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Question

(a) Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number A.
(b) A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to 3.125%?

Solution
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A. The value of binding energy per nucleon gives a measure of the stability of that nucleus greater is the binding energy per nucleon of a nucleus , more stable is the nucleus.
The above graph shown, binding energy per nucleon drawn against mass number A.
The saturation effect of nuclear forces is the property responsible for the approximate constancy of binding energy in range 30<A<17030<A<170
It is clear from the curve that binding energy per nucleon of the fused nucle is more than there of the light nuclei taking part nuclear fusion .
Hence energy gets released in the process.
In a nuclear fission , the sum of the masses of the final products is less than the sum of the masses of the reactant component
B. N=Noeλt
But N=No32
No32=Noeλt
25=eλt
5 ln2 = \lambda t$
but given half life so λ=ln210
so t = 50 Years

790054_800627_ans_511b45e736dc44bdb390d2a24ff88da1.PNG

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Q1
(a) Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number A.
(b) A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to 3.125%?
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Q2
A radioactive isotope has a half-life of T years. How long will it take the activity to reduce to (a) 3.125% (b) 1% of its original value?
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Q4

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(b) Use this graph to explain the release of energy in both the processes of nuclear fusion and fission.
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Q5
Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot to choose the correct choice(s) given below:


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