Velocity of Electron given Time Period of Electron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron
velectron = (2*pi*rorbit)/T
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Velocity of Electron given Time - (Measured in Meter per Second) - Velocity of Electron given Time is the speed at which the electron moves in a particular 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.
Time Period of Electron - (Measured in Second) - Time Period of Electron is the time to complete one revolution of electron in orbit.
STEP 1: Convert Input(s) to Base Unit
Radius of Orbit: 100 Nanometer --> 1E-07 Meter (Check conversion here)
Time Period of Electron: 875 Second --> 875 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
velectron = (2*pi*rorbit)/T --> (2*pi*1E-07)/875
Evaluating ... ...
velectron = 7.18078320820524E-10
STEP 3: Convert Result to Output's Unit
7.18078320820524E-10 Meter per Second --> No Conversion Required
FINAL ANSWER
7.18078320820524E-10 โ‰ˆ 7.2E-10 Meter per Second <-- Velocity of Electron given Time
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verified by Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has verified this Calculator and 300+ more calculators!

16 Electrons & Orbits Calculators

Change in Wave Number of Moving Particle
Go Wave Number of moving Particle = 1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)/((Final Quantum Number^2)*(Initial Quantum Number^2))
Change in Wavelength of Moving Particle
Go Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2))
Total Energy of Electron in nth Orbit
Go Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2)))
Velocity of Electron in Bohr's Orbit
Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])
Energy Gap between Two Orbits
Go Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Velocity of Electron given Time Period of Electron
Go Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron
Total Energy of Electron given Atomic Number
Go Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit)
Potential Energy of Electron given Atomic Number
Go Potential Energy in Ev = (-(Atomic Number*([Charge-e]^2))/Radius of Orbit)
Energy of Electron in Final Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Final Quantum Number^2)))
Velocity of Electron in Orbit given Angular Velocity
Go Velocity of Electron given AV = Angular Velocity*Radius of Orbit
Energy of Electron in Initial Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Initial Orbit^2)))
Total Energy of Electron
Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2
Atomic Mass
Go Atomic Mass = Total Mass of Proton+Total Mass of Neutron
Number of Electrons in nth Shell
Go Number of Electrons in nth Shell = (2*(Quantum Number^2))
Number of Orbitals in nth Shell
Go Number of Orbitals in nth Shell = (Quantum Number^2)
Orbital Frequency of Electron
Go Orbital Frequency = 1/Time Period of Electron

12 Important Formulas on Bohr's Atomic Model Calculators

Change in Wave Number of Moving Particle
Go Wave Number of moving Particle = 1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)/((Final Quantum Number^2)*(Initial Quantum Number^2))
Radius of Bohr's Orbit
Go Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2))
Internal Energy of Ideal Gas using Law of Equipartition Energy
Go Internal Molar Energy given EP = (Degree of Freedom/2)*Number of Moles*[R]*Temperature of Gas
Velocity of Electron given Time Period of Electron
Go Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron
Angular Momentum using Radius of Orbit
Go Angular Momentum using Radius Orbit = Atomic Mass*Velocity*Radius of Orbit
Radius of Bohr's Orbit given Atomic Number
Go Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number
Energy of Electron in Final Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Final Quantum Number^2)))
Energy of Electron in Initial Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Initial Orbit^2)))
Atomic Mass
Go Atomic Mass = Total Mass of Proton+Total Mass of Neutron
Number of Electrons in nth Shell
Go Number of Electrons in nth Shell = (2*(Quantum Number^2))
Number of Orbitals in nth Shell
Go Number of Orbitals in nth Shell = (Quantum Number^2)
Orbital Frequency of Electron
Go Orbital Frequency = 1/Time Period of Electron

Velocity of Electron given Time Period of Electron Formula

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

What is Bohr's model?

In the Bohr model of an atom, an electron revolves around the center of mass of the electron and the nucleus. Even a single proton has 1836 times the mass of an electron so the electron essentially revolves about the center of the nucleus.
That model does a marvelous job of explaining the wavelengths of the spectrum of hydrogen. The relative errors in the calculated wavelengths of the spectrum are typically on the order of a few tenths of a percent. The basis for Bohr's model of an atom is that the angular momentum of an electron is an integer multiple of Planck's Constant divided by 2ฯ€, h.

How to Calculate Velocity of Electron given Time Period of Electron?

Velocity of Electron given Time Period of Electron calculator uses Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron to calculate the Velocity of Electron given Time, The Velocity of electron given time period of electron is a vector quantity (it has both magnitude and direction) and is the time rate of change of position (of a particle). Velocity of Electron given Time is denoted by velectron symbol.

How to calculate Velocity of Electron given Time Period of Electron using this online calculator? To use this online calculator for Velocity of Electron given Time Period of Electron, enter Radius of Orbit (rorbit) & Time Period of Electron (T) and hit the calculate button. Here is how the Velocity of Electron given Time Period of Electron calculation can be explained with given input values -> 7.2E-10 = (2*pi*1E-07)/875.

FAQ

What is Velocity of Electron given Time Period of Electron?
The Velocity of electron given time period of electron is a vector quantity (it has both magnitude and direction) and is the time rate of change of position (of a particle) and is represented as velectron = (2*pi*rorbit)/T or Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron. Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface & Time Period of Electron is the time to complete one revolution of electron in orbit.
How to calculate Velocity of Electron given Time Period of Electron?
The Velocity of electron given time period of electron is a vector quantity (it has both magnitude and direction) and is the time rate of change of position (of a particle) is calculated using Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron. To calculate Velocity of Electron given Time Period of Electron, you need Radius of Orbit (rorbit) & Time Period of Electron (T). With our tool, you need to enter the respective value for Radius of Orbit & Time Period of Electron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
โœ–
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!