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Nuclear Radius Formula

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Nuclear Radius is the distance from the center of an atomic nucleus to its edge, and it is a measure of the size of an atomic nucleus. Check FAQs

r = r 0 \cdot A^{\frac{1}{3}}

r - Nuclear Radius?r₀ - Radius of Nucleon?A - Mass Number?

Nuclear Radius Example

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Here is how the Nuclear Radius equation looks like with Values.

Here is how the Nuclear Radius equation looks like with Units.

Here is how the Nuclear Radius equation looks like.

3.884 = 1.25 \cdot 30^{\frac{1}{3}}

3.884f = 1.25f \cdot 30^{\frac{1}{3}}

3.884 = 1.25 \cdot 30^{\frac{1}{3}}

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Nuclear Radius Solution

Follow our step by step solution on how to calculate Nuclear Radius?

FIRST Step Consider the formula

r = r 0 \cdot A^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r = 1.25f \cdot 30^{\frac{1}{3}}

Next Step Convert Units

∴

r = 1.3E-15m \cdot 30^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r = 1.3E-15 \cdot 30^{\frac{1}{3}}

Next Step Evaluate

∴

r = 3.88404063244232E-15m

Next Step Convert to Output's Unit

∴

r = 3.88404063244232f

LAST Step Rounding Answer

∴

r = 3.884f

Nuclear Radius Formula Elements

Variables

Nuclear Radius

Nuclear Radius is the distance from the center of an atomic nucleus to its edge, and it is a measure of the size of an atomic nucleus.

Symbol: r

Measurement: LengthUnit: f

Note: Value can be positive or negative.

Formulas to find Nuclear Radius

Radius of Nucleon

Radius of Nucleon is the distance from the center of an atomic nucleus to the point where the nuclear density drops to a certain fraction of its maximum value, characterizing the size of the nucleus.

Symbol: r₀

Measurement: LengthUnit: f

Note: Value can be positive or negative.

Formulas to find Radius of Nucleon

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.

Symbol: A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mass Number

Other formulas in Nuclear Physics category

Go Decay Rate

D = - λ \cdot N total

Go Population at Time

N t = N o \cdot e^{- \frac{λ \cdot t}{3.156 \cdot 10^{7}}}

Go Half Life for Nuclear Decay

t half = \frac{0.693}{λ}

Go Average Life

t avg = \frac{1}{λ}

How to Evaluate Nuclear Radius?

Nuclear Radius evaluator uses Nuclear Radius = Radius of Nucleon*Mass Number^(1/3) to evaluate the Nuclear Radius, Nuclear Radius formula is defined as a measure of the size of an atomic nucleus, which is a crucial parameter in understanding the structure and properties of atoms, and is used to describe the distance from the center of the nucleus to its edge, providing valuable insights into nuclear physics and chemistry. Nuclear Radius is denoted by r symbol.

How to evaluate Nuclear Radius using this online evaluator? To use this online evaluator for Nuclear Radius, enter Radius of Nucleon (r₀) & Mass Number (A) and hit the calculate button.

FAQs on Nuclear Radius

What is the formula to find Nuclear Radius?

The formula of Nuclear Radius is expressed as Nuclear Radius = Radius of Nucleon*Mass Number^(1/3). Here is an example- 3.9E+15 = 1.25E-15*30^(1/3).

How to calculate Nuclear Radius?

With Radius of Nucleon (r₀) & Mass Number (A) we can find Nuclear Radius using the formula - Nuclear Radius = Radius of Nucleon*Mass Number^(1/3).

Can the Nuclear Radius be negative?

Yes, the Nuclear Radius, measured in Length can be negative.

Which unit is used to measure Nuclear Radius?

Nuclear Radius is usually measured using the Fermi[f] for Length. Meter[f], Millimeter[f], Kilometer[f] are the few other units in which Nuclear Radius can be measured.

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Nuclear Radius Formula

Nuclear Radius Example

Nuclear Radius Solution

Nuclear Radius Formula Elements

Other formulas in Nuclear Physics category

How to Evaluate Nuclear Radius?

FAQs on Nuclear Radius

Variable Name