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Uncertainty in Position given Uncertainty in Velocity Formula

GoUncertainty in Position Formula

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

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

Δx_p - Position Uncertainty?Mass_{flight path} - Mass?Δv - Uncertainty in Velocity?[hP] - Planck constant?π - Archimedes' constant?

Uncertainty in Position given Uncertainty in Velocity Example

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

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

Here is how the Uncertainty in Position given Uncertainty in Velocity equation looks like.

1.4E-37 = \frac{6.6E-34}{2 \cdot 3.1416 \cdot 35.45 \cdot 22}

1.4E-37m = \frac{6.6E-34}{2 \cdot 3.1416 \cdot 35.45kg \cdot 22m/s}

1.4E-37 = \frac{6.6E-34}{2 \cdot 3.1416 \cdot 35.45 \cdot 22}

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Heisenberg's Uncertainty Principle » fx Uncertainty in Position given Uncertainty in Velocity

Uncertainty in Position given Uncertainty in Velocity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Δx p = \frac{[hP]}{2 \cdot π \cdot 35.45kg \cdot 22m/s}

Next Step Substitute values of Constants

∴

Δx p = \frac{6.6E-34}{2 \cdot 3.1416 \cdot 35.45kg \cdot 22m/s}

Next Step Prepare to Evaluate

∴

Δx p = \frac{6.6E-34}{2 \cdot 3.1416 \cdot 35.45 \cdot 22}

Next Step Evaluate

∴

Δx p = 1.35218848588167E-37m

LAST Step Rounding Answer

∴

Δx p = 1.4E-37m

Uncertainty in Position given Uncertainty in Velocity 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.

Formulas to find Position Uncertainty

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: Mass_{flight path}

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Uncertainty in Velocity

Uncertainty in Velocity is the accuracy of the speed of particle.

Symbol: Δv

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Uncertainty in Velocity

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

Other Formulas to find Position Uncertainty

Go Uncertainty in Position

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

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 given Uncertainty in Velocity?

Uncertainty in Position given Uncertainty in Velocity evaluator uses Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity) to evaluate the Position Uncertainty, The Uncertainty in position given uncertainty in velocity 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 given Uncertainty in Velocity using this online evaluator? To use this online evaluator for Uncertainty in Position given Uncertainty in Velocity, enter Mass (Mass_{flight path}) & Uncertainty in Velocity (Δv) and hit the calculate button.

FAQs on Uncertainty in Position given Uncertainty in Velocity

What is the formula to find Uncertainty in Position given Uncertainty in Velocity?

The formula of Uncertainty in Position given Uncertainty in Velocity is expressed as Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity). Here is an example- 1.4E-37 = [hP]/(2*pi*35.45*22).

How to calculate Uncertainty in Position given Uncertainty in Velocity?

With Mass (Mass_{flight path}) & Uncertainty in Velocity (Δv) we can find Uncertainty in Position given Uncertainty in Velocity using the formula - Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity). 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]/(4*pi*Uncertainty in Momentum)

Can the Uncertainty in Position given Uncertainty in Velocity be negative?

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

Which unit is used to measure Uncertainty in Position given Uncertainty in Velocity?

Uncertainty in Position given Uncertainty in Velocity 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 given Uncertainty in Velocity can be measured.

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