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Uncertainty in Position Calculator

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✖Uncertainty in Momentum is the accuracy of the momentum of particle.ⓘ Uncertainty in Momentum [Δp]

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

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Uncertainty in Position Solution

STEP 0: Pre-Calculation Summary

Formula Used

Position Uncertainty = [hP]/(4*pi*Uncertainty in Momentum)
Δx_p = [hP]/(4*pi*Δp)
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

Position Uncertainty - (Measured in Meter) - Position Uncertainty is the accuracy of the measurement of particle.
Uncertainty in Momentum - (Measured in Kilogram Meter per Second) - Uncertainty in Momentum is the accuracy of the momentum of particle.

STEP 1: Convert Input(s) to Base Unit

Uncertainty in Momentum: 105 Kilogram Meter per Second --> 105 Kilogram Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δx_p = [hP]/(4*pi*Δp) --> [hP]/(4*pi*105)

Evaluating ... ...

Δx_p = 5.02177047685292E-37

STEP 3: Convert Result to Output's Unit

5.02177047685292E-37 Meter --> No Conversion Required

FINAL ANSWER

5.02177047685292E-37 ≈ 5E-37 Meter <-- Position Uncertainty

(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 Position Formula

LaTeX Go

Position Uncertainty = [hP]/(4*pi*Uncertainty in Momentum)
Δx_p = [hP]/(4*pi*Δp)

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 Position?

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

How to calculate Uncertainty in Position using this online calculator? To use this online calculator for Uncertainty in Position, enter Uncertainty in Momentum (Δp) and hit the calculate button. Here is how the Uncertainty in Position calculation can be explained with given input values -> 5E-37 = [hP]/(4*pi*105).

FAQ

What is Uncertainty in Position?

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

How to calculate Uncertainty in Position?

The Uncertainty in position formula is defined as the accuracy of the measurement of the particle in Heisenberg's Uncertainty Principle theory is calculated using Position Uncertainty = [hP]/(4*pi*Uncertainty in Momentum). To calculate Uncertainty in Position, you need Uncertainty in Momentum (Δp). With our tool, you need to enter the respective value for Uncertainty in Momentum 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 Position Uncertainty?

In this formula, Position Uncertainty uses Uncertainty in Momentum. We can use 1 other way(s) to calculate the same, which is/are as follows -

Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity)

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