Calculate The Binding Energy Of A Nitrogen Nucleus In MeV. Given : mass Of Hydrogen Atom = 1.00783 u, Mass Of Neutron = 1.00867 u and Mass Of Nitrogen Atom . Take 1 u = 931.5 MeV/c2.

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Question

Calculate the binding energy of a nitrogen nucleus in MeVGiven : mass of hydrogen atom = 1.00783 u, mass of

neutron = 1.00867 u and mass of nitrogen atom . Take 1 u = 931.5 MeV/c2.

Solution

Correct option is

104.7 MeV, 7.478 MeV

The nitrogen atom  has protons and 7 neutrons in its nucleus, and 7 orbital electrons. Let us calculate the mass defect of nitrogen nucleus.

Mass of (7 protons  + 7 electrons) = mass of 7 hydrogen atoms

                                                      

                      

                                                                            

This is the mass of all the constituent particles of the  atom. The mass of the atom is 14.00307 u. Therefore, the mass defect of its nucleus is 

         

Now, 1 u of mass is equivalent to 931.5 MeV of energy. Therefore, the energy equivalent of 0.11243 u of mass is 

       

This is the binding energy of nitrogen nucleus. It contains 14 nucleons. Therefore, the binding energy per nucleons is

 104.7 MeV/14 = 7.478 MeV.

SIMILAR QUESTIONS

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.

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Q6

A neutron breaks into a photon , an electron  and antineutrino . Calculate the energy released in this process in MeVGiven : mass of electron , mass of proton , mass of neutron .

Q7

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Q8

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.

Q9

Calculate the binding energy of a deuteron  in MeV.Given : mass of neutron = 1.008665 u, mass of hydrogen atom , mass of deuterium atoms 

Q10

Calculate the binding energy per nucleon of carbon  nucleus. Given : mass of carbon atom = 12.00000 u, mass of proton = 1.00867 u, mass of electron = 1.00055 u. The energy equivalent of 1 u is 931.5 MeV.