If M ( A , Z ) , M P and M n denote the masses of the nucleus Z A X , proton and neutron respectively in units of u ( 1 u = 931.5 MeV / c 2 ) and BE represents its binding energy in MeV , thenNE

Question

If M ( A , Z ) , M P ​ and M n ​ denote the masses of the nucleus Z A ​ X , proton and neutron respectively in units of u ( 1 u = 931.5 MeV / c 2 ) and BE represents its binding energy in MeV , thenNEET 2008 (Screening)

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Binding energy of a nucleus containing N neutrons and Z protons is ⇒ ⇒ ⇒ ​ BE = [ N M n ​ + Z M p ​ − M ( A , Z ) ] c 2 c 2 BE ​ = N M n ​ + Z M p ​ − M ( A , Z ) c 2 BE ​ = ( A − Z ) M n ​ + Z M p ​ − M ( A , Z ) M ( A , Z ) = Z M p ​ + ( A − Z ) M n ​ − BE / c 2 ​

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