Two radioactive nuclides A and B have half-lives 50 min and 10 min respectively. A fresh sample contains the nuclide of B to be eight times that of A. How much time should elapse so that the number of nuclides of A becomes double of B?
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a
30
b
40
c
50
d
100
answer is C.
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Detailed Solution
Given n0B=8×n0A(n)A=2×(n)BKA−KB=2.303tlogNA0NA×NBNB0;t=ln1160.69350−0.69310=50min