InterviewSolution
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InterviewSolution
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Two radioactive nuclides A and B have half-lives 50 min and 10 min respectively . A fresh sample contains the nuclides of B to be eight times that of A. How much time should elapse so that the mumber of nuclides of A becomes double of B ?A. 30B. 40C. 50D. None |
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Answer» Correct Answer - C Initial no. of nuclei`{:(Aoverset(t_(1//2)=50 min)rarrX,,B overset(t_(1//2)=10 min)rarrX),(N_(0),,8N_(0)),(,,),(,,):}` Let after n `t_(1//2)` of A, no. of nuclei of A becomes double of B. `N_(A)=(N_(0))/(2^(n)) " " N_(B)=(8N_(0))/(2 ^(5n)) " " ( . :. "in" n t _(1//2) of A, t_(1//2) of B " will " 5n)` `N_(A)=2 N_(B)` `(N_(0))/(2^(n))=2 xx (8N_(0))/(2^(5n))` `2^(4n)=16 = 2^(4) rArr n=1` After one half life time of A (i.e. 50 min) No. of nuclei of A will become double of B. |
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