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Radius of Bohr's Orbit for Hydrogen Atom Calculator

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Radius of Bohr's Orbit Electrons and Orbits Hydrogen Spectrum

✖Quantum Number describe values of conserved quantities in the dynamics of a quantum system.ⓘ Quantum Number [n_quantum]

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✖Radius of Orbit given AV is the distance from the center of orbit of an electron to a point on its surface.ⓘ Radius of Bohr's Orbit for Hydrogen Atom [r_{orbit_AV}]

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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))
r_{orbit_AV} = ((n_quantum^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

r_{orbit_AV} = ((n_quantum^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 ... ...

r_{orbit_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)

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National Institute of Information Technology (NIIT), Neemrana

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< Radius of Bohr's Orbit Calculators

Radius of Bohr's Orbit

LaTeX Go Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2))

Radius of Bohr's Orbit for Hydrogen Atom

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

Radius of Bohr's Orbit given Atomic Number

LaTeX Go Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number

Radius of Orbit given Angular Velocity

LaTeX Go Radius of Orbit given AV = Velocity of Electron/Angular Velocity

Radius of Bohr's Orbit for Hydrogen Atom Formula

LaTeX Go

Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))
r_{orbit_AV} = ((n_quantum^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 r_{orbit_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 (n_quantum) 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 r_{orbit_AV} = ((n_quantum^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 (n_quantum). 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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