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Radius of Nth Bohr's Orbit Formula

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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. Check FAQs

r = \frac{n^{2} \cdot 0.529 \cdot 10^{- 10}}{Z}

r - Radius of nth Orbit?n - Quantum Number?Z - Atomic Number?

Radius of Nth Bohr's Orbit Example

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Here is how the Radius of Nth Bohr's Orbit equation looks like with Values.

Here is how the Radius of Nth Bohr's Orbit equation looks like with Units.

Here is how the Radius of Nth Bohr's Orbit equation looks like.

1.4E-9 = \frac{{20.9}^{2} \cdot 0.529 \cdot 10^{- 10}}{17}

1.4E-9m = \frac{{20.9}^{2} \cdot 0.529 \cdot 10^{- 10}}{17}

1.4E-9 = \frac{{20.9}^{2} \cdot 0.529 \cdot 10^{- 10}}{17}

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Radius of Nth Bohr's Orbit Solution

Follow our step by step solution on how to calculate Radius of Nth Bohr's Orbit?

FIRST Step Consider the formula

r = \frac{n^{2} \cdot 0.529 \cdot 10^{- 10}}{Z}

Next Step Substitute values of Variables

∴

r = \frac{{20.9}^{2} \cdot 0.529 \cdot 10^{- 10}}{17}

Next Step Prepare to Evaluate

∴

r = \frac{{20.9}^{2} \cdot 0.529 \cdot 10^{- 10}}{17}

Next Step Evaluate

∴

r = 1.35924994117647E-09m

LAST Step Rounding Answer

∴

r = 1.4E-9m

Radius of Nth Bohr's Orbit Formula Elements

Variables

Radius of nth Orbit

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.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of nth Orbit

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.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quantum Number

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.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Atomic Number

Other formulas in Atomic Structure category

Go Energy in Nth Bohr's Orbit

E n = - \frac{13.6 \cdot (Z^{2})}{{n level}^{2}}

Go Quantization of Angular Momentum

l Q = \frac{n \cdot h}{2 \cdot π}

Go Photon Energy in State Transition

E γ = h \cdot v photon

Go Wavelength of Emitted Radiation for Transition between States

λ = \frac{1}{[Rydberg] \cdot Z^{2} \cdot (\frac{1}{{N 1}^{2}} - \frac{1}{{N 2}^{2}})}

How to Evaluate Radius of Nth Bohr's Orbit?

Radius of Nth Bohr's Orbit evaluator uses Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number to evaluate 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 evaluate Radius of Nth Bohr's Orbit using this online evaluator? To use this online evaluator for Radius of Nth Bohr's Orbit, enter Quantum Number (n) & Atomic Number (Z) and hit the calculate button.

FAQs on Radius of Nth Bohr's Orbit

What is the formula to find Radius of Nth Bohr's Orbit?

The formula of Radius of Nth Bohr's Orbit is expressed as Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number. Here is an example- 1.4E-9 = (20.9^2*0.529*10^(-10))/17.

How to calculate Radius of Nth Bohr's Orbit?

With Quantum Number (n) & Atomic Number (Z) we can find Radius of Nth Bohr's Orbit using the formula - Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number.

Can the Radius of Nth Bohr's Orbit be negative?

No, the Radius of Nth Bohr's Orbit, measured in Length cannot be negative.

Which unit is used to measure Radius of Nth Bohr's Orbit?

Radius of Nth Bohr's Orbit is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Nth Bohr's Orbit can be measured.

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