Q. 5

Find the binding energy per nucleon of if its atomic mass is 196.96 u.

Answer :

, here X = element
A = Mass Number[No. of protons + neutrons]

Z = Atomic Number [No. of protons]


Therefore, Number of neutrons(N)= A – Z


Now coming to the problem,


means that A = 197 and Z = 79


N = A – Z = 197 – 79 = 118


Binding energy , mp = mass of proton


mn= mass of neutron


M = Atomic Mass


c2 = (Speed of light)2


= 931.5 MeV/u




Number of nucleons = No. of protons + neutrons = A = 197


Binding energy per nucleon


Hence, the binding energy per nucleon = 7.741


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RELATED QUESTIONS :

The binding energy of a H-atom, considering an electron moving around a fixed nuclei (proton), is . (m = electron mass). If one decides to work in a frame of reference where the electron is at rest, the proton would be moving around it. By similar arguments, the binding energy would be

(M = proton mass)


This last expression is not correct because


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