Mass Defect Formula

The formula to calculate mass defect (Δm) in nuclear physics is fundamental for understanding the discrepancies in mass within atomic nuclei. It is expressed as:

Δm = (Z⋅mp + N⋅mn) − M

Here,

Z represents the number of protons (atomic number) in the nucleus,

N represents the number of neutrons,

mp is the mass of a proton,

mn is the mass of a neutron, and

M is the total mass of the nucleus.

This formula highlights the difference between the total mass of the constituent particles (protons and neutrons) and the mass of the nucleus they form. By using this formula, one can accurately determine the mass defect, which plays a crucial role in understanding the energy dynamics and stability of atomic nuclei.

How to Calculate Mass Defect?

Concept of mass defect is crucial in the field of nuclear physics. It helps us comprehend the energy released in nuclear reactions and the stability of atomic nuclei. Mass defect refers to the difference in mass between the individual particles within a nucleus (protons and neutrons) and the mass of the nucleus as a whole.

In this article, we will explore the fundamentals of mass defect, including its definition, formula, derivation, and methods of calculation of mass defect.

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What is Mass Defect?

Mass defect is a term used in nuclear physics to describe the difference in mass between the individual particles (protons and neutrons) within an atomic nucleus and the nucleus itself. When protons and neutrons together form a nucleus, they lose a small amount of mass. This lost mass is converted into energy according to Einstein’s equation, E = mc2....

Mass Defect Formula

The formula to calculate mass defect (Δm) in nuclear physics is fundamental for understanding the discrepancies in mass within atomic nuclei. It is expressed as:...

Methods to Calculate Mass Defect

There are several methods to calculate mass defect, they are described as follow:...

Applications of Mass Defect

Understanding mass defect has various applications:...

Solved Examples on Mass Defect

Example 1: A lithium nucleus (Li-7) consists of 3 protons and 4 neutrons. If the mass of a proton is 1.00728 atomic mass units (u) and the mass of a neutron is 1.00867 u, calculate the mass defect of the lithium nucleus....

Practice Questions on Mass Defect

Q1: Calculate the mass defect of a helium nucleus (He-4) consisting of 2 protons and 2 neutrons. Given the mass of a proton as 1.00728 atomic mass units (u) and the mass of a neutron as 1.00867 u....

Frequently Asked Questions on Mass Defect

What is mass defect in nuclear physics?...

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