Question

Calculate the binding energy per nucleon of the nuclei of Given :mass of hydrogen atom = 1.007825 u, mass of neutron = 1.008665 u, mass of  atom = 55.934939 u, mass of  atom = 208.980388u and . Which nucleus is more stable?

Solution

Correct option is

8.790 MeV

The nuclear binding energy of an atom  in terms of atomic masses and neutron mass is given by  

       ,

Where mH is the mass of the hydrogen atom, n the mass of neutron and the mass of the atom ,

all the masses being in unified atomic mass unit u. 

For  : Z = 26, A = 56 and so (A – Z) = 56 – 26 = 30. 

                                                                                                                          

         

         

The nucleus of  contains 56 nucleons. Therefore, its binding energy per nucleon is

          .

SIMILAR QUESTIONS

Q1

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 .

Q2

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 )

Q3

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, 

Q4

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 .

Q5

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, 

Q6

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.

Q7

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

Q8

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.

Q9

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.  

Q10

The binding energy energies of deuteron  and -particle  are 1.112 and 7.07 MeV/nucleon respectively. Find out in the process , state whether energy is supplied or liberated and how much?