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Uncertainty in Velocity of Particle a Formula

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Uncertainty in Velocity given a is the accuracy of the speed of particle. Check FAQs

Δv a = \frac{m b \cdot Δx B \cdot Δv B}{m a \cdot Δx A}

Δv_a - Uncertainty in Velocity given a?m_b - Mass b?Δx_B - Uncertainty in Position b?Δv_B - Uncertainty in Velocity b?m_a - Mass a?Δx_A - Uncertainty in position a?

Uncertainty in Velocity of Particle a Example

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Here is how the Uncertainty in Velocity of Particle a equation looks like with Values.

Here is how the Uncertainty in Velocity of Particle a equation looks like with Units.

Here is how the Uncertainty in Velocity of Particle a equation looks like.

360 = \frac{8 \cdot 15 \cdot 150}{2.5 \cdot 20}

360m/s = \frac{8kg \cdot 15m \cdot 150m/s}{2.5kg \cdot 20m}

360 = \frac{8 \cdot 15 \cdot 150}{2.5 \cdot 20}

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Home » Chemistry » Atomic structure » Heisenberg's Uncertainty Principle » Uncertainty in Velocity of Particle a

Uncertainty in Velocity of Particle a Solution

Follow our step by step solution on how to calculate Uncertainty in Velocity of Particle a?

FIRST Step Consider the formula

Δv a = \frac{m b \cdot Δx B \cdot Δv B}{m a \cdot Δx A}

Next Step Substitute values of Variables

∴

Δv a = \frac{8kg \cdot 15m \cdot 150m/s}{2.5kg \cdot 20m}

Next Step Prepare to Evaluate

∴

Δv a = \frac{8 \cdot 15 \cdot 150}{2.5 \cdot 20}

LAST Step Evaluate

∴

Δv a = 360m/s

Uncertainty in Velocity of Particle a Formula Elements

Variables

Uncertainty in Velocity given a

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

Symbol: Δv_a

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: m_b

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Uncertainty in Position b

Uncertainty in Position b is the accuracy of the measurement of microscopic particle B.

Symbol: Δx_B

Measurement: LengthUnit: m

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: Δv_B

Measurement: SpeedUnit: m/s

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: m_a

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: Δx_A

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Credits

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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

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Verified by Pragati Jaju

College Of Engineering (COEP), Pune

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

Other formulas in Heisenberg's Uncertainty Principle category

Go Uncertainty in Position given Uncertainty in Velocity

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

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}

See More

How to Evaluate Uncertainty in Velocity of Particle a?

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

How to evaluate Uncertainty in Velocity of Particle a using this online evaluator? To use this online evaluator for Uncertainty in Velocity of Particle a, enter Mass b (m_b), Uncertainty in Position b (Δx_B), Uncertainty in Velocity b (Δv_B), Mass a (m_a) & Uncertainty in position a (Δx_A) and hit the calculate button.

FAQs on Uncertainty in Velocity of Particle a

What is the formula to find Uncertainty in Velocity of Particle a?

The formula of Uncertainty in Velocity of Particle a is expressed as Uncertainty in Velocity given a = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Mass a*Uncertainty in position a). Here is an example- 360 = (8*15*150)/(2.5*20).

How to calculate Uncertainty in Velocity of Particle a?

With Mass b (m_b), Uncertainty in Position b (Δx_B), Uncertainty in Velocity b (Δv_B), Mass a (m_a) & Uncertainty in position a (Δx_A) we can find Uncertainty in Velocity of Particle a using the formula - Uncertainty in Velocity given a = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Mass a*Uncertainty in position a).

Can the Uncertainty in Velocity of Particle a be negative?

Yes, the Uncertainty in Velocity of Particle a, measured in Speed can be negative.

Which unit is used to measure Uncertainty in Velocity of Particle a?

Uncertainty in Velocity of Particle a is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Uncertainty in Velocity of Particle a can be measured.

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