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Radius of the nth Bohr’s Orbit Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius = (Value of n^2*0.529*10^(-10))/Atomic number
r = (n^2*0.529*10^(-10))/Z
This formula uses 2 Variables
Variables Used
Value of n- Value of n is the index value of position 'n' in a series or a sequence.
Atomic number- Atomic number is the number of protons present inside the nucleus of an atom of an element.
STEP 1: Convert Input(s) to Base Unit
Value of n: 1 --> 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 --> (1^2*0.529*10^(-10))/17
Evaluating ... ...
r = 3.11176470588235E-12
STEP 3: Convert Result to Output's Unit
3.11176470588235E-12 Meter -->3.11176470588235E-10 Centimeter (Check conversion here)
FINAL ANSWER
3.11176470588235E-10 Centimeter <-- Radius
(Calculation completed in 00.000 seconds)

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Spacing Between the Atomic Lattice Planes in X-ray Diffraction
interplanar_spacing = (Order of the reflection*Wavelength of X ray)/(2*sin(Angle b/w incident and reflected X-Ray)) Go
Wavelength in X-ray Diffraction
wavelength_x_ray = (2*Interplanar spacing*sin(Angle b/w incident and reflected X-Ray))/Order of the reflection Go
Angle Between Incident Ray and Scattering Planes in X-ray Diffraction
angle_incident_reflected_xray = asin((Order of the reflection*Wavelength of X ray)/(2*Interplanar spacing)) Go
Wavelength of Emitted Radiation for Transition from nth to mth State
wavelength = [Rydberg]*Atomic number^2*(1/(nth state^2)-(1/mth state^2)) Go
Quantization of the Angular Momentum
quantization_angular_momentum = ((Number A)*Planck Constant)/(2*pi) Go
Moseley’s Law
mos_law = (constants)*((Atomic Weight)-(constant)) Go
Energy in nth Bohr’s Orbit
energy_bohr = -13.6*((Atomic number)^2)/((No of level in the orbit)^2) Go
Minimum Wavelength in X-ray Spectrum
wavelength = Plancks Constant*3*10^8/1.60217662*10^-19*Voltage Go
Radius of the nth Bohr’s Orbit
radius = (Value of n^2*0.529*10^(-10))/Atomic number Go
Photon Energy in State Transition
photon_energy = Plancks Constant*frequency Go

Radius of the nth Bohr’s Orbit Formula

radius = (Value of n^2*0.529*10^(-10))/Atomic number
r = (n^2*0.529*10^(-10))/Z

what is Bohr's Model

The Bohr model of the atom, a radical departure from earlier, classical descriptions, was the first that incorporated quantum theory and was the predecessor of wholly quantum-mechanical models.

How to Calculate Radius of the nth Bohr’s Orbit?

Radius of the nth Bohr’s Orbit calculator uses radius = (Value of n^2*0.529*10^(-10))/Atomic number to calculate the Radius, The Radius of the nth Bohr’s Orbit formula is defined as The Bohr radius for nth orbital is given by, a=n^2×ao. where ao= radius of ground state of hydrogen atom=0.53 angstrom. Radius and is denoted by r symbol.

How to calculate Radius of the nth Bohr’s Orbit using this online calculator? To use this online calculator for Radius of the nth Bohr’s Orbit, enter Value of n (n) and Atomic number (Z) and hit the calculate button. Here is how the Radius of the nth Bohr’s Orbit calculation can be explained with given input values -> 3.112E-10 = (1^2*0.529*10^(-10))/17.

FAQ

What is Radius of the nth Bohr’s Orbit?
The Radius of the nth Bohr’s Orbit formula is defined as The Bohr radius for nth orbital is given by, a=n^2×ao. where ao= radius of ground state of hydrogen atom=0.53 angstrom and is represented as r = (n^2*0.529*10^(-10))/Z or radius = (Value of n^2*0.529*10^(-10))/Atomic number. Value of n is the index value of position 'n' in a series or a sequence and Atomic number is the number of protons present inside the nucleus of an atom of an element.
How to calculate Radius of the nth Bohr’s Orbit?
The Radius of the nth Bohr’s Orbit formula is defined as The Bohr radius for nth orbital is given by, a=n^2×ao. where ao= radius of ground state of hydrogen atom=0.53 angstrom is calculated using radius = (Value of n^2*0.529*10^(-10))/Atomic number. To calculate Radius of the nth Bohr’s Orbit, you need Value of n (n) and Atomic number (Z). With our tool, you need to enter the respective value for Value of n and Atomic 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?
In this formula, Radius uses Value of n and Atomic number. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • energy_bohr = -13.6*((Atomic number)^2)/((No of level in the orbit)^2)
  • radius = (Value of n^2*0.529*10^(-10))/Atomic number
  • quantization_angular_momentum = ((Number A)*Planck Constant)/(2*pi)
  • photon_energy = Plancks Constant*frequency
  • wavelength = [Rydberg]*Atomic number^2*(1/(nth state^2)-(1/mth state^2))
  • wavelength = Plancks Constant*3*10^8/1.60217662*10^-19*Voltage
  • mos_law = (constants)*((Atomic Weight)-(constant))
  • wavelength_x_ray = (2*Interplanar spacing*sin(Angle b/w incident and reflected X-Ray))/Order of the reflection
  • interplanar_spacing = (Order of the reflection*Wavelength of X ray)/(2*sin(Angle b/w incident and reflected X-Ray))
  • angle_incident_reflected_xray = asin((Order of the reflection*Wavelength of X ray)/(2*Interplanar spacing))
Where is the Radius of the nth Bohr’s Orbit calculator used?
Among many, Radius of the nth Bohr’s Orbit calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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