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Uncertainty in Position Formula

GoUncertainty in Position given Uncertainty in Velocity Formula

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Position Uncertainty is the accuracy of the measurement of particle. Check FAQs

Δx p = \frac{[hP]}{4 \cdot π \cdot Δp}

Δx_p - Position Uncertainty?Δp - Uncertainty in Momentum?[hP] - Planck constant?π - Archimedes' constant?

Uncertainty in Position Example

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Here is how the Uncertainty in Position equation looks like with Values.

Here is how the Uncertainty in Position equation looks like with Units.

Here is how the Uncertainty in Position equation looks like.

5E-37 = \frac{6.6E-34}{4 \cdot 3.1416 \cdot 105}

5E-37m = \frac{6.6E-34}{4 \cdot 3.1416 \cdot 105kg*m/s}

5E-37 = \frac{6.6E-34}{4 \cdot 3.1416 \cdot 105}

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Home » Chemistry » Atomic structure » Heisenberg's Uncertainty Principle » Uncertainty in Position

Uncertainty in Position Solution

Follow our step by step solution on how to calculate Uncertainty in Position?

FIRST Step Consider the formula

Δx p = \frac{[hP]}{4 \cdot π \cdot Δp}

Next Step Substitute values of Variables

∴

Δx p = \frac{[hP]}{4 \cdot π \cdot 105kg*m/s}

Next Step Substitute values of Constants

∴

Δx p = \frac{6.6E-34}{4 \cdot 3.1416 \cdot 105kg*m/s}

Next Step Prepare to Evaluate

∴

Δx p = \frac{6.6E-34}{4 \cdot 3.1416 \cdot 105}

Next Step Evaluate

∴

Δx p = 5.02177047685292E-37m

LAST Step Rounding Answer

∴

Δx p = 5E-37m

Uncertainty in Position Formula Elements

Variables

Constants

Position Uncertainty

Position Uncertainty is the accuracy of the measurement of particle.

Symbol: Δx_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Uncertainty in Momentum

Uncertainty in Momentum is the accuracy of the momentum of particle.

Symbol: Δp

Measurement: MomentumUnit: kg*m/s

Note: Value can be positive or negative.

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Credits

Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Formula and 500+ more formulas!

Verified by Pragati Jaju

College Of Engineering (COEP), Pune

Pragati Jaju has verified this Formula and 300+ more formulas!

Other Formulas to find Position Uncertainty

Go Uncertainty in Position given Uncertainty in Velocity

Δx p = \frac{[hP]}{2 \cdot π \cdot Mass flight path \cdot Δv}

Other formulas in Heisenberg's Uncertainty Principle category

Go Uncertainty in momentum given uncertainty in velocity

Um = Mass flight path \cdot Δv

Go Uncertainty in Velocity

ΔV u = \frac{[hP]}{4 \cdot π \cdot Mass flight path \cdot Δx}

Go Mass in Uncertainty Principle

m UP = \frac{[hP]}{4 \cdot π \cdot Δx \cdot Δv}

Go Uncertainty in Energy

ΔE = \frac{[hP]}{4 \cdot π \cdot Δt}

How to Evaluate Uncertainty in Position?

Uncertainty in Position evaluator uses Position Uncertainty = [hP]/(4*pi*Uncertainty in Momentum) to evaluate 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 evaluate Uncertainty in Position using this online evaluator? To use this online evaluator for Uncertainty in Position, enter Uncertainty in Momentum (Δp) and hit the calculate button.

FAQs on Uncertainty in Position

What is the formula to find Uncertainty in Position?

The formula of Uncertainty in Position is expressed as Position Uncertainty = [hP]/(4*pi*Uncertainty in Momentum). Here is an example- 5E-37 = [hP]/(4*pi*105).

How to calculate Uncertainty in Position?

With Uncertainty in Momentum (Δp) we can find Uncertainty in Position using the formula - Position Uncertainty = [hP]/(4*pi*Uncertainty in Momentum). This formula also uses Planck constant, Archimedes' constant .

What are the other ways to Calculate Position Uncertainty?

Here are the different ways to Calculate Position Uncertainty-

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

Can the Uncertainty in Position be negative?

Yes, the Uncertainty in Position, measured in Length can be negative.

Which unit is used to measure Uncertainty in Position?

Uncertainty in Position is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Uncertainty in Position can be measured.