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In a sample initially there are equal number of atoms of two radioactive isotopes A and B. 3 days later the number of atoms of A is twice that of B. Half life of B is `1.5` days. What is half life of isotope A? (in days) |
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Answer» Correct Answer - `0003` `A B t=0 N_(0) N_(0)` `t_(0)=3 days 2N N` `2N=N_(0)(0.5)t_(0)//tau_(1)` `N=N_(0)(0.5) t_(0)//tau_(2)` `2=(0.5) t_(0)(1/tau_(1)-1/tau_(2))` `Rightarrow 0.5^(-1)=(0.5)(3/tau_(1)-2)` `Rightarrow -1=3/tau_(1)-2 :.tau_(1)=3` days |
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