Question

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

Solution

Correct option is

2.224 MeV

 

The deuterium atom  constant one proton and one neutron in its nucleus (called deuteron) and one extra-nuclear (orbital) electron. Let us calculate the mass detect of deuteron. 

        

                                               

                                                                      

This is the mass of all the constituent particles of the atom . The mass of this atom is 2.014102 u. Therefore, the defect of its nucleus (deuteron) is

      

 Therefore, the binding energy of the deuteron is  

      

When a deuteron is formed from a free proton and free neutron, then2.224 MeV energy is liberated. Conversely, a -ray photon must have at least 2.224 MeV energy to disintegrate a deuteron into a proton and a neutron. The binding energy per nucleon is

        .

SIMILAR QUESTIONS

Q1

In an ore containing uranium, the ratio of  nuclei is 3. Calculate the age of the ore, assuming that all the lead present in the ore is the final stable product of . Take the half-life of .

Q2

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.

.

Q3

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.

Q4

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 .

Q5

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 )

Q6

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, 

Q7

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 .

Q8

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, 

Q9

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.

Q10

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.