Question

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.

Solution

Correct option is

28.3 MeV

An -particla is helium  nucleus, containing two protons and two neutrons. We can find out its mass defect from the given data :  

          

             

                                                               

This is the total mass of the 4 nucleons of -particle. The mass of -particle is 4.00151 u. Therefore, the mass defect is 

         

             

According to the energy-mass relation . 1 u of mass is equivalent to 931.5 MeV of energy. 

 energy equivalent to 0.03039 u is

              

              = 28.3 MeV. 

This is the binding energy of -particle. The binding energy per nucleon is 28.3/4 = 7.07 MeV. This large amount of energy explains the high stability of -particle.  

SIMILAR QUESTIONS

Q1

A radioactive element of atomic weight 99 has a half-life of 6 hours. Find the activity in a solution containing 1 gram of the element in the beginning. The Avogadro’s number is .   

Q2

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 .

Q3

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.

.

Q4

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.

Q5

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 .

Q6

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 )

Q7

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, 

Q8

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 .

Q9

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, 

Q10

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