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Radius of Orbit given Time Period of Electron Calculator

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✖Time Period of Electron is the time to complete one revolution of electron in orbit.ⓘ Time Period of Electron [T]			+10% -10%
✖The Velocity of Electron is the speed at which the electron moves in a particular orbit.ⓘ Velocity of Electron [v_e]			+10% -10%

✖Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.ⓘ Radius of Orbit given Time Period of Electron [r_orbit]

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Formula

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Radius of Orbit given Time Period of Electron

Formula

r orbit = \frac{T \cdot v e}{2 \cdot π}

Example

5E+12 nm = \frac{875 s \cdot 36 m/s}{2 \cdot π}

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Radius of Orbit given Time Period of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi)
r_orbit = (T*v_e)/(2*pi)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius of Orbit - (Measured in Meter) - Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.
Time Period of Electron - (Measured in Second) - Time Period of Electron is the time to complete one revolution of electron in orbit.
Velocity of Electron - (Measured in Meter per Second) - The Velocity of Electron is the speed at which the electron moves in a particular orbit.

STEP 1: Convert Input(s) to Base Unit

Time Period of Electron: 875 Second --> 875 Second No Conversion Required
Velocity of Electron: 36 Meter per Second --> 36 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_orbit = (T*v_e)/(2*pi) --> (875*36)/(2*pi)

Evaluating ... ...

r_orbit = 5013.3807073947

STEP 3: Convert Result to Output's Unit

5013.3807073947 Meter -->5013380707394.7 Nanometer (Check conversion here)

FINAL ANSWER

5013380707394.7 ≈ 5E+12 Nanometer <-- Radius of Orbit

(Calculation completed in 00.004 seconds)

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< Structure of Atom Calculators

Mass Number

Go Mass Number = Number of Protons+Number of Neutrons

Electric Charge

Go Electric Charge = Number of Electron*[Charge-e]

Number of Neutrons

Go Number of Neutrons = Mass Number-Atomic Number

Wave Number of Electromagnetic Wave

Go Wave Number = 1/Wavelength of Light Wave

Radius of Orbit given Time Period of Electron Formula

Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi)
r_orbit = (T*v_e)/(2*pi)

What is Bohr's model of a particle?

Bohr's theory is a theory of atomic structure in which the hydrogen atom (Bohr atom ) is assumed to consist of a proton as the nucleus, with a single electron moving in distinct circular orbits around it, each orbit corresponding to a specific quantized energy state: the theory was extended to other atoms.

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

Radius of Orbit given Time Period of Electron calculator uses Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi) to calculate 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 r_orbit symbol.

How to calculate Radius of Orbit given Time Period of Electron using this online calculator? To use this online calculator for Radius of Orbit given Time Period of Electron, enter Time Period of Electron (T) & Velocity of Electron (v_e) and hit the calculate button. Here is how the Radius of Orbit given Time Period of Electron calculation can be explained with given input values -> 5E+21 = (875*36)/(2*pi).

FAQ

What is Radius of Orbit given Time Period of Electron?

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 and is represented as r_orbit = (T*v_e)/(2*pi) or Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi). Time Period of Electron is the time to complete one revolution of electron in orbit & The Velocity of Electron is the speed at which the electron moves in a particular orbit.

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

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 is calculated using Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi). To calculate Radius of Orbit given Time Period of Electron, you need Time Period of Electron (T) & Velocity of Electron (v_e). With our tool, you need to enter the respective value for Time Period of Electron & Velocity of Electron 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 of Orbit?

In this formula, Radius of Orbit uses Time Period of Electron & Velocity of Electron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Orbit = (Atomic Number*([Charge-e]^2))/(2*Kinetic Energy)
Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/Potential Energy of Electron)
Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy))

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