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Radius of Orbit Formula

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Radius of an Orbit is the distance from the center of orbit of an electron to a point on its surface. Check FAQs

r o = \frac{n quantum \cdot [hP]}{2 \cdot π \cdot Mass flight path \cdot v}

r_o - Radius of an Orbit?n_quantum - Quantum Number?Mass_{flight path} - Mass?v - Velocity?[hP] - Planck constant?π - Archimedes' constant?

Radius of Orbit Example

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Here is how the Radius of Orbit equation looks like with Values.

Here is how the Radius of Orbit equation looks like with Units.

Here is how the Radius of Orbit equation looks like.

4E-28 = \frac{8 \cdot 6.6E-34}{2 \cdot 3.1416 \cdot 35.45 \cdot 60}

4E-28nm = \frac{8 \cdot 6.6E-34}{2 \cdot 3.1416 \cdot 35.45kg \cdot 60m/s}

4E-28 = \frac{8 \cdot 6.6E-34}{2 \cdot 3.1416 \cdot 35.45 \cdot 60}

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Bohr's Atomic Model » fx Radius of Orbit

Radius of Orbit Solution

Follow our step by step solution on how to calculate Radius of Orbit?

FIRST Step Consider the formula

r o = \frac{n quantum \cdot [hP]}{2 \cdot π \cdot Mass flight path \cdot v}

Next Step Substitute values of Variables

∴

r o = \frac{8 \cdot [hP]}{2 \cdot π \cdot 35.45kg \cdot 60m/s}

Next Step Substitute values of Constants

∴

r o = \frac{8 \cdot 6.6E-34}{2 \cdot 3.1416 \cdot 35.45kg \cdot 60m/s}

Next Step Prepare to Evaluate

∴

r o = \frac{8 \cdot 6.6E-34}{2 \cdot 3.1416 \cdot 35.45 \cdot 60}

Next Step Evaluate

∴

r o = 3.96641955858623E-37m

Next Step Convert to Output's Unit

∴

r o = 3.96641955858623E-28nm

LAST Step Rounding Answer

∴

r o = 4E-28nm

Radius of Orbit Formula Elements

Variables

Constants

Radius of an Orbit

Radius of an Orbit is the distance from the center of orbit of an electron to a point on its surface.

Symbol: r_o

Measurement: LengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Radius of an Orbit

Quantum Number

Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

Symbol: n_quantum

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quantum Number

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: Mass_{flight path}

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Velocity

Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Radius of Bohr's Orbit category

Go Radius of Bohr's Orbit

r orbit_AN = \frac{({n quantum}^{2}) \cdot ({[hP]}^{2})}{4 \cdot (π^{2}) \cdot [Mass-e] \cdot [Coulomb] \cdot Z \cdot ({[Charge-e]}^{2})}

Go Radius of Bohr's Orbit for Hydrogen Atom

r orbit_AV = \frac{({n quantum}^{2}) \cdot ({[hP]}^{2})}{4 \cdot (π^{2}) \cdot [Mass-e] \cdot [Coulomb] \cdot ({[Charge-e]}^{2})}

Go Radius of Bohr's Orbit given Atomic Number

r orbit_AN = \frac{(\frac{0.529}{10000000000}) \cdot ({n quantum}^{2})}{Z}

Go Radius of Orbit given Angular Velocity

r orbit_AV = \frac{v e}{ω}

How to Evaluate Radius of Orbit?

Radius of Orbit evaluator uses Radius of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity) to evaluate the Radius of an Orbit, The Radius of Orbit formula is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom. Radius of an Orbit is denoted by r_o symbol.

How to evaluate Radius of Orbit using this online evaluator? To use this online evaluator for Radius of Orbit, enter Quantum Number (n_quantum), Mass (Mass_{flight path}) & Velocity (v) and hit the calculate button.

FAQs on Radius of Orbit

What is the formula to find Radius of Orbit?

The formula of Radius of Orbit is expressed as Radius of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity). Here is an example- 4E-19 = (8*[hP])/(2*pi*35.45*60).

How to calculate Radius of Orbit?

With Quantum Number (n_quantum), Mass (Mass_{flight path}) & Velocity (v) we can find Radius of Orbit using the formula - Radius of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity). This formula also uses Planck constant, Archimedes' constant .

Can the Radius of Orbit be negative?

Yes, the Radius of Orbit, measured in Length can be negative.

Which unit is used to measure Radius of Orbit?

Radius of Orbit is usually measured using the Nanometer[nm] for Length. Meter[nm], Millimeter[nm], Kilometer[nm] are the few other units in which Radius of Orbit can be measured.

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Radius of Orbit Formula

Radius of Orbit Example

Radius of Orbit Solution

Radius of Orbit Formula Elements

Other formulas in Radius of Bohr's Orbit category

How to Evaluate Radius of Orbit?

FAQs on Radius of Orbit

Variable Name