Question

A heavy nucleus X of mass number A = 240 and binding energy per nucleon = 7.6 MeV is split into two nearly equal fragments Y and Z of mass numbers A1 = 110 and A2 = 130. The binding energy of each one of these nuclei is 8.5 MeV per nucleon. Calculate the total binding energy of each of the nuclei XY and Z, and hence the energy Q released per fission in MeV.   

 

Solution

Correct option is

(1824, 935, 1105, 216)MeV

The nucleus X has 240 nucleons. So its binding energy is 

            

The binding energy of nucleus Y is 

        .   

The binding energy of nucleus Z is  

        .  

 energy released per fission  is

        

SIMILAR QUESTIONS

Q1

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, 

Q2

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 .

Q3

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, 

Q4

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.

Q5

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

Q6

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.

Q7

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.  

Q8

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?

Q9

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? 

Q10

The neutron separation energy is defined to be the energy required to remove a neutron from a nucleus. Obtain the neutron separation energy of the nucleus of Given : mass of  atom = 40.962278 u, mass of  atom = 39.962591 u, mass of neutron = 1.008665 u and .