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Radius of Orbit given Total Energy of Electron Formula

GoRadius of Orbit given Kinetic Energy of Electron Formula

GoRadius of Orbit given Potential Energy of Electron Formula

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

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

r_orbit - Radius of Orbit?Z - Atomic Number?E_total - Total Energy?[Charge-e] - Charge of electron?

Radius of Orbit given Total Energy of Electron Example

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Here is how the Radius of Orbit given Total Energy of Electron equation looks like with Values.

Here is how the Radius of Orbit given Total Energy of Electron equation looks like with Units.

Here is how the Radius of Orbit given Total Energy of Electron equation looks like.

-2.4E-31 = (- \frac{17 \cdot ({1.6E-19}^{2})}{2 \cdot 900})

-2.4E-31nm = (- \frac{17 \cdot ({1.6E-19C}^{2})}{2 \cdot 900J})

-2.4E-31 = (- \frac{17 \cdot ({1.6E-19}^{2})}{2 \cdot 900})

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Radius of Orbit given Total Energy of Electron Solution

Follow our step by step solution on how to calculate Radius of Orbit given Total Energy of Electron?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r orbit = (- \frac{17 \cdot ({[Charge-e]}^{2})}{2 \cdot 900J})

Next Step Substitute values of Constants

∴

r orbit = (- \frac{17 \cdot ({1.6E-19C}^{2})}{2 \cdot 900J})

Next Step Prepare to Evaluate

∴

r orbit = (- \frac{17 \cdot ({1.6E-19}^{2})}{2 \cdot 900})

Next Step Evaluate

∴

r orbit = -2.42436048158159E-40m

Next Step Convert to Output's Unit

∴

r orbit = -2.42436048158159E-31nm

LAST Step Rounding Answer

∴

r orbit = -2.4E-31nm

Radius of Orbit given Total Energy of Electron Formula Elements

Variables

Constants

Radius of Orbit

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

Symbol: r_orbit

Measurement: LengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Radius of Orbit

Atomic Number

Atomic Number is the number of protons present inside the nucleus of an atom of an element.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Atomic Number

Total Energy

Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.

Symbol: E_total

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Total Energy

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

Other Formulas to find Radius of Orbit

Go Radius of Orbit given Kinetic Energy of Electron

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

Go Radius of Orbit given Potential Energy of Electron

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

Go Radius of Orbit given Time Period of Electron

r orbit = \frac{T \cdot v e}{2 \cdot π}

Other formulas in Structure of Atom category

Go Mass Number

A = p + + n 0

Go Number of Neutrons

n 0 = A - Z

Go Electric Charge

qe = n electron \cdot [Charge-e]

Go Wave Number of Electromagnetic Wave

k = \frac{1}{λ lightwave}

How to Evaluate Radius of Orbit given Total Energy of Electron?

Radius of Orbit given Total Energy of Electron evaluator uses Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy)) to evaluate the Radius of Orbit, The Radius of orbit given total energy of electron is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom. Radius of Orbit is denoted by r_orbit symbol.

How to evaluate Radius of Orbit given Total Energy of Electron using this online evaluator? To use this online evaluator for Radius of Orbit given Total Energy of Electron, enter Atomic Number (Z) & Total Energy (E_total) and hit the calculate button.

FAQs on Radius of Orbit given Total Energy of Electron

What is the formula to find Radius of Orbit given Total Energy of Electron?

The formula of Radius of Orbit given Total Energy of Electron is expressed as Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy)). Here is an example- -2.4E-22 = (-(17*([Charge-e]^2))/(2*900)).

How to calculate Radius of Orbit given Total Energy of Electron?

With Atomic Number (Z) & Total Energy (E_total) we can find Radius of Orbit given Total Energy of Electron using the formula - Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy)). This formula also uses Charge of electron constant(s).

What are the other ways to Calculate Radius of Orbit?

Here are the different ways to Calculate Radius of Orbit-

Radius of Orbit=(Atomic Number*([Charge-e]^2))/(2*Kinetic Energy)
Radius of Orbit=(-(Atomic Number*([Charge-e]^2))/Potential Energy of Electron)
Radius of Orbit=(Time Period of Electron*Velocity of Electron)/(2*pi)

Can the Radius of Orbit given Total Energy of Electron be negative?

Yes, the Radius of Orbit given Total Energy of Electron, measured in Length can be negative.

Which unit is used to measure Radius of Orbit given Total Energy of Electron?

Radius of Orbit given Total Energy of Electron 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 given Total Energy of Electron can be measured.

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