Home
Class 12
PHYSICS
The deuteron is bound by nuclear forces ...

The deuteron is bound by nuclear forces just as H-atom is made up of p and e bound by electrostatic forces. If we consider the forces between neutron and proton in deuteron as given in the form of a Coulomb force but with an effective charge e': `F=1/(4piepsilon_(0)) (e'^(2))/r^(2)`
estimate the value of `(e'//e)` given that the following binding energy of a deuteron is 2.2MeV.

A

1.89

B

9.24

C

3.64

D

7.62

Text Solution

Verified by Experts

The correct Answer is:
c
We Know that binding energy of hydrogen atom in ground state, `E=(me^4)/(8epsilon_0^2h^2)`=13.6 eV ….(i)
Replacing e by e' and m by m' , reduced mass of neutron- proton
`m'=(MxxM)/(M+M)=M/2="1836m"/2`=918 m …(ii)
(M = mass of neutron / proton )
`therefore ` Binding energy , `E'=(918 me'^4)/(8 epsilon_0^2 h^2)`=2.2 MeV
Dividing (ii) by (i)
`918("e'"/e)^4=(2.2xx10^6)/13.6`
`(e')/e=(176.21)^(1//4)` =3.64
Promotional Banner

Topper's Solved these Questions

  • NUCLEI

    NCERT FINGERTIPS|Exercise NCERT Exemplar|7 Videos

  • NUCLEI

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • NUCLEI

    NCERT FINGERTIPS|Exercise Nuclear Energy|10 Videos

  • MOVING CHARGES AND MAGNETISM

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • PRACTICE PAPPER

    NCERT FINGERTIPS|Exercise Practice Paper 3|50 Videos

Similar Questions

Explore conceptually related problems

The deuteron is bound by nuclear forces just as H-atom is made up of p and e bound by electrostatic forces. If we consider the forces between neutron and proton in deuteron as given in the form of a Coulomb potential but with an effective charge e': F=1/(4piepsilon_(0)) (e'^(2))/r estimate the value of (e'//e) given that the following binding energy of a deuteron is 2.2MeV.

Two protons are kept at a separation of 50Å. Fn is the nuclear force and F_(e ) is the electrostatic force between them, then

If F_g and F_e are gravitational and electrostatic forces between two electrons at a distance 0.1m then F_g//F_e is in the order of

Two electrons separated by distance 'r' experience a coulomb force F between them.The coulomb force between a proton and a singly ionized helium atom separated by distance 2r is

In the Bohr model of a hydrogen atom, the centripetal force is furnished by the Coulomb attraction between the proton and the electrons. If a_(0) is the radius of the ground state orbit, m is the mass and e is the charge on the electron and e_(0) is the vacuum permittivity, the speed of the electron is

Two springs of force constants K and 2K are stretched by the same force. If E_(1) and E_(2) are the potential energies stored in them respectively then

Two forces of mangitude F_(1) and F_(2) are acting on an object.The magnitude of the net force F_(n e t ) on the object will be in the range.

Show that the energy of hydrogen atom in the ground state is E= -(1)/(8pi epsi_(0)) e^(2)/r [Hint: Energy in the gound state = kinetic energy of electron in the first orbit + electrostatic potential energy of the electron.]

The nucleus of the deuterium atom, called the deuteron, consists of a proton and a neutron. Calculate the deutron's binding energy, given atomic mass, i.e., the mass of a deuterium nucleus plus an electron is measured to be 2.014 102 u .

Consider two deuterons moving towards each other with equal speeds in a deuteron gas. What should be their kinetic energies (when they are widely separated) so that the closest separation between them becomes 2 fm? Assume that the nuclear force is not effective for separations greater than 2 fm . At what temperature will the deuterons have this kinetic energy on an average?