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

Q1

The mean lives of a radioactive substance are 1620 years and 405 years for-emission and -emission respectively. Find out the time during which three-fourth of a sample will decay if it is decaying both by -emission and-emission simultaneously.

.

Q2

Calculate the energy in joule equivalent to the mass of one proton. The mass of proton is 1.00728 u. Express the energy in kilowatt-hour also.

Q3

An electron-positron pair is produced by the materialization of a gamma-ray photon of 2.26 MeV. How much kinetic energy is imparted to each of the charged particle? The rest mass of elector is  and the speed of light is Take .

Q4

An electron and its antiparticle are annihilated after collision. How much energy will be obtained? What will be the wavelength of the emitted radiation (energy)? (Mass of electron , speed of light  and Planck’s constant )

Q5

A 1-MeV positron collides head-on with a 1-MeV electron and they are annihilated, producing -rays. Compute total energy of the resulting -rays and their wavelength.Given : rest mass of electron or positron = 0.000549 u, 

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

A neutron is absorbed by a  nucleus with subsequent emission of an -particle. Write the corresponding nuclear reaction and calculate the energy released in the reaction. 

Given, 

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.