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Velocity of Electron in Bohr's Orbit Formula

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Velocity of Electron given BO is the speed at which the electron moves in a particular orbit. Check FAQs

v e_BO = \frac{{[Charge-e]}^{2}}{2 \cdot [Permitivity-vacuum] \cdot n quantum \cdot [hP]}

v_{e_BO} - Velocity of Electron given BO?n_quantum - Quantum Number?[Charge-e] - Charge of electron?[Permitivity-vacuum] - Permittivity of vacuum?[hP] - Planck constant?

Velocity of Electron in Bohr's Orbit Example

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Here is how the Velocity of Electron in Bohr's Orbit equation looks like with Values.

Here is how the Velocity of Electron in Bohr's Orbit equation looks like with Units.

Here is how the Velocity of Electron in Bohr's Orbit equation looks like.

273590.8094 = \frac{{1.6E-19}^{2}}{2 \cdot 8.9E-12 \cdot 8 \cdot 6.6E-34}

273590.8094m/s = \frac{{1.6E-19C}^{2}}{2 \cdot 8.9E-12F/m \cdot 8 \cdot 6.6E-34}

273590.8094 = \frac{{1.6E-19}^{2}}{2 \cdot 8.9E-12 \cdot 8 \cdot 6.6E-34}

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Velocity of Electron in Bohr's Orbit Solution

Follow our step by step solution on how to calculate Velocity of Electron in Bohr's Orbit?

FIRST Step Consider the formula

v e_BO = \frac{{[Charge-e]}^{2}}{2 \cdot [Permitivity-vacuum] \cdot n quantum \cdot [hP]}

Next Step Substitute values of Variables

∴

v e_BO = \frac{{[Charge-e]}^{2}}{2 \cdot [Permitivity-vacuum] \cdot 8 \cdot [hP]}

Next Step Substitute values of Constants

∴

v e_BO = \frac{{1.6E-19C}^{2}}{2 \cdot 8.9E-12F/m \cdot 8 \cdot 6.6E-34}

Next Step Prepare to Evaluate

∴

v e_BO = \frac{{1.6E-19}^{2}}{2 \cdot 8.9E-12 \cdot 8 \cdot 6.6E-34}

Next Step Evaluate

∴

v e_BO = 273590.809430898m/s

LAST Step Rounding Answer

∴

v e_BO = 273590.8094m/s

Velocity of Electron in Bohr's Orbit Formula Elements

Variables

Constants

Velocity of Electron given BO

Velocity of Electron given BO is the speed at which the electron moves in a particular orbit.

Symbol: v_{e_BO}

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Electron given BO

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

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Permittivity of vacuum

Permittivity of vacuum is a fundamental physical constant that describes the ability of a vacuum to permit the transmission of electric field lines.

Symbol: [Permitivity-vacuum]

Value: 8.85E-12 F/m

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

Other formulas in Electrons and Orbits category

Go Total Energy of Electron

E total = - 1.085 \cdot \frac{{(Z)}^{2}}{{(n quantum)}^{2}}

Go Orbital Frequency of Electron

f orbital = \frac{1}{T}

Go Potential Energy of Electron given Atomic Number

PE = (- \frac{Z \cdot ({[Charge-e]}^{2})}{r orbit})

Go Total Energy of Electron given Atomic Number

E eV_AN = - \frac{Z \cdot ({[Charge-e]}^{2})}{2 \cdot r orbit}

How to Evaluate Velocity of Electron in Bohr's Orbit?

Velocity of Electron in Bohr's Orbit evaluator uses Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP]) to evaluate the Velocity of Electron given BO, The Velocity of electron in Bohr's orbit is a vector quantity (it has both magnitude and direction) and is the time rate of change of position (of a particle). Velocity of Electron given BO is denoted by v_{e_BO} symbol.

How to evaluate Velocity of Electron in Bohr's Orbit using this online evaluator? To use this online evaluator for Velocity of Electron in Bohr's Orbit, enter Quantum Number (n_quantum) and hit the calculate button.

FAQs on Velocity of Electron in Bohr's Orbit

What is the formula to find Velocity of Electron in Bohr's Orbit?

The formula of Velocity of Electron in Bohr's Orbit is expressed as Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP]). Here is an example- 273590.8 = ([Charge-e]^2)/(2*[Permitivity-vacuum]*8*[hP]).

How to calculate Velocity of Electron in Bohr's Orbit?

With Quantum Number (n_quantum) we can find Velocity of Electron in Bohr's Orbit using the formula - Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP]). This formula also uses Charge of electron, Permittivity of vacuum, Planck constant .

Can the Velocity of Electron in Bohr's Orbit be negative?

Yes, the Velocity of Electron in Bohr's Orbit, measured in Speed can be negative.

Which unit is used to measure Velocity of Electron in Bohr's Orbit?

Velocity of Electron in Bohr's Orbit is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Electron in Bohr's Orbit can be measured.

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