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Two samples X and Y contain equal amounts of radioactive substances. If `1/16 th` of a sample X and `1/256 th` of sample Y remain after 8h, then the ratio of half periods of X and Y isA. `2:1`B. `1:2`C. `1:4`D. `1:16` |
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Answer» Correct Answer - A Here, `t=8h, T_(1)//T_(2)=?` `(A_(1))/(A_(0))=(N_(1))/(N_(0))=(1/2)^(n_(1))=1/16=(1/2)^(4) :. n_(1)=4` `(A_(2))/(A_(0))=(N_(2))/(N_(0))=(1/2)^(n_(2))=1/256=(1/2)^(8) :. n_(2)=8` `(T_(1))/(T_(2)) =(t//n_(1))/(t//n_(2))=(n_(2))/(n_(1))=8/4=2:1` |
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