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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 4 Constants, 2 Functions, 2 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Coulomb] - Coulomb constant Value Taken As 9E9
[Atomic-m] - Atomic mass unit Value Taken As 1.66054E-27
Functions Used
sqrt - Squre root function, sqrt(Number)
C - Binomial coefficient function, C(n,k)
Variables Used
Atomic number- Atomic number is the number of protons present inside the nucleus of an atom of an element.
Distance of closest approach - Distance of closest approach is the distance to which an alpha particle comes closer to the nucleus. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Atomic number: 17 --> No Conversion Required
Distance of closest approach: 100 Meter --> 100 Meter No Conversion Required
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]*100))
Evaluating ... ...
v = 0.153791181905034
STEP 3: Convert Result to Output's Unit
0.153791181905034 Meter per Second --> No Conversion Required
FINAL ANSWER
0.153791181905034 Meter per Second <-- Velocity of alpha particle
(Calculation completed in 00.006 seconds)

2 Distance of closest approach Calculators

Velocity of alpha particle using distance of closest approach
velocity_of_alpha_particle = sqrt(([Coulomb]*Atomic number*([Charge-e]^2))/([Atomic-m]*Distance of closest approach)) Go
Distance of closest approach
distance_of_closest_approach = ([Coulomb]*4*Atomic number*([Charge-e]^2))/([Atomic-m]*(Velocity of alpha particle^2)) Go

Velocity of alpha particle using distance of closest approach Formula

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 and 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) and 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 -> 1.537912 = sqrt(([Coulomb]*17*([Charge-e]^2))/([Atomic-m]*1)).

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 and 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) and Distance of closest approach (r0). With our tool, you need to enter the respective value for Atomic number and 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.
How many ways are there to calculate Velocity of alpha particle?
In this formula, Velocity of alpha particle uses Atomic number and Distance of closest approach. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • distance_of_closest_approach = ([Coulomb]*4*Atomic number*([Charge-e]^2))/([Atomic-m]*(Velocity of alpha particle^2))
  • velocity_of_alpha_particle = sqrt(([Coulomb]*Atomic number*([Charge-e]^2))/([Atomic-m]*Distance of closest approach))
Where is the Velocity of alpha particle using distance of closest approach calculator used?
Among many, Velocity of alpha particle using distance of closest approach calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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