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Question

Distinguish between nuclear fission and fusion. Show how in both these processes energy is released. Calculate the energy release in MeV in the deuterium-tritium fusion reaction : 21H+31H→41He+0n1Using the data:m(21H)=2.014102um(31H)=3.016049um(42He)=4.002603umn=1.008665ulu=931.5MeV/c2

Solution
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Nuclear fission is a process of splitting of a heavier nucleus into two lighter nuclei. It generally occurs in elements of high atomic mass.Nuclear fusion is a process of combination of two light nuclei to form a heavier nuclei. It generally occurs in elements of low atomic mass.In both the processes, the total mass of the products is slightly less than the mass of the original nuclei. This difference in mass is converted to energy.In the given problem, mass defect isΔm=2.014102+3.016049−4.002603−1.008665Δm=0.018883 uEnergy released, ΔE=Δmc2ΔE=0.018883×931.5=17.589MeV

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Similar Questions
Q1
Distinguish between nuclear fission and fusion. Show how in both these processes energy is released. Calculate the energy release in MeV in the deuterium-tritium fusion reaction :
21H+31H41He+0n1
Using the data:
m(21H)=2.014102u
m(31H)=3.016049u
m(42He)=4.002603u
mn=1.008665u
lu=931.5MeV/c2
View Solution
Q2
Consider the DT reaction (deuteriumtritium fusion).
21H+31H42He+n
(a) Calculate the energy released in MeV in this reaction from the data:
m(21H)=2.014102u
m(31H)=3.016049u
(b) Consider the radius of both deuterium and tritium to be approximately 2.0 fm. What is the kinetic energy needed to overcome the coulomb repulsion between the two nuclei? To what temperature must the gas be heated to initiate the reaction? (Hint: Kinetic energy required for one fusion event =average thermal kinetic energy available with the interacting particles = 2(3kT/2); k = Boltzmans constant, T = absolute temperature.)
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Q3
In the study of Geiger-Marsdon experiment on scattering of α-particles by a thin foil of gold, draw the trajectory of α-particles in the coulomb field of target nucleus. Explain briefly how one gets the information on the size of the nucleus from this study.
From the relation R=R0A1/3, where R0 is constant and A is the mass number of the nucleus, show that nuclear matter density is independent of A.
OR
Distinguish between nuclear fission and fusion. Show how in both these processes energy is released.
Calculate the energy release in MeV in the deuterium-tritium fusion reaction:
21H+31H42He+n
Using the data:
m(21H)=2.014102u
m(31H)=3.016049u
m(42He)=4.002603u
mn=1.008665u
1u=931.5MeV/c2
View Solution
Q4
(a) Differentiate between nuclear fission and nuclear fusion.
(b) Which of the two, nuclear fusion and nuclear fusion, is made use of:
(i) for the production of electricity?
(ii) for making a hydrogen bomb?
(c) Which produces more energy : nuclear fusion or nuclear fission?
(d) Calculate the energy released in joules when 5 g of a material is completely converted into energy doing a nuclear reaction.
(e) How much is this energy in MeV? (Speed of light = 3 × 108 m/s)
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Q5
In a certain star, three alpha particles undergo fusion in a single reaction to form 126C nucleus. Calculate the energy released in this reaction in MeV.
Given: m(42He)=4.002604 u and m(126C)=12.000000 u
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