Energy in Nth Bohr's Orbit Calculator

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✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%
✖Number of Level in Orbit is the orbit in which the electron's revolve.ⓘ Number of Level in Orbit [n_level]			+10% -10%

✖Energy in nth Bohr's Unit is the energy of the moving electron in the nth energy levels obtained in the Bohr's model.ⓘ Energy in Nth Bohr's Orbit [E_n]

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Formula

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Energy in Nth Bohr's Orbit

Formula

`"E"_{"n"} = -13.6*("Z"^2)/("n"_{"level"}^2)`

Example

`"-2.7E^21eV"=-13.6*(("17")^2)/(("3")^2)`

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Energy in Nth Bohr's Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy in nth Bohr's Unit = -13.6*(Atomic Number^2)/(Number of Level in Orbit^2)
E_n = -13.6*(Z^2)/(n_level^2)
This formula uses 3 Variables

Variables Used

Energy in nth Bohr's Unit - (Measured in Joule) - Energy in nth Bohr's Unit is the energy of the moving electron in the nth energy levels obtained in the Bohr's model.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
Number of Level in Orbit - Number of Level in Orbit is the orbit in which the electron's revolve.

STEP 1: Convert Input(s) to Base Unit

Atomic Number: 17 --> No Conversion Required
Number of Level in Orbit: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_n = -13.6*(Z^2)/(n_level^2) --> -13.6*(17^2)/(3^2)

Evaluating ... ...

E_n = -436.711111111111

STEP 3: Convert Result to Output's Unit

-436.711111111111 Joule -->-2.72573517883385E+21 Electron-Volt (Check conversion here)

FINAL ANSWER

-2.72573517883385E+21 ≈ -2.7E+21 Electron-Volt <-- Energy in nth Bohr's Unit

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Guwahati

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Go Wavelength = [Rydberg]*Atomic Number^2*(1/Energy State n1^2-1/Energy State n2^2)

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Go Quantization of Angular Momentum = (Quantum Number*Plancks Constant)/(2*pi)

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Go Moseley Law = Constant A*(Atomic Weight-Constant B)

Energy in Nth Bohr's Orbit

Go Energy in nth Bohr's Unit = -13.6*(Atomic Number^2)/(Number of Level in Orbit^2)

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Go Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number

Minimum Wavelength in X-ray Spectrum

Go Wavelength = Plancks Constant*3*10^8/(1.60217662*10^-19*Voltage)

Photon Energy in State Transition

Go Energy of Photon = Plancks Constant*Frequency of Photon

Energy in Nth Bohr's Orbit Formula

Energy in nth Bohr's Unit = -13.6*(Atomic Number^2)/(Number of Level in Orbit^2)
E_n = -13.6*(Z^2)/(n_level^2)

what is Bohr's atomic theory?

Niel Bohr’s Atomic Theory states that – an atom is like a planetary model where electrons were situated in discretely energized orbits. The atom would radiate a photon when an excited electron would jump down from a higher orbit to a lower orbit. The difference between the energies of those orbits would be equal to the energy of the photon.

How to Calculate Energy in Nth Bohr's Orbit?

Energy in Nth Bohr's Orbit calculator uses Energy in nth Bohr's Unit = -13.6*(Atomic Number^2)/(Number of Level in Orbit^2) to calculate the Energy in nth Bohr's Unit, The Energy in nth Bohr's Orbit formula is defined as results only for a system where two charged points orbit each other at speeds much less than that of light. Energy in nth Bohr's Unit is denoted by E_n symbol.

How to calculate Energy in Nth Bohr's Orbit using this online calculator? To use this online calculator for Energy in Nth Bohr's Orbit, enter Atomic Number (Z) & Number of Level in Orbit (n_level) and hit the calculate button. Here is how the Energy in Nth Bohr's Orbit calculation can be explained with given input values -> -1.7E+40 = -13.6*(17^2)/(3^2).

FAQ

What is Energy in Nth Bohr's Orbit?

The Energy in nth Bohr's Orbit formula is defined as results only for a system where two charged points orbit each other at speeds much less than that of light and is represented as E_n = -13.6*(Z^2)/(n_level^2) or Energy in nth Bohr's Unit = -13.6*(Atomic Number^2)/(Number of Level in Orbit^2). Atomic Number is the number of protons present inside the nucleus of an atom of an element & Number of Level in Orbit is the orbit in which the electron's revolve.

How to calculate Energy in Nth Bohr's Orbit?

The Energy in nth Bohr's Orbit formula is defined as results only for a system where two charged points orbit each other at speeds much less than that of light is calculated using Energy in nth Bohr's Unit = -13.6*(Atomic Number^2)/(Number of Level in Orbit^2). To calculate Energy in Nth Bohr's Orbit, you need Atomic Number (Z) & Number of Level in Orbit (n_level). With our tool, you need to enter the respective value for Atomic Number & Number of Level in 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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