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Radius of orbit when kinetic energy of electron is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius_of_orbit = (Atomic number*([Charge-e]^2))/(2*Kinetic Energy)
r = (Z*([Charge-e]^2))/(2*KE)
This formula uses 2 Constants, 1 Functions, 2 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
Functions Used
C - Binomial coefficient function, C(n,k)
Variables Used
Atomic number- Atomic number is the number of protons present inside the nucleus of an atom of an element.
Kinetic Energy - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. (Measured in Joule)
STEP 1: Convert Input(s) to Base Unit
Atomic number: 17 --> No Conversion Required
Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (Z*([Charge-e]^2))/(2*KE) --> (17*([Charge-e]^2))/(2*75)
Evaluating ... ...
r = 2.90923257789791E-39
STEP 3: Convert Result to Output's Unit
2.90923257789791E-39 Meter -->2.90923257789791E-29 Angstrom (Check conversion here)
FINAL ANSWER
2.90923257789791E-29 Angstrom <-- Radius of orbit
(Calculation completed in 00.016 seconds)

10+ Structure of atom Calculators

Mass of moving electron
mass_of_moving_electron = Rest mass of electron/sqrt(1-((Velocity of electron/[c])^2)) Go
Kinetic Energy of an Electron
energy = -2.178*10^-18*(Atomic number)^2/(Quantum Number)^2 Go
Kinetic Energy In Electron Volts.
energy_ev = -13.6*(Atomic number)^2/(Quantum Number)^2 Go
Potential Energy In Electron Volts.
energy_ev = 6.8*(Atomic number)^2/(Quantum Number)^2 Go
Total Energy In Electron Volts
energy_ev = 6.8*(Atomic number)^2/(Quantum Number)^2 Go
Mass number
mass_number = Number of Protons+Number of Neutrons Go
Number of neutrons
number_of_neutrons = Mass number-Atomic number Go
Electric charge
charge = Number of electron*[Charge-e] Go
Specific charge
specific_charge = Charge/[Mass-e] Go
Wave number of electromagnetic wave
wave_number_of_wave = 1/Wavelength Go

Radius of orbit when kinetic energy of electron is given Formula

radius_of_orbit = (Atomic number*([Charge-e]^2))/(2*Kinetic Energy)
r = (Z*([Charge-e]^2))/(2*KE)

What is Bohr's model of a particle?

Bohr's theory is a theory of atomic structure in which the hydrogen atom (Bohr atom E) 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 when kinetic energy of electron is given?

Radius of orbit when kinetic energy of electron is given calculator uses radius_of_orbit = (Atomic number*([Charge-e]^2))/(2*Kinetic Energy) to calculate the Radius of orbit, The Radius of orbit when kinetic energy of electron is given is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom. Radius of orbit and is denoted by r symbol.

How to calculate Radius of orbit when kinetic energy of electron is given using this online calculator? To use this online calculator for Radius of orbit when kinetic energy of electron is given, enter Atomic number (Z) and Kinetic Energy (KE) and hit the calculate button. Here is how the Radius of orbit when kinetic energy of electron is given calculation can be explained with given input values -> 2.909E-29 = (17*([Charge-e]^2))/(2*75).

FAQ

What is Radius of orbit when kinetic energy of electron is given?
The Radius of orbit when kinetic energy of electron is given is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom and is represented as r = (Z*([Charge-e]^2))/(2*KE) or radius_of_orbit = (Atomic number*([Charge-e]^2))/(2*Kinetic Energy). Atomic number is the number of protons present inside the nucleus of an atom of an element and Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
How to calculate Radius of orbit when kinetic energy of electron is given?
The Radius of orbit when kinetic energy of electron is given 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 = (Atomic number*([Charge-e]^2))/(2*Kinetic Energy). To calculate Radius of orbit when kinetic energy of electron is given, you need Atomic number (Z) and Kinetic Energy (KE). With our tool, you need to enter the respective value for Atomic number and Kinetic Energy 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 Atomic number and Kinetic Energy. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • mass_number = Number of Protons+Number of Neutrons
  • number_of_neutrons = Mass number-Atomic number
  • charge = Number of electron*[Charge-e]
  • wave_number_of_wave = 1/Wavelength
  • energy_ev = -13.6*(Atomic number)^2/(Quantum Number)^2
  • energy_ev = 6.8*(Atomic number)^2/(Quantum Number)^2
  • energy_ev = 6.8*(Atomic number)^2/(Quantum Number)^2
  • specific_charge = Charge/[Mass-e]
  • mass_of_moving_electron = Rest mass of electron/sqrt(1-((Velocity of electron/[c])^2))
  • energy = -2.178*10^-18*(Atomic number)^2/(Quantum Number)^2
Where is the Radius of orbit when kinetic energy of electron is given calculator used?
Among many, Radius of orbit when kinetic energy of electron is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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