Uncertainty in Position of Particle b Formula

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Uncertainty in Position b is the accuracy of the measurement of microscopic particle B. Check FAQs
ΔxB=maΔxAΔvAmbΔvB
ΔxB - Uncertainty in Position b?ma - Mass a?ΔxA - Uncertainty in position a?ΔvA - Uncertainty in velocity a?mb - Mass b?ΔvB - Uncertainty in Velocity b?

Uncertainty in Position of Particle b Example

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With units
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Here is how the Uncertainty in Position of Particle b equation looks like with Values.

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

Here is how the Uncertainty in Position of Particle b equation looks like.

8.3333Edit=2.5Edit20Edit200Edit8Edit150Edit
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Uncertainty in Position of Particle b Solution

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

FIRST Step Consider the formula
ΔxB=maΔxAΔvAmbΔvB
Next Step Substitute values of Variables
ΔxB=2.5kg20m200m/s8kg150m/s
Next Step Prepare to Evaluate
ΔxB=2.5202008150
Next Step Evaluate
ΔxB=8.33333333333333m
LAST Step Rounding Answer
ΔxB=8.3333m

Uncertainty in Position of Particle b Formula Elements

Variables
Uncertainty in Position b
Uncertainty in Position b is the accuracy of the measurement of microscopic particle B.
Symbol: ΔxB
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Mass a
Mass a is the measure of the quantity of matter that a microscopic particle contains.
Symbol: ma
Measurement: WeightUnit: kg
Note: Value can be positive or negative.
Uncertainty in position a
Uncertainty in position a is the accuracy of the measurement of microscopic particle A.
Symbol: ΔxA
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Uncertainty in velocity a
Uncertainty in velocity a is the accuracy of the speed of microscopic particle A.
Symbol: ΔvA
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Mass b
Mass b is the measure of the quantity of matter that a microscopic particle contains.
Symbol: mb
Measurement: WeightUnit: kg
Note: Value can be positive or negative.
Uncertainty in Velocity b
Uncertainty in Velocity b is the accuracy of the speed of microscopic particle B.
Symbol: ΔvB
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.

Other formulas in Heisenberg's Uncertainty Principle category

​Go Uncertainty in Position given Uncertainty in Velocity
Δxp=[hP]2πMassflight pathΔv
​Go Uncertainty in momentum given uncertainty in velocity
Um=Massflight pathΔv
​Go Uncertainty in Velocity
ΔVu=[hP]4πMassflight pathΔx
​Go Mass in Uncertainty Principle
mUP=[hP]4πΔxΔv

How to Evaluate Uncertainty in Position of Particle b?

Uncertainty in Position of Particle b evaluator uses Uncertainty in Position b = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Mass b*Uncertainty in Velocity b) to evaluate the Uncertainty in Position b, The Uncertainty in position of particle b is defined as the accuracy of the measurement of the particle in Heisenberg's Uncertainty Principle theory. Uncertainty in Position b is denoted by ΔxB symbol.

How to evaluate Uncertainty in Position of Particle b using this online evaluator? To use this online evaluator for Uncertainty in Position of Particle b, enter Mass a (ma), Uncertainty in position a (ΔxA), Uncertainty in velocity a (ΔvA), Mass b (mb) & Uncertainty in Velocity b (ΔvB) and hit the calculate button.

FAQs on Uncertainty in Position of Particle b

What is the formula to find Uncertainty in Position of Particle b?
The formula of Uncertainty in Position of Particle b is expressed as Uncertainty in Position b = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Mass b*Uncertainty in Velocity b). Here is an example- 8.333333 = (2.5*20*200)/(8*150).
How to calculate Uncertainty in Position of Particle b?
With Mass a (ma), Uncertainty in position a (ΔxA), Uncertainty in velocity a (ΔvA), Mass b (mb) & Uncertainty in Velocity b (ΔvB) we can find Uncertainty in Position of Particle b using the formula - Uncertainty in Position b = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Mass b*Uncertainty in Velocity b).
Can the Uncertainty in Position of Particle b be negative?
Yes, the Uncertainty in Position of Particle b, measured in Length can be negative.
Which unit is used to measure Uncertainty in Position of Particle b?
Uncertainty in Position of Particle b 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 of Particle b can be measured.
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