Mass of Moving Electron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass of Moving Electron = Rest Mass of Electron/sqrt(1-((Velocity of Electron/[c])^2))
m = m0/sqrt(1-((ve/[c])^2))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[c] - Light speed in vacuum Value Taken As 299792458.0
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Mass of Moving Electron - (Measured in Kilogram) - Mass of Moving Electron is the mass of an electron, moving with some velocity.
Rest Mass of Electron - (Measured in Kilogram) - Rest Mass of Electron is the mass of a stationary electron, also known as the invariant mass of the electron.
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
Rest Mass of Electron: 2.65 Dalton --> 4.40040450025928E-27 Kilogram (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
m = m0/sqrt(1-((ve/[c])^2)) --> 4.40040450025928E-27/sqrt(1-((36/[c])^2))
Evaluating ... ...
m = 4.40040450025931E-27
STEP 3: Convert Result to Output's Unit
4.40040450025931E-27 Kilogram -->2.65000000000002 Dalton (Check conversion here)
FINAL ANSWER
2.65000000000002 โ‰ˆ 2.65 Dalton <-- Mass of Moving Electron
(Calculation completed in 00.004 seconds)
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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

Mass of Moving Electron Formula

Mass of Moving Electron = Rest Mass of Electron/sqrt(1-((Velocity of Electron/[c])^2))
m = m0/sqrt(1-((ve/[c])^2))

What is mass of moving electron?

The mass of a moving electron, also known as relativistic mass is the mass of an electron moving with some velocity as it approaches the speed of light. As the velocity of the electron increases, the specific charge of the electron decreases due to the increase of the relative mass of the electron.

How to Calculate Mass of Moving Electron?

Mass of Moving Electron calculator uses Mass of Moving Electron = Rest Mass of Electron/sqrt(1-((Velocity of Electron/[c])^2)) to calculate the Mass of Moving Electron, The Mass of Moving Electron refers to the mass of a body that changes with the speed of the body as this speed approaches close to the speed of light, it increases with velocity and tends to infinity when the velocity approaches the speed of light. Mass of Moving Electron is denoted by m symbol.

How to calculate Mass of Moving Electron using this online calculator? To use this online calculator for Mass of Moving Electron, enter Rest Mass of Electron (m0) & Velocity of Electron (ve) and hit the calculate button. Here is how the Mass of Moving Electron calculation can be explained with given input values -> 1.6E+27 = 4.40040450025928E-27/sqrt(1-((36/[c])^2)).

FAQ

What is Mass of Moving Electron?
The Mass of Moving Electron refers to the mass of a body that changes with the speed of the body as this speed approaches close to the speed of light, it increases with velocity and tends to infinity when the velocity approaches the speed of light and is represented as m = m0/sqrt(1-((ve/[c])^2)) or Mass of Moving Electron = Rest Mass of Electron/sqrt(1-((Velocity of Electron/[c])^2)). Rest Mass of Electron is the mass of a stationary electron, also known as the invariant mass of the electron & The Velocity of Electron is the speed at which the electron moves in a particular orbit.
How to calculate Mass of Moving Electron?
The Mass of Moving Electron refers to the mass of a body that changes with the speed of the body as this speed approaches close to the speed of light, it increases with velocity and tends to infinity when the velocity approaches the speed of light is calculated using Mass of Moving Electron = Rest Mass of Electron/sqrt(1-((Velocity of Electron/[c])^2)). To calculate Mass of Moving Electron, you need Rest Mass of Electron (m0) & Velocity of Electron (ve). With our tool, you need to enter the respective value for Rest Mass 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.
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