Nuclei - Result Question 33

34. A nucleus ZAX 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

(a) B.E. =[ZMp+(AZ)MnM(A,Z)]c2

[2007]

(b) B.E. =[ZMpp+ZMMnn(A,Z)]c2

(c) B.E. =M(A,Z)ZMp(AZ)Mn

(d) B.E. =[M(A,Z)ZMp(AZ)Mn]c2

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Answer:

Correct Answer: 34. (a)

Solution:

  1. (a) The difference in mass of a nucleus and its constituents, ΔM, is called the mass defect and is given by

ΔM=[ZMp+(AZ)Mn]M

and binding energy =ΔMc2

=[ZMp+(AZ)MnM]c2



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