Momentum of Particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Momentum of Particle = [hP]/Wavelength
Mu = [hP]/λ
This formula uses 1 Constants, 2 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
Variables Used
Momentum of Particle - (Measured in Kilogram Meter per Second) - Momentum of Particle refers to the quantity of motion that an object has. A sports team that is on the move has momentum. If an object is in motion (on the move) then it has momentum.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
STEP 1: Convert Input(s) to Base Unit
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mu = [hP]/λ --> [hP]/2.1E-09
Evaluating ... ...
Mu = 3.15527144761905E-25
STEP 3: Convert Result to Output's Unit
3.15527144761905E-25 Kilogram Meter per Second --> No Conversion Required
FINAL ANSWER
3.15527144761905E-25 3.2E-25 Kilogram Meter per Second <-- Momentum of Particle
(Calculation completed in 00.004 seconds)

Credits

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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!
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Verified by Pragati Jaju
College Of Engineering (COEP), Pune
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Heisenberg's Uncertainty Principle Calculators

Mass in Uncertainty Principle
​ LaTeX ​ Go Mass in UP = [hP]/(4*pi*Uncertainty in Position*Uncertainty in Velocity)
Uncertainty in Position given Uncertainty in Velocity
​ LaTeX ​ Go Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity)
Uncertainty in Velocity
​ LaTeX ​ Go Velocity Uncertainty = [hP]/(4*pi*Mass*Uncertainty in Position)
Uncertainty in momentum given uncertainty in velocity
​ LaTeX ​ Go Uncertainity of Momentum = Mass*Uncertainty in Velocity

Momentum of Particle Formula

​LaTeX ​Go
Momentum of Particle = [hP]/Wavelength
Mu = [hP]/λ

What is Heisenberg's Uncertainty Principle?

Heisenberg's Uncertainty Principle states that ' It is impossible to determine simultaneously, the exact position as well as momentum of an electron'. It is mathematically possible to express the uncertainty that, Heisenberg concluded, always exists if one attempts to measure the momentum and position of particles. First, we must define the variable “x” as the position of the particle, and define “p” as the momentum of the particle.

Is Heisenberg’s Uncertainty Principle noticeable in All Matter Waves?

Heisenberg’s principle is applicable to all matter waves. The measurement error of any two conjugate properties, whose dimensions happen to be joule sec, like position-momentum, time-energy will be guided by the Heisenberg’s value.
But, it will be noticeable and of significance only for small particles like an electron with very low mass. A bigger particle with heavy mass will show the error to be very small and negligible.

How to Calculate Momentum of Particle?

Momentum of Particle calculator uses Momentum of Particle = [hP]/Wavelength to calculate the Momentum of Particle, The Momentum of Particle formula is defined as the uncertainty in momentum in relation to the wavelength of the particle. Momentum of Particle is denoted by Mu symbol.

How to calculate Momentum of Particle using this online calculator? To use this online calculator for Momentum of Particle, enter Wavelength (λ) and hit the calculate button. Here is how the Momentum of Particle calculation can be explained with given input values -> 3.2E-25 = [hP]/2.1E-09.

FAQ

What is Momentum of Particle?
The Momentum of Particle formula is defined as the uncertainty in momentum in relation to the wavelength of the particle and is represented as Mu = [hP]/λ or Momentum of Particle = [hP]/Wavelength. Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
How to calculate Momentum of Particle?
The Momentum of Particle formula is defined as the uncertainty in momentum in relation to the wavelength of the particle is calculated using Momentum of Particle = [hP]/Wavelength. To calculate Momentum of Particle, you need Wavelength (λ). With our tool, you need to enter the respective value for Wavelength 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 Momentum of Particle?
In this formula, Momentum of Particle uses Wavelength. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Momentum of Particle = (2*[hP]*sin(Theta))/Wavelength
  • Momentum of Particle = [hP]/(4*pi*Uncertainty in Position)
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