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Binding Energy

Binding energ...

Question

Binding energy depends upon the number of protons present inside a nucleus.

A

True

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B

False

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Solution

The correct option is A True

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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. 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.

Q. Protons and neutron are present inside the nucleus of an atom

Q. Assertion :Isobars are the elements having same mass number but different atomic number. Reason: Neutrons and protons are present inside nucleus.

Q. Calculate the binding energy and binding energy per nucleon (in MeV) of a nitrogen nucleus

(_{7}^{14} N)

from the following data :
Mass of proton = 1.00783 u
Mass of neutron = 1.00867 u
Mass of nitrogen nucleus = 14.00307 u

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