Kinetic Energy of Electron given Atomic number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy of Photon given frequency = (Atomic Number*([Charge-e]^2))/(2*Radius of Orbit)
Efreq = (Z*([Charge-e]^2))/(2*rorbit)
This formula uses 1 Constants, 3 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
Variables Used
Energy of Photon given frequency - (Measured in Joule) - Energy of Photon given frequency is the energy carried by a single photon. It is denoted by E.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
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.
STEP 1: Convert Input(s) to Base Unit
Atomic Number: 17 --> No Conversion Required
Radius of Orbit: 100 Nanometer --> 1E-07 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Efreq = (Z*([Charge-e]^2))/(2*rorbit) --> (17*([Charge-e]^2))/(2*1E-07)
Evaluating ... ...
Efreq = 2.18192443342343E-30
STEP 3: Convert Result to Output's Unit
2.18192443342343E-30 Joule --> No Conversion Required
FINAL ANSWER
2.18192443342343E-30 โ‰ˆ 2.2E-30 Joule <-- Energy of Photon given frequency
(Calculation completed in 00.020 seconds)

Credits

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

Kinetic Energy of Electron given Atomic number Formula

Energy of Photon given frequency = (Atomic Number*([Charge-e]^2))/(2*Radius of Orbit)
Efreq = (Z*([Charge-e]^2))/(2*rorbit)

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 Kinetic Energy of Electron given Atomic number?

Kinetic Energy of Electron given Atomic number calculator uses Energy of Photon given frequency = (Atomic Number*([Charge-e]^2))/(2*Radius of Orbit) to calculate the Energy of Photon given frequency, The Kinetic energy of electron given atomic number is defined as kinetic energy consumed by a moving particle when it moves from one point to another. Energy of Photon given frequency is denoted by Efreq symbol.

How to calculate Kinetic Energy of Electron given Atomic number using this online calculator? To use this online calculator for Kinetic Energy of Electron given Atomic number, enter Atomic Number (Z) & Radius of Orbit (rorbit) and hit the calculate button. Here is how the Kinetic Energy of Electron given Atomic number calculation can be explained with given input values -> 2.2E-30 = (17*([Charge-e]^2))/(2*1E-07).

FAQ

What is Kinetic Energy of Electron given Atomic number?
The Kinetic energy of electron given atomic number is defined as kinetic energy consumed by a moving particle when it moves from one point to another and is represented as Efreq = (Z*([Charge-e]^2))/(2*rorbit) or Energy of Photon given frequency = (Atomic Number*([Charge-e]^2))/(2*Radius of Orbit). Atomic Number is the number of protons present inside the nucleus of an atom of an element & Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.
How to calculate Kinetic Energy of Electron given Atomic number?
The Kinetic energy of electron given atomic number is defined as kinetic energy consumed by a moving particle when it moves from one point to another is calculated using Energy of Photon given frequency = (Atomic Number*([Charge-e]^2))/(2*Radius of Orbit). To calculate Kinetic Energy of Electron given Atomic number, you need Atomic Number (Z) & Radius of Orbit (rorbit). With our tool, you need to enter the respective value for Atomic Number & Radius of Orbit 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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