﻿ Calculate the binding energy of a nitrogen nucleus in MeV. Given : 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. : Kaysons Education

# Calculate The Binding Energy Of A Nitrogen Nucleus In MeV. Given : 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.

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### 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.