HCF of three numbers

Radius of Orbit given Total Energy of Electron Calculator

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✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%
✖Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.ⓘ Total Energy [E_total]			+10% -10%

✖Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.ⓘ Radius of Orbit given Total Energy of Electron [r_orbit]

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Radius of Orbit given Total Energy of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy))
r_orbit = (-(Z*([Charge-e]^2))/(2*E_total))
This formula uses 1 Constants, 3 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19

Variables Used

Radius of Orbit - (Measured in Meter) - Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
Total Energy - (Measured in Joule) - Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.

STEP 1: Convert Input(s) to Base Unit

Atomic Number: 17 --> No Conversion Required
Total Energy: 900 Joule --> 900 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_orbit = (-(Z*([Charge-e]^2))/(2*E_total)) --> (-(17*([Charge-e]^2))/(2*900))

Evaluating ... ...

r_orbit = -2.42436048158159E-40

STEP 3: Convert Result to Output's Unit

-2.42436048158159E-40 Meter -->-2.42436048158159E-31 Nanometer (Check conversion here)

FINAL ANSWER

-2.42436048158159E-31 ≈ -2.4E-31 Nanometer <-- Radius of Orbit

(Calculation completed in 00.004 seconds)

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< Structure of Atom Calculators

Mass Number

LaTeX Go Mass Number = Number of Protons+Number of Neutrons

Electric Charge

LaTeX Go Electric Charge = Number of Electron*[Charge-e]

Number of Neutrons

LaTeX Go Number of Neutrons = Mass Number-Atomic Number

Wave Number of Electromagnetic Wave

LaTeX Go Wave Number = 1/Wavelength of Light Wave

Radius of Orbit given Total Energy of Electron Formula

LaTeX Go

Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy))
r_orbit = (-(Z*([Charge-e]^2))/(2*E_total))

What is Bohr's model?

Bohr's Theory is a theory of atomic structure in which the hydrogen atom (Bohr atom ) is assumed to consist of a proton as nucleus, with a single electron moving in distinct circular orbits around it, each orbit corresponding to a specific quantized energy state: the theory was extended to other atoms.

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

Radius of Orbit given Total Energy of Electron calculator uses Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy)) to calculate 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 calculate Radius of Orbit given Total Energy of Electron using this online calculator? To use this online calculator for Radius of Orbit given Total Energy of Electron, enter Atomic Number (Z) & Total Energy (E_total) and hit the calculate button. Here is how the Radius of Orbit given Total Energy of Electron calculation can be explained with given input values -> -2.4E-22 = (-(17*([Charge-e]^2))/(2*900)).

FAQ

What is Radius of Orbit given Total Energy of Electron?

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 and is represented as r_orbit = (-(Z*([Charge-e]^2))/(2*E_total)) or Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy)). Atomic Number is the number of protons present inside the nucleus of an atom of an element & Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.

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

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 is calculated using Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy)). To calculate Radius of Orbit given Total Energy of Electron, you need Atomic Number (Z) & Total Energy (E_total). With our tool, you need to enter the respective value for Atomic Number & Total Energy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radius of Orbit?

In this formula, Radius of Orbit uses Atomic Number & Total Energy. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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