1.

The half lives of two radioactive nuclides A and B are 1 and 2 min. respectively. Equal weights of A and B are taken respectively and allowed to disintegrate for 4 min. What will be the ratio of weights of A and B disintegratedA. `1 : 1`B. `5 : 4`C. `1 : 2`D. `1 : 3`

Answer» Correct Answer - B
`{:("For A","For B"),(T = 4 min,T = 4 min),(t_(1//2) = 1min,t_(1//2) = 2 min),(N_(0) = x("say"),N_(0)= x("say")),(n = 4//1 = 4,n = 4//2 = 2),(N = (N_(0))/(2^(n)) = (x)/(2^(4)),N = (N_(0))/(2^(n)) = (x)/(2^(2))),(N = (x)/(16),N = (x)/(4)),("A disintegrated","B disintegrated"),(x - (x)/(16) = (15)/(16)x,x - (x)/(4) = (3x)/(4)),("Ratio of A B disintegrated",),((15)/(16)x : (3x)/(4) rArr 5 :4,):}`


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