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Uranium ._(92)^(238)U is an ustable nucleus. It decays to Thorium ._(92)^(238)Th, which is again an unstable nucleus which further decays to ._(91)^(234)Pa. Let ._(92)^(238)U be called A of decay constant lambda_(1) and ._(90)^(234)Th is called as B of decay constant lambda_(2) and stable nuclei ._(91)^(234)Pa be called as C. Here A is called parent nucleus and B is called daughter nucleus of A. Any two adjacent nuclei may be consider parent or daughter nuclei A, B and C respectively at time 't'. Then we can write Aoverset(lambda_(1))rarrBoverset(lambda_(2))rarrC Rate of disintergration of A=(dN_(1))/(dt)=lambda_(1)N_(1) Rate of disintergration of B=(dN_(2))/(dt)=lambda_(1)N_(1)-lambda_(2)N_(2) Rate of formation of nuclei C is equal to (dN_(3))/(dt)=lambda_(2)N_(2) If at t=0, there are N_(0) number of nuclei of A where as nuclei B and C are absent in the sample Answer the following questions The graph N_(1), N_(2) and N_(3) with time can be best represent by

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SOLUTION :SUCCESSIVE DISINTEGRATION


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