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Uncertainty in Velocity of Particle b Calculator

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✖Mass a is the measure of the quantity of matter that a microscopic particle contains.ⓘ Mass a [m_a]			+10% -10%
✖Uncertainty in position a is the accuracy of the measurement of microscopic particle A.ⓘ Uncertainty in position a [Δx_A]			+10% -10%
✖Uncertainty in velocity a is the accuracy of the speed of microscopic particle A.ⓘ Uncertainty in velocity a [Δv_A]			+10% -10%
✖Mass b is the measure of the quantity of matter that a microscopic particle contains.ⓘ Mass b [m_b]			+10% -10%
✖Uncertainty in Position b is the accuracy of the measurement of microscopic particle B.ⓘ Uncertainty in Position b [Δx_B]			+10% -10%

✖Uncertainty in Velocity given b is the accuracy of the speed of particle.ⓘ Uncertainty in Velocity of Particle b [Δv_b]

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Uncertainty in Velocity of Particle b Solution

STEP 0: Pre-Calculation Summary

Formula Used

Uncertainty in Velocity given b = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Mass b*Uncertainty in Position b)
Δv_b = (m_a*Δx_A*Δv_A)/(m_b*Δx_B)
This formula uses 6 Variables

Variables Used

Uncertainty in Velocity given b - (Measured in Meter per Second) - Uncertainty in Velocity given b is the accuracy of the speed of particle.
Mass a - (Measured in Kilogram) - Mass a is the measure of the quantity of matter that a microscopic particle contains.
Uncertainty in position a - (Measured in Meter) - Uncertainty in position a is the accuracy of the measurement of microscopic particle A.
Uncertainty in velocity a - (Measured in Meter per Second) - Uncertainty in velocity a is the accuracy of the speed of microscopic particle A.
Mass b - (Measured in Kilogram) - Mass b is the measure of the quantity of matter that a microscopic particle contains.
Uncertainty in Position b - (Measured in Meter) - Uncertainty in Position b is the accuracy of the measurement of microscopic particle B.

STEP 1: Convert Input(s) to Base Unit

Mass a: 2.5 Kilogram --> 2.5 Kilogram No Conversion Required
Uncertainty in position a: 20 Meter --> 20 Meter No Conversion Required
Uncertainty in velocity a: 200 Meter per Second --> 200 Meter per Second No Conversion Required
Mass b: 8 Kilogram --> 8 Kilogram No Conversion Required
Uncertainty in Position b: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δv_b = (m_a*Δx_A*Δv_A)/(m_b*Δx_B) --> (2.5*20*200)/(8*15)

Evaluating ... ...

Δv_b = 83.3333333333333

STEP 3: Convert Result to Output's Unit

83.3333333333333 Meter per Second --> No Conversion Required

FINAL ANSWER

83.3333333333333 ≈ 83.33333 Meter per Second <-- Uncertainty in Velocity given b

(Calculation completed in 00.004 seconds)

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Uncertainty in Velocity of Particle b Formula

LaTeX Go

Uncertainty in Velocity given b = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Mass b*Uncertainty in Position b)
Δv_b = (m_a*Δx_A*Δv_A)/(m_b*Δx_B)

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 Velocity of Particle b?

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

How to calculate Uncertainty in Velocity of Particle b using this online calculator? To use this online calculator for Uncertainty in Velocity of Particle b, enter Mass a (m_a), Uncertainty in position a (Δx_A), Uncertainty in velocity a (Δv_A), Mass b (m_b) & Uncertainty in Position b (Δx_B) and hit the calculate button. Here is how the Uncertainty in Velocity of Particle b calculation can be explained with given input values -> 83.33333 = (2.5*20*200)/(8*15).

FAQ

What is Uncertainty in Velocity of Particle b?

The Uncertainty in velocity of particle b is defined as the accuracy of the speed of the particle in Heisenberg's Uncertainty Principle theory and is represented as Δv_b = (m_a*Δx_A*Δv_A)/(m_b*Δx_B) or Uncertainty in Velocity given b = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Mass b*Uncertainty in Position b). Mass a is the measure of the quantity of matter that a microscopic particle contains, Uncertainty in position a is the accuracy of the measurement of microscopic particle A, Uncertainty in velocity a is the accuracy of the speed of microscopic particle A, Mass b is the measure of the quantity of matter that a microscopic particle contains & Uncertainty in Position b is the accuracy of the measurement of microscopic particle B.

How to calculate Uncertainty in Velocity of Particle b?

The Uncertainty in velocity of particle b is defined as the accuracy of the speed of the particle in Heisenberg's Uncertainty Principle theory is calculated using Uncertainty in Velocity given b = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Mass b*Uncertainty in Position b). To calculate Uncertainty in Velocity of Particle b, you need Mass a (m_a), Uncertainty in position a (Δx_A), Uncertainty in velocity a (Δv_A), Mass b (m_b) & Uncertainty in Position b (Δx_B). With our tool, you need to enter the respective value for Mass a, Uncertainty in position a, Uncertainty in velocity a, Mass b & Uncertainty in Position b and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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