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Radius of Orbit given Kinetic 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%
✖Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.ⓘ Kinetic Energy [KE]			+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 Kinetic Energy of Electron [r_orbit]

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Radius of Orbit given Kinetic Energy of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Orbit = (Atomic Number*([Charge-e]^2))/(2*Kinetic Energy)
r_orbit = (Z*([Charge-e]^2))/(2*KE)
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.
Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

STEP 1: Convert Input(s) to Base Unit

Atomic Number: 17 --> No Conversion Required
Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_orbit = (Z*([Charge-e]^2))/(2*KE) --> (17*([Charge-e]^2))/(2*75)

Evaluating ... ...

r_orbit = 2.90923257789791E-39

STEP 3: Convert Result to Output's Unit

2.90923257789791E-39 Meter -->2.90923257789791E-30 Nanometer (Check conversion here)

FINAL ANSWER

2.90923257789791E-30 ≈ 2.9E-30 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 Kinetic Energy of Electron Formula

LaTeX Go

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

What is Bohr's model of a particle?

Bohr's theory is a theory of atomic structure in which the hydrogen atom (Bohr atom E) is assumed to consist of a proton as the 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 Kinetic Energy of Electron?

Radius of Orbit given Kinetic Energy of Electron calculator uses Radius of Orbit = (Atomic Number*([Charge-e]^2))/(2*Kinetic Energy) to calculate the Radius of Orbit, The Radius of orbit given kinetic 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 Kinetic Energy of Electron using this online calculator? To use this online calculator for Radius of Orbit given Kinetic Energy of Electron, enter Atomic Number (Z) & Kinetic Energy (KE) and hit the calculate button. Here is how the Radius of Orbit given Kinetic Energy of Electron calculation can be explained with given input values -> 2.9E-21 = (17*([Charge-e]^2))/(2*75).

FAQ

What is Radius of Orbit given Kinetic Energy of Electron?

The Radius of orbit given kinetic 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*KE) or Radius of Orbit = (Atomic Number*([Charge-e]^2))/(2*Kinetic Energy). Atomic Number is the number of protons present inside the nucleus of an atom of an element & Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

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

The Radius of orbit given kinetic 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*Kinetic Energy). To calculate Radius of Orbit given Kinetic Energy of Electron, you need Atomic Number (Z) & Kinetic Energy (KE). With our tool, you need to enter the respective value for Atomic Number & Kinetic 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 & Kinetic 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))/Potential Energy of Electron)
Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi)
Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy))

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