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Nucleus: Common Terms

M n and M p r...

Question

$M_{n}$ and $M_{p}$ represent mass of neutron and proton respectively. If an element having nuclear mass M has N-neutron and Z-proton, then the correct relation will be

A

M < [N M_{n} + Z M_{p}]

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B

M > [N M_{n} + Z M_{p}]

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C

M = [N M_{n} + Z M_{p}]

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D

M = N [M_{n} + M_{p}]

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Solution

The correct option is A $M < [N M_{n} + Z M_{p}]$
Actual mass of the nucleus is always less than total mass of nucleons so $M < [N M_{n} + Z M_{p}]$

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Similar questions

M_{n}

M_{p}

represet the mass of neutron and proton respectively. An element having mass M has N neutron and Z-protons, then the correct relation will be:

m_{p}

m_{n}

are masses of proton and neutron respectively. An element of mass

M

Z

N

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:

m_{n}

m_{p}

are the masses of

_{Z} X^{A}

nucleus, neutron and proton respectively

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