Question

What is mass defect and binding energy??no spam!!!!!!!!!!!!!!!!!!!!!​

Answer 1

MASS DEFECT:-

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The difference in the sum of masses of all nucleons present in a nucleus and the mass of the nucleus is called MASS DEFECT

➭When a number of protons and neutrons (nucleons) combine together to form a nucleus , a small fraction of their masses is lost which appears in the form of $\textbf{binding energy}$

let,

$m_{p}$ ➭ $\green{\texttt{mass of proton}}$

$m_{n}$ ➭ $\green{\texttt{mass of neutron}}$

$m_{N}$➭ $\green{\texttt{mass of nucleus}}$

Z ➭ $\green{\texttt{atomic number}}$ = no. Of protons

A ➭ $\green{\texttt{atomic weight}}$=

➭$\textbf{number of protons}$ +$\textbf{number of neutrons}$

Mass defect,

Δm ➭ [Z × $m_{p}$ + (A -Z )$m_{n}]$ - $M_{N}$ .

$\green{\textbf{Binding energy}}$ ➭

It is the energy with which nucleons are bound $\green{\texttt{in the nucleus}}$. It is measured by the work done to separate the nucleons on infinite distance apart from the nucleus so that they may not interact with each other.

➭The origin of binding energy is explained on the basis of $\green{\texttt{Einstein's mass energy}}$ relation,

$\Large E = mc^{2}$

Certain disappears in the form of energy, responsible for binding the nucleons together in the nucleus.

$\green{\texttt{mass binding energy}}$ of nucleus =➭

$[z \times m_{p} + (A - Z) \times m_{n} - M_{N}]\times {c}^{2}$

➭Where, C is $\green{\texttt{velocity of light}}$.