Q. 5

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

, 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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