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Atoms and Nuclei question

2008 · Q141
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Atoms and Nuclei question

2008 · Q141

NEETPhysicsAtoms and NucleiMCQ+4 / −1
If M(A; Z), Mp and Mn denote the masses of the nucleus ZAX,{}_Z^AX,ZA​X, proton and neutron respectively in units of u (1 u = 931.5 MeV/c2) and BE represents its bonding energy in MeV, then
  1. A
    M(A, Z) = ZMp + (A −-− Z)Mn −-− BE
  2. B
    M(A, Z) = ZMp + (A −-− Z)Mn + BE/c2
  3. C
    M(A, Z) = ZMp + (A −-− Z)Mn −-− BE/c2
  4. D
    M(A, Z) = ZMp + (A −-− Z)Mn + BE
View written solutionFree

Correct answer: C

Mass defect = ZMp + (A –Z)Mn – M(A, Z)

⇒\Rightarrow⇒ B.Ec2{{B.E} \over {{c^2}}}c2B.E​ = ZMp + (A –Z)Mn – M(A, Z)

∴\therefore∴ M(A, Z) = ZMp + (A −-− Z)Mn −-− B.Ec2{{B.E} \over {{c^2}}}c2B.E​

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