CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Binding Energy

Write the rel...

Question

Write the relation for binding energy (B.E) (in MeV) of a nucleus of mass $_{Z}^{A} M$ , atomic number (Z) and mass number (A) in terms of the masses of its constituents - neutrons and protons.

Open in App

Solution

The binding energy in (MeV) is $E_{B} = (Z m_{p} + N m_{n} - M_{A}^{Z}) c^{2}$
Where $m_{p} =$ mass of proton , $m_{n} =$ mass of neutron, $c =$ velocity of light.
Now $N = A - Z$ thus, $E_{B} = [Z m_{p} + (A - Z) m_{n} - M_{A}^{Z}] c^{2} = [Z (m_{p} - m_{n}) + A m_{n} - M_{A}^{Z}) c^{2}$

Suggest Corrections

thumbs-up

0

Similar questions

_{Z}^{A} X

has mass represented by

M (A, Z)

M_{p}

M_{n}

denote the mass of proton and neutron respectively and B.E. the binding energy in MeV, then:

Q. The binding energy of

_{17}^{35} C l

nucleus is 298 MeV. Find its atomic mass. Given, mass of a proton

(m_{p}) = 1.007825 a m u

, mass of neutron

(m_{n}) = 1.008665 a m u

M_{p}

M_{n}

denote the masses of the nucleus, proton and neutron respectively in units of

u (1 u = 931.5 M e V / c^{2})

and BE represents its binding energy in MeV, then.

Q. Nuclear binding energy is the energy released during the hypothetical formation of the nucleus by the condensation of individual nucleons. Thus, binding energy per nucleon =

\frac{Total binding energy}{Number of nucleons}

For example, the mass of hydrogen atom is equal to the sum of the masses of a proton and an electron. For other atoms, the atomic mass is less than the sum of the masses of protons, neutrons and electrons present. This difference in mass, termed as mass defect, is a measure of the binding energy of protons and neutrons in the nucleus. The mass-energy relationship postulated by Einstein is expressed as:

Δ E = Δ m c^{2}

Δ E

is the energy liberated,

Δ m

is the loss of mass, and c is the speed of light.

M P

M n

are masses of a proton and a neutron respectively. For a nucleus, its binding energy is

B

and it contains

Z

N

neutrons, the correct relation for this nucleus if

C

is velocity of light is:

Q. Atomic mass of

_{6}^{13} C

13.00335

amu and its mass number is

13.0

= 931

MeV, binding energy of the neutrons present in the nucleus is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Binding Energy

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon