HCF of three numbers

Binding Energy Calculator

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Nuclear Physics Transistor Characteristics

✖Atomic Number is a unique whole number assigned to each chemical element, representing the number of protons present in the nucleus of an atom, used to identify and distinguish elements.ⓘ Atomic Number [Z]			+10% -10%
✖Mass of Proton is the amount of matter in a proton, a subatomic particle found in the nucleus of an atom and is a fundamental physical constant in physics.ⓘ Mass of Proton [m_p]			+10% -10%
✖Mass Number is the total number of protons present in the nucleus of an atom, which determines the identity of a chemical element and its position in the periodic table.ⓘ Mass Number [A]			+10% -10%
✖Mass of Neutron is the amount of matter in a neutron, a subatomic particle with no net electric charge, found in the nucleus of an atom.ⓘ Mass of Neutron [m_n]			+10% -10%
✖Mass of Atom is the total mass of protons, neutrons, and electrons that make up an atom, which is a fundamental unit of a chemical element.ⓘ Mass of Atom [m_atom]			+10% -10%

✖Energy is the ability to do work, which is often understood as the ability to cause change or move objects from one place to another.ⓘ Binding Energy [E]

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Binding Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2
E = (Z*m_p+(A-Z)*m_n-m_atom)*[c]^2
This formula uses 1 Constants, 6 Variables

Constants Used

[c] - Light speed in vacuum Value Taken As 299792458.0

Variables Used

Energy - (Measured in Joule) - Energy is the ability to do work, which is often understood as the ability to cause change or move objects from one place to another.
Atomic Number - Atomic Number is a unique whole number assigned to each chemical element, representing the number of protons present in the nucleus of an atom, used to identify and distinguish elements.
Mass of Proton - (Measured in Kilogram) - Mass of Proton is the amount of matter in a proton, a subatomic particle found in the nucleus of an atom and is a fundamental physical constant in physics.
Mass Number - Mass Number is the total number of protons present in the nucleus of an atom, which determines the identity of a chemical element and its position in the periodic table.
Mass of Neutron - (Measured in Kilogram) - Mass of Neutron is the amount of matter in a neutron, a subatomic particle with no net electric charge, found in the nucleus of an atom.
Mass of Atom - (Measured in Kilogram) - Mass of Atom is the total mass of protons, neutrons, and electrons that make up an atom, which is a fundamental unit of a chemical element.

STEP 1: Convert Input(s) to Base Unit

Atomic Number: 2 --> No Conversion Required
Mass of Proton: 1.2 Kilogram --> 1.2 Kilogram No Conversion Required
Mass Number: 30 --> No Conversion Required
Mass of Neutron: 1.3 Kilogram --> 1.3 Kilogram No Conversion Required
Mass of Atom: 38 Kilogram --> 38 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (Z*m_p+(A-Z)*m_n-m_atom)*[c]^2 --> (2*1.2+(30-2)*1.3-38)*[c]^2

Evaluating ... ...

E = 7.19004142989452E+16

STEP 3: Convert Result to Output's Unit

7.19004142989452E+16 Joule --> No Conversion Required

FINAL ANSWER

7.19004142989452E+16 ≈ 7.2E+16 Joule <-- Energy

(Calculation completed in 00.004 seconds)

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Home » Physics » Modern Physics » Nuclear Physics and Transistors » Basic Physics » Nuclear Physics » Binding Energy

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< Nuclear Physics Calculators

Population at Time

LaTeX Go Number of Particles at Time = Number of Particles in Sample Initially*e^(-(Decay Constant*Time)/(3.156*10^7))

Decay Rate

LaTeX Go Decay Rate = -Decay Constant*Total Number of Particles in Sample

Nuclear Radius

LaTeX Go Nuclear Radius = Radius of Nucleon*Mass Number^(1/3)

Half Life for Nuclear Decay

LaTeX Go Half Life Period = 0.693/Decay Constant

Binding Energy Formula

LaTeX Go

Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2
E = (Z*m_p+(A-Z)*m_n-m_atom)*[c]^2

What is Binding Energy?

Binding energy is the energy required to disassemble a nucleus into its individual protons and neutrons. It represents the difference in mass between the nucleus and its constituent nucleons, converted to energy. binding energy is a measure of the stability of a nucleus; a higher binding energy indicates a more stable nucleus.

How to Calculate Binding Energy?

Binding Energy calculator uses Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2 to calculate the Energy, Binding Energy formula is defined as the energy required to separate an atomic nucleus into its constituent parts, specifically the protons and neutrons, which is a measure of the strength of the nuclear force that holds the nucleus together, providing insight into the stability of an atom. Energy is denoted by E symbol.

How to calculate Binding Energy using this online calculator? To use this online calculator for Binding Energy, enter Atomic Number (Z), Mass of Proton (m_p), Mass Number (A), Mass of Neutron (m_n) & Mass of Atom (m_atom) and hit the calculate button. Here is how the Binding Energy calculation can be explained with given input values -> 7.2E+16 = (2*1.2+(30-2)*1.3-38)*[c]^2.

FAQ

What is Binding Energy?

Binding Energy formula is defined as the energy required to separate an atomic nucleus into its constituent parts, specifically the protons and neutrons, which is a measure of the strength of the nuclear force that holds the nucleus together, providing insight into the stability of an atom and is represented as E = (Z*m_p+(A-Z)*m_n-m_atom)*[c]^2 or Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2. Atomic Number is a unique whole number assigned to each chemical element, representing the number of protons present in the nucleus of an atom, used to identify and distinguish elements, Mass of Proton is the amount of matter in a proton, a subatomic particle found in the nucleus of an atom and is a fundamental physical constant in physics, Mass Number is the total number of protons present in the nucleus of an atom, which determines the identity of a chemical element and its position in the periodic table, Mass of Neutron is the amount of matter in a neutron, a subatomic particle with no net electric charge, found in the nucleus of an atom & Mass of Atom is the total mass of protons, neutrons, and electrons that make up an atom, which is a fundamental unit of a chemical element.

How to calculate Binding Energy?

How many ways are there to calculate Energy?

In this formula, Energy uses Atomic Number, Mass of Proton, Mass Number, Mass of Neutron & Mass of Atom. We can use 1 other way(s) to calculate the same, which is/are as follows -

Energy = Mass Defect*[c]^2

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