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Velocity of alpha particle using distance of closest approach Calculator

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✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%
✖Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.ⓘ Distance of Closest Approach [r₀]			+10% -10%

✖Velocity of alpha particle is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of a particle).ⓘ Velocity of alpha particle using distance of closest approach [v]

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Velocity of alpha particle using distance of closest approach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of alpha particle = sqrt(([Coulomb]*Atomic Number*([Charge-e]^2))/([Atomic-m]*Distance of Closest Approach))
v = sqrt(([Coulomb]*Z*([Charge-e]^2))/([Atomic-m]*r₀))
This formula uses 3 Constants, 1 Functions, 3 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Atomic-m] - Atomic mass unit Value Taken As 1.66054E-27
[Coulomb] - Coulomb constant Value Taken As 8.9875E+9

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Velocity of alpha particle - (Measured in Meter per Second) - Velocity of alpha particle is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of a particle).
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
Distance of Closest Approach - (Measured in Meter) - Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.

STEP 1: Convert Input(s) to Base Unit

Atomic Number: 17 --> No Conversion Required
Distance of Closest Approach: 60 Angstrom --> 6E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = sqrt(([Coulomb]*Z*([Charge-e]^2))/([Atomic-m]*r₀)) --> sqrt(([Coulomb]*17*([Charge-e]^2))/([Atomic-m]*6E-09))

Evaluating ... ...

v = 19840.6208398467

STEP 3: Convert Result to Output's Unit

19840.6208398467 Meter per Second --> No Conversion Required

FINAL ANSWER

19840.6208398467 ≈ 19840.62 Meter per Second <-- Velocity of alpha particle

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

Verified by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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< Distance of Closest Approach Calculators

Velocity of alpha particle using distance of closest approach

LaTeX Go Velocity of alpha particle = sqrt(([Coulomb]*Atomic Number*([Charge-e]^2))/([Atomic-m]*Distance of Closest Approach))

Distance of closest approach

LaTeX Go Distance of Closest Approach = ([Coulomb]*4*Atomic Number*([Charge-e]^2))/([Atomic-m]*(Velocity of alpha particle^2))

Internal Energy of Ideal Gas using Law of Equipartition Energy

LaTeX Go Internal Molar Energy given EP = (Degree of Freedom/2)*Number of Moles*[R]*Temperature of Gas

Velocity of alpha particle using distance of closest approach Formula

LaTeX Go

Velocity of alpha particle = sqrt(([Coulomb]*Atomic Number*([Charge-e]^2))/([Atomic-m]*Distance of Closest Approach))
v = sqrt(([Coulomb]*Z*([Charge-e]^2))/([Atomic-m]*r₀))

What is distance of closest approach?

Hans Geiger and Ernest Marsden performed this experiment under the direction of Ernest Rutherford. In the experiment, when an alpha particle reaches the closest distance to the nucleus, it will come to rest and its initial kinetic energy will be completely transformed into potential energy.

How to Calculate Velocity of alpha particle using distance of closest approach?

Velocity of alpha particle using distance of closest approach calculator uses Velocity of alpha particle = sqrt(([Coulomb]*Atomic Number*([Charge-e]^2))/([Atomic-m]*Distance of Closest Approach)) to calculate the Velocity of alpha particle, The Velocity of alpha particle using distance of closest approach is the speed by which an alpha particle travels in an atomic nucleus. Velocity of alpha particle is denoted by v symbol.

How to calculate Velocity of alpha particle using distance of closest approach using this online calculator? To use this online calculator for Velocity of alpha particle using distance of closest approach, enter Atomic Number (Z) & Distance of Closest Approach (r₀) and hit the calculate button. Here is how the Velocity of alpha particle using distance of closest approach calculation can be explained with given input values -> 19840.62 = sqrt(([Coulomb]*17*([Charge-e]^2))/([Atomic-m]*6E-09)).

FAQ

What is Velocity of alpha particle using distance of closest approach?

The Velocity of alpha particle using distance of closest approach is the speed by which an alpha particle travels in an atomic nucleus and is represented as v = sqrt(([Coulomb]*Z*([Charge-e]^2))/([Atomic-m]*r₀)) or Velocity of alpha particle = sqrt(([Coulomb]*Atomic Number*([Charge-e]^2))/([Atomic-m]*Distance of Closest Approach)). Atomic Number is the number of protons present inside the nucleus of an atom of an element & Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.

How to calculate Velocity of alpha particle using distance of closest approach?

The Velocity of alpha particle using distance of closest approach is the speed by which an alpha particle travels in an atomic nucleus is calculated using Velocity of alpha particle = sqrt(([Coulomb]*Atomic Number*([Charge-e]^2))/([Atomic-m]*Distance of Closest Approach)). To calculate Velocity of alpha particle using distance of closest approach, you need Atomic Number (Z) & Distance of Closest Approach (r₀). With our tool, you need to enter the respective value for Atomic Number & Distance of Closest Approach 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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