioactive nuclides A and B are taken. \( \lambda_{...

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Samples of two radioactive nuclides A and B are taken. \( \lambda_{\mathrm{A}} \) and \( \lambda_{\mathrm{B}} \) are the disintegration constants of \( A \) and \( B \) respectively. In which
\( \mathrm{P} \) of the following cases, the two samples can simultaneously have

W the same decay rate at any time?
(a) Initial rate of decay of \( A \) is twice the initial rate of decay of \( B \) and \( \lambda_{\mathrm{A}}=\lambda_{\mathrm{B}} \).
(b) Initial rate of decay of \( A \) is twice the initial rate of decay of \( B \) and \( \lambda_{\mathrm{A}}\lambda_{\mathrm{B}} \).
(c) Initial rate of decay of \( B \) is twice the initial rate of decay of \( A \) and \( \lambda_{\mathrm{A}}\lambda_{\mathrm{B}} \).
(d) Initial rate of decay of \( B \) is same as the rate of decay of \( A \) at \( t=2 \mathrm{~h} \) and \( \lambda_{\mathrm{B}}\lambda_{\mathrm{A}} \).
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