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Questions  

Ratio of initial number of active nuclei of two radio active elements x and y is 8 :1. If half life of x is 1 hour and that of y is 2 hour, find the time after which the number of active nuclei of x and y will be the same. 

a
4 hr
b
12 hr
c
6 hr
d
3 hr

detailed solution

Correct option is C

N=(N0)x(2)tT=(N0)y(2)t2T⇒(N0)x(N0)y=(2)tT(2)t2T⇒8=(2)t2T⇒t2T=3⇒t=6T=6×1 hr

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