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Questions  

Half life of a radioactive element is T. Then what fraction of initial number of active nuclei will decay in the time interval t = T to t = 2T?

a
1/2
b
1/4
c
1/8
d
1/6

detailed solution

Correct option is B

If N0 be the initial number of active nuclei of the radio active sample, then N1=N02TT=N02and N2=N022TT=N04∴ Required fraction =N1−N2N0=N02−N04N0=14

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