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.

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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.

medium

Solution

Correct option is

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 energy-mass 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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