Radius of Bohr's Orbit for Hydrogen Atom Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))
rorbit_AV = ((nquantum^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))
This formula uses 5 Constants, 2 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Coulomb] - Coulomb constant Value Taken As 8.9875E+9
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31
[hP] - Planck constant Value Taken As 6.626070040E-34
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Radius of Orbit given AV - (Measured in Meter) - Radius of Orbit given AV is the distance from the center of orbit of an electron to a point on its surface.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
STEP 1: Convert Input(s) to Base Unit
Quantum Number: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rorbit_AV = ((nquantum^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2)) --> ((8^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))
Evaluating ... ...
rorbit_AV = 3.38673414913228E-09
STEP 3: Convert Result to Output's Unit
3.38673414913228E-09 Meter -->3.38673414913228 Nanometer (Check conversion here)
FINAL ANSWER
3.38673414913228 3.386734 Nanometer <-- Radius of Orbit given AV
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Verified by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
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8 Radius of Bohr's Orbit Calculators

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))
Radius of Orbit
Go Radius of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity)
Radius of Bohr's Orbit for Hydrogen Atom
Go Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))
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
Bohr's Radius
Go Bohr Radius of an Atom = (Quantum Number/Atomic Number)*0.529*10^(-10)
Radius of Orbit given Angular Velocity
Go Radius of Orbit given AV = Velocity of Electron/Angular Velocity
Frequency using Energy
Go Frequency using Energy = 2*Energy of Atom/[hP]

Radius of Bohr's Orbit for Hydrogen Atom Formula

Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))
rorbit_AV = ((nquantum^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))

What is Bohr's theory?

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 Radius of Bohr's Orbit for Hydrogen Atom?

Radius of Bohr's Orbit for Hydrogen Atom calculator uses Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2)) to calculate the Radius of Orbit given AV, The Radius of Bohr's Orbit for Hydrogen Atom is defined as a physical constant, expressing the most probable distance between the electron and the nucleus in a Hydrogen atom(Z=1). Radius of Orbit given AV is denoted by rorbit_AV symbol.

How to calculate Radius of Bohr's Orbit for Hydrogen Atom using this online calculator? To use this online calculator for Radius of Bohr's Orbit for Hydrogen Atom, enter Quantum Number (nquantum) and hit the calculate button. Here is how the Radius of Bohr's Orbit for Hydrogen Atom calculation can be explained with given input values -> 3.4E+9 = ((8^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2)).

FAQ

What is Radius of Bohr's Orbit for Hydrogen Atom?
The Radius of Bohr's Orbit for Hydrogen Atom is defined as a physical constant, expressing the most probable distance between the electron and the nucleus in a Hydrogen atom(Z=1) and is represented as rorbit_AV = ((nquantum^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2)) or Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2)). Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
How to calculate Radius of Bohr's Orbit for Hydrogen Atom?
The Radius of Bohr's Orbit for Hydrogen Atom is defined as a physical constant, expressing the most probable distance between the electron and the nucleus in a Hydrogen atom(Z=1) is calculated using Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2)). To calculate Radius of Bohr's Orbit for Hydrogen Atom, you need Quantum Number (nquantum). With our tool, you need to enter the respective value for Quantum Number 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 given AV?
In this formula, Radius of Orbit given AV uses Quantum Number. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radius of Orbit given AV = Velocity of Electron/Angular Velocity
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