Time Period of Revolution of Electron Calculator

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Structure of Atom

Bohr's Atomic Model

Compton Effect

De Broglie Hypothesis

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

✖Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.ⓘ Radius of Orbit [r_orbit]			+10% -10%
✖The Velocity of Electron is the speed at which the electron moves in a particular orbit.ⓘ Velocity of Electron [v_e]			+10% -10%

✖Time Period of Electron is the time to complete one revolution of electron in orbit.ⓘ Time Period of Revolution of Electron [T]

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Formula

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Time Period of Revolution of Electron

Formula

`"T" = (2*pi*"r"_{"orbit"})/"v"_{"e"}`

Example

`"1.7E^-8s"=(2*pi*"100nm")/"36m/s"`

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Time Period of Revolution of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period of Electron = (2*pi*Radius of Orbit)/Velocity of Electron
T = (2*pi*r_orbit)/v_e
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Time Period of Electron - (Measured in Second) - Time Period of Electron is the time to complete one revolution of electron in orbit.
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.
Velocity of Electron - (Measured in Meter per Second) - The Velocity of Electron is the speed at which the electron moves in a particular orbit.

STEP 1: Convert Input(s) to Base Unit

Radius of Orbit: 100 Nanometer --> 1E-07 Meter (Check conversion here)
Velocity of Electron: 36 Meter per Second --> 36 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (2*pi*r_orbit)/v_e --> (2*pi*1E-07)/36

Evaluating ... ...

T = 1.74532925199433E-08

STEP 3: Convert Result to Output's Unit

1.74532925199433E-08 Second --> No Conversion Required

FINAL ANSWER

1.74532925199433E-08 ≈ 1.7E-8 Second <-- Time Period of Electron

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Indian Institute of Technology (IIT), Kanpur

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< 25 Structure of Atom Calculators

Bragg equation for Wavelength of Atoms in Crystal Lattice

Go Wavelength of X-ray = 2*Interplanar Spacing of Crystal*(sin(Bragg's Angle of Crystal))/Order of Diffraction

Bragg Equation for Distance between Planes of Atoms in Crystal Lattice

Go Interplanar Spacing in nm = (Order of Diffraction*Wavelength of X-ray)/(2*sin(Bragg's Angle of Crystal))

Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice

Go Order of Diffraction = (2*Interplanar Spacing in nm*sin(Bragg's Angle of Crystal))/Wavelength of X-ray

Mass of Moving Electron

Go Mass of Moving Electron = Rest Mass of Electron/sqrt(1-((Velocity of Electron/[c])^2))

Electrostatic Force between Nucleus and Electron

Go Force between n and e = ([Coulomb]*Atomic Number*([Charge-e]^2))/(Radius of Orbit^2)

Energy of Stationary States

Go Energy of Stationary States = [Rydberg]*((Atomic Number^2)/(Quantum Number^2))

Radii of Stationary States

Go Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number)

Radius of Orbit given Time Period of Electron

Go Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi)

Time Period of Revolution of Electron

Go Time Period of Electron = (2*pi*Radius of Orbit)/Velocity of Electron

Orbital Frequency given Velocity of Electron

Go Frequency using Energy = Velocity of Electron/(2*pi*Radius of Orbit)

Total Energy in Electron Volts

Go Kinetic Energy of Photon = (6.8/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Energy in Electron Volts

Go Kinetic Energy of Photon = (6.8/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Kinetic Energy in Electron Volts

Go Energy of an Atom = -(13.6/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Radius of Orbit given Potential Energy of Electron

Go Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/Potential Energy of Electron)

Energy of Electron

Go Kinetic Energy of Photon = 1.085*10^-18*(Atomic Number)^2/(Quantum Number)^2

Wave Number of Moving Particle

Go Wave Number = Energy of Atom/([hP]*[c])

Kinetic Energy of Electron

Go Energy of Atom = -2.178*10^(-18)*(Atomic Number)^2/(Quantum Number)^2

Radius of Orbit given Total Energy of Electron

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

Radius of Orbit given Kinetic Energy of Electron

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

Angular Velocity of Electron

Go Angular Velocity Electron = Velocity of Electron/Radius of Orbit

Mass Number

Go Mass Number = Number of Protons+Number of Neutrons

Electric Charge

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

Number of Neutrons

Go Number of Neutrons = Mass Number-Atomic Number

Specific Charge

Go Specific Charge = Charge/[Mass-e]

Wave Number of Electromagnetic Wave

Go Wave Number = 1/Wavelength of Light Wave

Time Period of Revolution of Electron Formula

Time Period of Electron = (2*pi*Radius of Orbit)/Velocity of Electron
T = (2*pi*r_orbit)/v_e

What is the time period of revolution?

The Time period of revolution of an electron is the time taken by an electron to complete one revolution around the orbit. If we know the radius and the velocity of the nth orbit of the electron, we can calculate the time period for each revolution of the electron around an orbit.

How to Calculate Time Period of Revolution of Electron?

Time Period of Revolution of Electron calculator uses Time Period of Electron = (2*pi*Radius of Orbit)/Velocity of Electron to calculate the Time Period of Electron, The Time period of revolution of electron is the time taken by an electron to complete one revolution around the orbit. Time Period of Electron is denoted by T symbol.

How to calculate Time Period of Revolution of Electron using this online calculator? To use this online calculator for Time Period of Revolution of Electron, enter Radius of Orbit (r_orbit) & Velocity of Electron (v_e) and hit the calculate button. Here is how the Time Period of Revolution of Electron calculation can be explained with given input values -> 1.7E-8 = (2*pi*1E-07)/36.

FAQ

What is Time Period of Revolution of Electron?

The Time period of revolution of electron is the time taken by an electron to complete one revolution around the orbit and is represented as T = (2*pi*r_orbit)/v_e or Time Period of Electron = (2*pi*Radius of Orbit)/Velocity of Electron. Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface & The Velocity of Electron is the speed at which the electron moves in a particular orbit.

How to calculate Time Period of Revolution of Electron?

The Time period of revolution of electron is the time taken by an electron to complete one revolution around the orbit is calculated using Time Period of Electron = (2*pi*Radius of Orbit)/Velocity of Electron. To calculate Time Period of Revolution of Electron, you need Radius of Orbit (r_orbit) & Velocity of Electron (v_e). With our tool, you need to enter the respective value for Radius of Orbit & Velocity of Electron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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