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Q.

Half lives of two radioactive elements 1 and 2 are T and T/2 respectively. Initially the elements have the same number of active nuclei. Find the time after which the ratio of number of active nuclei of 1 to that of 2 will be 4 

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a

T

b

2T

c

T/2

d

4T

answer is B.

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Detailed Solution

N1=N0(2)t/Tand N2=N0(2)t/(T/2)

N1N2=4(2)2tT-tT=(2)2t=2T

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