Question
Calculate the binding energy of an particle in MeV. The masses of proton, neutron and particle are 1.00728, 1.00867 and 4.00151 urespectively.

22.50 MeV

28.3 MeV

25 MeV

None of these
medium
Solution
28.3 MeV
An particla is helium nucleus, containing two protons and two neutrons. We can find out its mass defect from the given data :
This is the total mass of the 4 nucleons of particle. The mass of particle is 4.00151 u. Therefore, the mass defect is
.
According to the energymass relation . 1 u of mass is equivalent to 931.5 MeV of energy.
energy equivalent to 0.03039 u is
= 28.3 MeV.
This is the binding energy of particle. The binding energy per nucleon is 28.3/4 = 7.07 MeV. This large amount of energy explains the high stability of particle.
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