and
are the disintegration constants
of A and B respectively. In which of the following cases, the two samples can
simultaeously 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 =
(b)
Initial rate of decay of A is twice the initial
rate
of decay of B and 
(c)
Initial rate of decay of B is twice the initial
rate
of decay of A and
(d)
Initial rate of decay of 5 is same as the rate of decay of A at t =2h and
Answer:
(b,d)The two
samples of two radioactive nuclides A and B can simultaneously have the same
decay rate at any time if initial rate of decay of A is twice the initial rate
of decay of B and
^ > Also, when
initial rate of decay of B is same as rate of decay of A at t=2h and 
. The choice (b) and (d) are
correct .
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