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Uncertainty in Momentum Calculator

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✖Uncertainty in Position is the accuracy of the measurement of particle.ⓘ Uncertainty in Position [Δx]

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✖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.ⓘ Uncertainty in Momentum [M_u]

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Uncertainty in Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Momentum of Particle = [hP]/(4*pi*Uncertainty in Position)
M_u = [hP]/(4*pi*Δx)
This formula uses 2 Constants, 2 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Uncertainty in Position - (Measured in Meter) - Uncertainty in Position is the accuracy of the measurement of particle.

STEP 1: Convert Input(s) to Base Unit

Uncertainty in Position: 35 Meter --> 35 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_u = [hP]/(4*pi*Δx) --> [hP]/(4*pi*35)

Evaluating ... ...

M_u = 1.50653114305588E-36

STEP 3: Convert Result to Output's Unit

1.50653114305588E-36 Kilogram Meter per Second --> No Conversion Required

FINAL ANSWER

1.50653114305588E-36 ≈ 1.5E-36 Kilogram Meter per Second <-- Momentum of Particle

(Calculation completed in 00.004 seconds)

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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

Uncertainty in Momentum Formula

LaTeX Go

Momentum of Particle = [hP]/(4*pi*Uncertainty in Position)
M_u = [hP]/(4*pi*Δx)

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 Uncertainty in Momentum?

Uncertainty in Momentum calculator uses Momentum of Particle = [hP]/(4*pi*Uncertainty in Position) to calculate the Momentum of Particle, The Uncertainty in momentum formula is defined as the accuracy of the momentum of the particle in Heisenberg's Uncertainty Principle theory. Momentum of Particle is denoted by M_u symbol.

How to calculate Uncertainty in Momentum using this online calculator? To use this online calculator for Uncertainty in Momentum, enter Uncertainty in Position (Δx) and hit the calculate button. Here is how the Uncertainty in Momentum calculation can be explained with given input values -> 1.5E-36 = [hP]/(4*pi*35).

FAQ

What is Uncertainty in Momentum?

The Uncertainty in momentum formula is defined as the accuracy of the momentum of the particle in Heisenberg's Uncertainty Principle theory and is represented as M_u = [hP]/(4*pi*Δx) or Momentum of Particle = [hP]/(4*pi*Uncertainty in Position). Uncertainty in Position is the accuracy of the measurement of particle.

How to calculate Uncertainty in Momentum?

The Uncertainty in momentum formula is defined as the accuracy of the momentum of the particle in Heisenberg's Uncertainty Principle theory is calculated using Momentum of Particle = [hP]/(4*pi*Uncertainty in Position). To calculate Uncertainty in Momentum, you need Uncertainty in Position (Δx). With our tool, you need to enter the respective value for Uncertainty in Position 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 Uncertainty in Position. We can use 2 other way(s) to calculate the same, which is/are as follows -

Momentum of Particle = [hP]/Wavelength
Momentum of Particle = (2*[hP]*sin(Theta))/Wavelength

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