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Q.

Consider a hypothetical case of a radio nuclide “A” which produce a daughter “B” which decay’s to a stable product C. The half life of B is 4 times that of “A”. Take initial population of both ‘B’ and ‘C’ to be zero. The ratio of population of “B” to that of “A” at the instant the population of B becomes maximum is

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a

5:1

b

1:5

c

1:4

d

4:1

answer is D.

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Detailed Solution

Given :TB=4TA ⇒ λB=λA4 When population of “B” is maximum , dNBdt=0 ⇒λANA=λBNB ⇒NBNA=λAλB=4
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