A nucleus AZX 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
- B.E. = [ZMp + (A - Z)Mn - M(A, Z)]c2
- B.E. = [ZMp + AMp - M(A, Z)]c2
- B.E. = M(A, Z) - ZMp - (A - Z)Mn
- B.E. = [M(A, Z) - ZMp - (A - Z)Mn]c2
Answer
(1) B.E. = [ZMp + (A - Z)Mn - M(A, Z)]c2
Solution
The nucleus AZX contains Z protons and (A − Z) neutrons.
As per NCERT, mass defect M = [ZMp + (A - Z)Mn] - M(A, Z)
B.E. = M c2
= [ZMp + (A - Z)Mn - M(A, Z)]c2
Answer: (1)