Velocity of Particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity = (Quantum Number*[hP])/(Mass in Dalton*Radius in Nanometer*2*pi)
v = (nquantum*[hP])/(M*R*2*pi)
This formula uses 2 Constants, 4 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
Mass in Dalton - (Measured in Kilogram) - Mass in Dalton is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Radius in Nanometer - (Measured in Meter) - Radius in Nanometer is a radial line from the focus to any point of a curve.
STEP 1: Convert Input(s) to Base Unit
Quantum Number: 8 --> No Conversion Required
Mass in Dalton: 35 Dalton --> 5.81185500034244E-26 Kilogram (Check conversion here)
Radius in Nanometer: 14.5 Nanometer --> 1.45E-08 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = (nquantum*[hP])/(M*R*2*pi) --> (8*[hP])/(5.81185500034244E-26*1.45E-08*2*pi)
Evaluating ... ...
v = 1.00111361567666
STEP 3: Convert Result to Output's Unit
1.00111361567666 Meter per Second --> No Conversion Required
FINAL ANSWER
1.00111361567666 1.001114 Meter per Second <-- Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

Velocity of Particle Formula

Velocity = (Quantum Number*[hP])/(Mass in Dalton*Radius in Nanometer*2*pi)
v = (nquantum*[hP])/(M*R*2*pi)

What is Bohr's theory?

Bohr's theory is a theory for the hydrogen atom based on quantum theory that energy is transferred only in certain well defined quantities.

How to Calculate Velocity of Particle?

Velocity of Particle calculator uses Velocity = (Quantum Number*[hP])/(Mass in Dalton*Radius in Nanometer*2*pi) to calculate the Velocity, The Velocity of Particle formula is defined as the distance covered by the particle in unit time about the nucleus of the atom. Velocity is denoted by v symbol.

How to calculate Velocity of Particle using this online calculator? To use this online calculator for Velocity of Particle, enter Quantum Number (nquantum), Mass in Dalton (M) & Radius in Nanometer (R) and hit the calculate button. Here is how the Velocity of Particle calculation can be explained with given input values -> 1.001114 = (8*[hP])/(5.81185500034244E-26*1.45E-08*2*pi).

FAQ

What is Velocity of Particle?
The Velocity of Particle formula is defined as the distance covered by the particle in unit time about the nucleus of the atom and is represented as v = (nquantum*[hP])/(M*R*2*pi) or Velocity = (Quantum Number*[hP])/(Mass in Dalton*Radius in Nanometer*2*pi). Quantum Number describe values of conserved quantities in the dynamics of a quantum system, Mass in Dalton is the quantity of matter in a body regardless of its volume or of any forces acting on it & Radius in Nanometer is a radial line from the focus to any point of a curve.
How to calculate Velocity of Particle?
The Velocity of Particle formula is defined as the distance covered by the particle in unit time about the nucleus of the atom is calculated using Velocity = (Quantum Number*[hP])/(Mass in Dalton*Radius in Nanometer*2*pi). To calculate Velocity of Particle, you need Quantum Number (nquantum), Mass in Dalton (M) & Radius in Nanometer (R). With our tool, you need to enter the respective value for Quantum Number, Mass in Dalton & Radius in Nanometer 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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