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Q.

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. 

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a

4 hr

b

12 hr

c

6 hr

d

3 hr

answer is C.

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Detailed Solution

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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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.