✖Quantum Number is a discrete value that characterizes the energy levels of electrons in atoms, used to describe the energy, shape, and orientation of an electron's orbit around the nucleus.ⓘ Quantum Number [n]			+10% -10%
✖Atomic Number is a measure of the number of protons present in the nucleus of an atom, which determines the identity of a chemical element.ⓘ Atomic Number [Z]			+10% -10%

✖Radius of nth Orbit is the distance from the center of the orbit to the nth point on the orbit, which is a crucial parameter in understanding the motion of objects in circular paths.ⓘ Radius of Nth Bohr's Orbit [r]

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Formula

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Radius of Nth Bohr's Orbit

Formula

`"r" = ("n"^2*0.529*10^(-10))/"Z"`

Example

`"1.4E^-9m"=(("20.9")^2*0.529*10^(-10))/"17"`

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Radius of Nth Bohr's Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number
r = (n^2*0.529*10^(-10))/Z
This formula uses 3 Variables

Variables Used

Radius of nth Orbit - (Measured in Meter) - Radius of nth Orbit is the distance from the center of the orbit to the nth point on the orbit, which is a crucial parameter in understanding the motion of objects in circular paths.
Quantum Number - Quantum Number is a discrete value that characterizes the energy levels of electrons in atoms, used to describe the energy, shape, and orientation of an electron's orbit around the nucleus.
Atomic Number - Atomic Number is a measure of the number of protons present in the nucleus of an atom, which determines the identity of a chemical element.

STEP 1: Convert Input(s) to Base Unit

Quantum Number: 20.9 --> No Conversion Required
Atomic Number: 17 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (n^2*0.529*10^(-10))/Z --> (20.9^2*0.529*10^(-10))/17

Evaluating ... ...

r = 1.35924994117647E-09

STEP 3: Convert Result to Output's Unit

1.35924994117647E-09 Meter --> No Conversion Required

FINAL ANSWER

1.35924994117647E-09 ≈ 1.4E-9 Meter <-- Radius of nth Orbit

(Calculation completed in 00.004 seconds)

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Radius of Nth Bohr's Orbit

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

Radius of Nth Bohr's Orbit Formula

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

What is Bohr's Model?

Bohr's model is a theoretical framework for understanding the structure of the atom, proposed by Niels Bohr in 1913. It describes the atom as having a central nucleus surrounded by electrons that orbit in fixed paths or energy levels. Electrons can only occupy certain allowed orbits without radiating energy, and energy is emitted or absorbed when an electron transitions between these levels. This model successfully explains the hydrogen atom's spectral lines and laid the foundation for modern quantum mechanics.

How to Calculate Radius of Nth Bohr's Orbit?

Radius of Nth Bohr's Orbit calculator uses Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number to calculate the Radius of nth Orbit, Radius of Nth Bohr's Orbit formula is defined as the distance of the nth energy level from the nucleus of an atom in the Bohr model, which is a fundamental concept in atomic physics, describing the energy levels of electrons in an atom. Radius of nth Orbit is denoted by r symbol.

How to calculate Radius of Nth Bohr's Orbit using this online calculator? To use this online calculator for Radius of Nth Bohr's Orbit, enter Quantum Number (n) & Atomic Number (Z) and hit the calculate button. Here is how the Radius of Nth Bohr's Orbit calculation can be explained with given input values -> 1.4E-9 = (20.9^2*0.529*10^(-10))/17.

FAQ

What is Radius of Nth Bohr's Orbit?

Radius of Nth Bohr's Orbit formula is defined as the distance of the nth energy level from the nucleus of an atom in the Bohr model, which is a fundamental concept in atomic physics, describing the energy levels of electrons in an atom and is represented as r = (n^2*0.529*10^(-10))/Z or Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number. Quantum Number is a discrete value that characterizes the energy levels of electrons in atoms, used to describe the energy, shape, and orientation of an electron's orbit around the nucleus & Atomic Number is a measure of the number of protons present in the nucleus of an atom, which determines the identity of a chemical element.

How to calculate Radius of Nth Bohr's Orbit?

Radius of Nth Bohr's Orbit formula is defined as the distance of the nth energy level from the nucleus of an atom in the Bohr model, which is a fundamental concept in atomic physics, describing the energy levels of electrons in an atom is calculated using Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number. To calculate Radius of Nth Bohr's Orbit, you need Quantum Number (n) & Atomic Number (Z). With our tool, you need to enter the respective value for Quantum Number & Atomic Number 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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