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Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface. Check FAQs
rorbit=Tve2π
rorbit - Radius of Orbit?T - Time Period of Electron?ve - Velocity of Electron?π - Archimedes' constant?

Radius of Orbit given Time Period of Electron Example

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With units
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Here is how the Radius of Orbit given Time Period of Electron equation looks like with Values.

Here is how the Radius of Orbit given Time Period of Electron equation looks like with Units.

Here is how the Radius of Orbit given Time Period of Electron equation looks like.

5E+12Edit=875Edit36Edit23.1416
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Radius of Orbit given Time Period of Electron Solution

Follow our step by step solution on how to calculate Radius of Orbit given Time Period of Electron?

FIRST Step Consider the formula
rorbit=Tve2π
Next Step Substitute values of Variables
rorbit=875s36m/s2π
Next Step Substitute values of Constants
rorbit=875s36m/s23.1416
Next Step Prepare to Evaluate
rorbit=8753623.1416
Next Step Evaluate
rorbit=5013.3807073947m
Next Step Convert to Output's Unit
rorbit=5013380707394.7nm
LAST Step Rounding Answer
rorbit=5E+12nm

Radius of Orbit given Time Period of Electron Formula Elements

Variables
Constants
Radius of Orbit
Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.
Symbol: rorbit
Measurement: LengthUnit: nm
Note: Value can be positive or negative.
Time Period of Electron
Time Period of Electron is the time to complete one revolution of electron in orbit.
Symbol: T
Measurement: TimeUnit: s
Note: Value can be positive or negative.
Velocity of Electron
The Velocity of Electron is the speed at which the electron moves in a particular orbit.
Symbol: ve
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Radius of Orbit

​Go Radius of Orbit given Kinetic Energy of Electron
rorbit=Z([Charge-e]2)2KE
​Go Radius of Orbit given Potential Energy of Electron
rorbit=(-Z([Charge-e]2)PE)
​Go Radius of Orbit given Total Energy of Electron
rorbit=(-Z([Charge-e]2)2Etotal)

Other formulas in Structure of Atom category

​Go Mass Number
A=p++n0
​Go Number of Neutrons
n0=A-Z
​Go Electric Charge
qe=nelectron[Charge-e]
​Go Wave Number of Electromagnetic Wave
k=1λlightwave

How to Evaluate Radius of Orbit given Time Period of Electron?

Radius of Orbit given Time Period of Electron evaluator uses Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi) to evaluate the Radius of Orbit, The Radius of orbit given time period of electron is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom. Radius of Orbit is denoted by rorbit symbol.

How to evaluate Radius of Orbit given Time Period of Electron using this online evaluator? To use this online evaluator for Radius of Orbit given Time Period of Electron, enter Time Period of Electron (T) & Velocity of Electron (ve) and hit the calculate button.

FAQs on Radius of Orbit given Time Period of Electron

What is the formula to find Radius of Orbit given Time Period of Electron?
The formula of Radius of Orbit given Time Period of Electron is expressed as Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi). Here is an example- 5E+21 = (875*36)/(2*pi).
How to calculate Radius of Orbit given Time Period of Electron?
With Time Period of Electron (T) & Velocity of Electron (ve) we can find Radius of Orbit given Time Period of Electron using the formula - Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi). This formula also uses Archimedes' constant .
What are the other ways to Calculate Radius of Orbit?
Here are the different ways to Calculate Radius of Orbit-
  • Radius of Orbit=(Atomic Number*([Charge-e]^2))/(2*Kinetic Energy)OpenImg
  • Radius of Orbit=(-(Atomic Number*([Charge-e]^2))/Potential Energy of Electron)OpenImg
  • Radius of Orbit=(-(Atomic Number*([Charge-e]^2))/(2*Total Energy))OpenImg
Can the Radius of Orbit given Time Period of Electron be negative?
Yes, the Radius of Orbit given Time Period of Electron, measured in Length can be negative.
Which unit is used to measure Radius of Orbit given Time Period of Electron?
Radius of Orbit given Time Period of Electron is usually measured using the Nanometer[nm] for Length. Meter[nm], Millimeter[nm], Kilometer[nm] are the few other units in which Radius of Orbit given Time Period of Electron can be measured.
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