Radius of 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 3 Variables
Variables Used
Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.
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: 5 --> 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 --> ((5^2)*0.529*10^(-10))/17
Evaluating ... ...
r = 7.77941176470588E-11
STEP 3: Convert Result to Output's Unit
7.77941176470588E-11 Meter --> No Conversion Required
FINAL ANSWER
7.77941176470588E-11 Meter <-- Radius
(Calculation completed in 00.000 seconds)

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St Joseph's College (SJC), Bengaluru
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Radius of 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 nth Bohr's Orbit?

Radius of nth Bohr's Orbit calculator uses Radius = ((Value of n^2)*0.529*10^(-10))/Atomic Number to calculate the Radius, The Radius of 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 the ground state of hydrogen atom=0.53 angstrom. Radius 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 Value of n (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 -> 7.779E-11 = ((5^2)*0.529*10^(-10))/17.

FAQ

What is Radius of nth Bohr's Orbit?
The Radius of 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 the 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 & Atomic Number is the number of protons present inside the nucleus of an atom of an element.
How to calculate Radius of nth Bohr's Orbit?
The Radius of 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 the 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 nth Bohr's Orbit, you need Value of n (n) & Atomic Number (Z). With our tool, you need to enter the respective value for Value of n & 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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