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Atoms and Nuclei question

2007 · Q126
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Atoms and Nuclei question

2007 · Q126

NEETPhysicsAtoms and NucleiMCQ+4 / −1
A nucleus ZAX{}_Z^AXZA​X has mass represented by M(A, Z). If Mp and Mn denote the mass of proton and neutron respectively and B.E. the binding energy in MeV, then
  1. A
    B.E. = [ZMp + (A −-− Z)Mn −-− M(A, Z)]c2
  2. B
    B.E. = [ZMp + AMp −-− M(A, Z)]c2
  3. C
    B.E. = M(A, Z) −-− ZMp −-− (A −-− Z)Mn
  4. D
    B.E. = [M(A, Z) −-− ZMp −-− (A −-− Z)Mn]c2
View written solutionFree

Correct answer: A

The difference in mass of a nucleus and its constituents, Δ\Delta ΔM, is called the mass defect and is given by

Δ\Delta ΔM = [ZMp + (A −-− Z)Mn] - M(A, Z)

binding energy = Δ\Delta ΔMc2

= [ZMp + (A −-− Z)Mn −-− M(A, Z)]c2

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