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Obtain the binding energy of the nuclei ...

Obtain the binding energy of the nuclei `""_(26)^(26)Fe` and `""_(83)^(209)Bi` in units of MeV from the following data:
`m (""_(26)^(56)Fe ) = 55.934939 u" " m (""_(83)^(209)Bi ) = 208.980388 u `

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8.79 MeV, 7.84 MeV
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The neutron separation energy is defined as the energy required to remove a neutron from the nucleus. Obtain the neutron separation energies of the nuclei ""_(20)^(41)Ca and ""_(13)^(27)Al from the following data: m(""_(20)^(40)Ca) = 39.962591 u m(""_(20)^(41)Ca) = 40.962278 u m(""_(13)^(26)Al) = 25.986895 u m (""_(13)^(27)Al) = 26.981541 u .

Obtain the binding energy (in MeV) of a nitrogen nucleus (""_(7)^(14)N) , given m (""_(7)^(14)N) =14.00307 u.

Suppose, we think of fission of a ""(26)^(56)Fe nucleus into two equal fragments, ""_(13)^(28)Al . Is the fission energetically possible? Argue by working out Q of the process. Given m (""_(26)^(56)Fe ) = 55.93494 u and m (""_(13)^(28)Al ) = 27.98191 u.

The Q value of a nuclear reaction A + b to C + d is defined by Q = [m_A + m_b – m_C – m_d]c^2 where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic. (i) ""_(1)^(1)H + ""_(1)^(3)H to _(1)^(2)H + _(1)^(2)H (ii) ""_(6)^(12)C + ""_(6)^(12)C to ""_(10)^(20)Ne + ""_(2)^(4)He Atomic masses are given to be m (""_(1)^(2)H) = 2.014102 u m (""_(1)^(3)H) = 3.016049 u m (""_(6)^(12)C ) = 12.000000 u m (""_(10)^(20)Ne ) = 19.992439 u .

Consider the D–T reaction (deuterium–tritium fusion) ""_(1)^(2)H + ""_(1)^(3)H to ""_(2)^(4)He + n (a) Calculate the energy released in MeV in this reaction from the data: m (""_(1)^(2)H) = 2.014102u m(""_1^(3)H) = 3.016049 u (b) Consider the radius of both deuterium and tritium to be pproximately 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 = Boltzman’s constant, T = absolute temperature.)

The mass of nucleus ._(z)X^(A) is less than the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of mass m_(1) and m_(2) only if (m_(1)+m_(2)) lt M . Also two light nuclei of massws m_(3) and m_(4) can undergo complete fusion and form a heavy nucleus of mass M ''only if (m_(3)+m_(4)) gt M ''. The masses of some neutral atoms are given in the table below. |{:(._(1)^(1)H,1.007825u,._(1)^(2)H,2.014102u,),(._(1)^(3)H,3.016050u,._(2)^(4)H,4.002603u,),(._(3)^(6)Li,6.015123u,._(3)^(7)Li,7.016004u,),(._(30)^(70)Zn,69.925325u,._(34)^(82)Se,81.916709u,),(._(64)^(152)Gd,151.91980u,._(82)^(206)Pb,205.97445u,),(._(83)^(209)Bi,208.980388u,._(84)^(210)Po,209.982876u,):}| The correct statement is

The mass of a nucleus ._(Z)^(A)X is less that the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus.The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of masses m_(1) and m_(2) only if (m_(1)+m_(2)) lt M . Also two light nuclei of masses m_(3) and m_(4) can undergo complete fusion and form a heavy nucleus of mass M'. only if (m_(3)+m_(4)) gt M' . The masses of some neutral atoms are given in the table below: |{:(._(1)^(1)H ,1.007825u , ._(1)^(2)H,2.014102u,._(1)^(3)H,3.016050u,._(2)^(4)He,4.002603u),(._(3)^(6)Li,6.015123u,._(3)^(7)Li,7.016004u,._(30)^(70)Zn,69.925325u, ._(34)^(82)Se,81.916709u),(._(64)^(152)Gd,151.91980u,._(82)^(206)Pb,205.974455u,._(83)^(209)Bi,208.980388u,._(84)^(210)Po,209.982876u):}| Taking kinetic energy ( in KeV ) of the alpha particle, when the nucleus ._(84)^(210)P_(0) at rest undergoes alpha decay, is:

{:(,"Column I",,"Column II"),((A), 1 "fermi",(p),10^(-13) m),((B),1 "X-ray unit",(q),10^(-15) m),((C),1 "angstrom",(r),10^(-10) m),((D),1 "Astronomical unit",(s),9.46xx10^(15) m),((E),1 "Light year",(t),3.26 "Light year"),((F),1 "Parse",(u),3.08xx10^(16) m),(,,(v),1.49xx10^(11)m):}

NCERT GUJARATI-NUCLEI-EXERCISE
  1. The three stable isotopes of neon: ""(10)^(20)Ne,""(10)^(21)Ne and ""(...

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  2. Obtain the binding energy (in MeV) of a nitrogen nucleus (""(7)^(14)N)...

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  3. Obtain the binding energy of the nuclei ""(26)^(26)Fe and ""(83)^(209)...

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  11. Find the Q-value and the kinetic energy of the emitted a-particle in t...

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  12. The radionuclide ""^(11)C decays according to ""(6)^(11)C to ""(5)^(...

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  13. The nucleus ""(10)^(23)Ne decays by beta^(-)– mission. Write down the ...

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  14. The Q value of a nuclear reaction A + b to C + d is defined by Q =...

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  15. Suppose, we think of fission of a ""(26)^(56)Fe nucleus into two equal...

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  16. The fission properties of ""(94)^(239)Pu are very similar to those of ...

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  17. A 1000 MW fission reactor consumes half of its fuel in 5.00 y. How muc...

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  18. How long can an electric lamp of 100W be kept glowing by fusion of 2.0...

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