Radius of Orbit given Time Period of Electron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi)
rorbit = (T*ve)/(2*pi)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Time Period of Electron - (Measured in Second) - Time Period of Electron is the time to complete one revolution of electron in orbit.
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
Time Period of Electron: 875 Second --> 875 Second No Conversion Required
Velocity of Electron: 36 Meter per Second --> 36 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rorbit = (T*ve)/(2*pi) --> (875*36)/(2*pi)
Evaluating ... ...
rorbit = 5013.3807073947
STEP 3: Convert Result to Output's Unit
5013.3807073947 Meter -->5013380707394.7 Nanometer (Check conversion here)
FINAL ANSWER
5013380707394.7 โ‰ˆ 5E+12 Nanometer <-- Radius of Orbit
(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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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

Radius of Orbit given Time Period of Electron Formula

Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi)
rorbit = (T*ve)/(2*pi)

What is Bohr's model of a particle?

Bohr's theory is a theory of atomic structure in which the hydrogen atom (Bohr atom ) 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 Time Period of Electron?

Radius of Orbit given Time Period of Electron calculator uses Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi) to calculate the Radius of Orbit, The Radius of orbit given time period 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 rorbit symbol.

How to calculate Radius of Orbit given Time Period of Electron using this online calculator? To use this online calculator for Radius of Orbit given Time Period of Electron, enter Time Period of Electron (T) & Velocity of Electron (ve) and hit the calculate button. Here is how the Radius of Orbit given Time Period of Electron calculation can be explained with given input values -> 5E+21 = (875*36)/(2*pi).

FAQ

What is Radius of Orbit given Time Period of Electron?
The Radius of orbit given time period 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 rorbit = (T*ve)/(2*pi) or Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi). Time Period of Electron is the time to complete one revolution of electron in orbit & The Velocity of Electron is the speed at which the electron moves in a particular orbit.
How to calculate Radius of Orbit given Time Period of Electron?
The Radius of orbit given time period 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 = (Time Period of Electron*Velocity of Electron)/(2*pi). To calculate Radius of Orbit given Time Period of Electron, you need Time Period of Electron (T) & Velocity of Electron (ve). With our tool, you need to enter the respective value for Time Period of Electron & Velocity of Electron 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 Time Period of Electron & Velocity of Electron. 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 = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy))
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