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Nucleus
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Nucleus
(2) A small Quantity of solution containing Na-24 radioactive nuclei

t1/2 = 15h of activity 1.0 ci is injected into the blood of a person. A sample of blood of volume 1cm3 taken after 5th, throws an activiy of 296 d/ min.

Determine the total voume of blood in the body of person

Let volume of blood be V

activity of 1 cm3 initially =

activity after 5 hrs = A1 = = 4.93 dps






(3) Polinum is used forgeneration of electricity, assuming the efficiency of the electricity, assuming the efficiency of the electric machine to be 10% how much P0 is required 693 days. Also find the intial activity of material.

(mass of nucleii P0 - 210 = 209.98264 u Ph - 206 = 205.97440 u 2He4 = 4.00260 u)

mass defect = (209.98264) - (205.97440 + 4.00260) = 000564u = 5.64 x 10-3 x 931Mev = 8.34 x 10-3J.

No. of fissions required for 1.2 x 107J = = 1.43 x 1019

Since efficiency of machine is 10%

Actually no. of fissions occuring = 1.43 x 1019 x 10 = 1.43 x 1020

mass of polinium required = x 210 = 0.0485g

at the end of 693days 0.0483g of P0 must be present

693 days = 138.6 x 5 = 5 x t1/2

intial mass of polinium = 0.0483 x 25 = 0.0483 x 32 = 1.5456g

intial activity =...N0=.....X 1.43 x 1020 x 32

= 2.2 x 1019/day
Hard:
1. Nuclei of a radio active element A are being produced at a constant rate . The element has a decay constant . At time t = 0, there are N0 nuclei of the element.

(a) Calculate the number No of Nuclei of A at time t.

(b) If after half life of a , and also the limiting value of Nas t

Solution:- Rate of production =

rate of decay = [n]

integrating





(Ans to (a) part)



at t =



limiting value i.e. as t

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