Nuclear Radius Calculator

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✖The radius of nucleon value is 1.25 fermi. Nucleons comprise neutrons as well as protons.ⓘ Radius of Nucleon [r₀]			+10% -10%
✖Mass Number is the sum of protons and neutrons in an atom of an element.ⓘ Mass Number [A]			+10% -10%

✖Nuclear Radius is the distance from the center to the point where the density has decreased to half its original value.ⓘ Nuclear Radius [r]

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Formula

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Nuclear Radius

Formula

`"r" = "r"_{"0"}*"A"^(1/3)`

Example

`"4.165277f"="1.25f"*("37")^(1/3)`

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Nuclear Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nuclear Radius = Radius of Nucleon*Mass Number^(1/3)
r = r₀*A^(1/3)
This formula uses 3 Variables

Variables Used

Nuclear Radius - (Measured in Meter) - Nuclear Radius is the distance from the center to the point where the density has decreased to half its original value.
Radius of Nucleon - (Measured in Meter) - The radius of nucleon value is 1.25 fermi. Nucleons comprise neutrons as well as protons.
Mass Number - Mass Number is the sum of protons and neutrons in an atom of an element.

STEP 1: Convert Input(s) to Base Unit

Radius of Nucleon: 1.25 Fermi --> 1.25E-15 Meter (Check conversion here)
Mass Number: 37 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = r₀*A^(1/3) --> 1.25E-15*37^(1/3)

Evaluating ... ...

r = 4.16527731455744E-15

STEP 3: Convert Result to Output's Unit

4.16527731455744E-15 Meter -->4.16527731455744 Fermi (Check conversion here)

FINAL ANSWER

4.16527731455744 ≈ 4.165277 Fermi <-- Nuclear Radius

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

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< 11 Nucleus Calculators

Binding Energy

Go Binding Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2

Mass Defect

Go Mass Defect = Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom

Population at Time t

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

Population after N Half Lives

Go Number of Particles at Time t = Number of Particles in Sample Initially/(2^(Number of Half Lives))

Decay Rate

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

Nuclear Radius

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

Change in Mass in Nuclear Reaction

Go Mass Defect = Mass Reactant-Mass Product

Q-Value

Go Q Value = Initial Energy-Final Energy

Half Life for Nuclear Decay

Go Half Life Period = 0.693/Decay Constant

Average Life

Go Average Life = 1/Decay Constant

Energy Released in Nuclear Reaction

Go Energy = Mass Defect*[c]^2

Nuclear Radius Formula

Nuclear Radius = Radius of Nucleon*Mass Number^(1/3)
r = r₀*A^(1/3)

Why is an atom neutral?

When an atom has an equal number of electrons and protons, it has an equal number of negative electric charges (the electrons) and positive electric charges (the protons). The total electric charge of the atom is therefore zero and the atom is said to be neutral.

How to Calculate Nuclear Radius?

Nuclear Radius calculator uses Nuclear Radius = Radius of Nucleon*Mass Number^(1/3) to calculate the Nuclear Radius, The Nuclear Radius formula is defined as the distance from the centre to the point where the density has decreased to half its original value. Nuclear Radius is denoted by r symbol.

How to calculate Nuclear Radius using this online calculator? To use this online calculator for Nuclear Radius, enter Radius of Nucleon (r₀) & Mass Number (A) and hit the calculate button. Here is how the Nuclear Radius calculation can be explained with given input values -> 4.2E+15 = 1.25E-15*37^(1/3).

FAQ

What is Nuclear Radius?

The Nuclear Radius formula is defined as the distance from the centre to the point where the density has decreased to half its original value and is represented as r = r₀*A^(1/3) or Nuclear Radius = Radius of Nucleon*Mass Number^(1/3). The radius of nucleon value is 1.25 fermi. Nucleons comprise neutrons as well as protons & Mass Number is the sum of protons and neutrons in an atom of an element.

How to calculate Nuclear Radius?

The Nuclear Radius formula is defined as the distance from the centre to the point where the density has decreased to half its original value is calculated using Nuclear Radius = Radius of Nucleon*Mass Number^(1/3). To calculate Nuclear Radius, you need Radius of Nucleon (r₀) & Mass Number (A). With our tool, you need to enter the respective value for Radius of Nucleon & Mass Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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