Mass of Microscopic Particle in Uncertainty Relation Calculator

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Heisenberg's Uncertainty Principle

Bohr's Atomic Model

Compton Effect

De Broglie Hypothesis

Distance of Closest Approach

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

Structure of Atom

✖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 b is the accuracy of the speed of microscopic particle B.ⓘ Uncertainty in Velocity b [Δv_B]			+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 in UR is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass of Microscopic Particle in Uncertainty Relation [m_UR]

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Formula

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Mass of Microscopic Particle in Uncertainty Relation

Formula

`"m"_{"UR"} = ("m"_{"b"}*"Δx"_{"B"}*"Δv"_{"B"})/("Δx"_{"A"}*"Δv"_{"A"})`

Example

`"4.5kg"=("8kg"*"15m"*"150m/s")/("20m"*"200m/s")`

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Mass of Microscopic Particle in Uncertainty Relation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass in UR = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Uncertainty in position a*Uncertainty in velocity a)
m_UR = (m_b*Δx_B*Δv_B)/(Δx_A*Δv_A)
This formula uses 6 Variables

Variables Used

Mass in UR - (Measured in Kilogram) - Mass in UR is the quantity of matter in a body regardless of its volume or of any forces acting on it.
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.
Uncertainty in Velocity b - (Measured in Meter per Second) - Uncertainty in Velocity b is the accuracy of the speed of microscopic particle B.
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.

STEP 1: Convert Input(s) to Base Unit

Mass b: 8 Kilogram --> 8 Kilogram No Conversion Required
Uncertainty in Position b: 15 Meter --> 15 Meter No Conversion Required
Uncertainty in Velocity b: 150 Meter per Second --> 150 Meter per Second 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_UR = (m_b*Δx_B*Δv_B)/(Δx_A*Δv_A) --> (8*15*150)/(20*200)

Evaluating ... ...

m_UR = 4.5

STEP 3: Convert Result to Output's Unit

4.5 Kilogram --> No Conversion Required

FINAL ANSWER

4.5 Kilogram <-- Mass in UR

(Calculation completed in 00.004 seconds)

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< 23 Heisenberg's Uncertainty Principle Calculators

Mass b of Microscopic Particle in Uncertainty Relation

Go Mass b given UP = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Uncertainty in Position b*Uncertainty in Velocity b)

Uncertainty in Velocity of Particle a

Go Uncertainty in Velocity given a = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Mass a*Uncertainty in position a)

Uncertainty in Velocity of Particle b

Go Uncertainty in Velocity given b = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Mass b*Uncertainty in Position b)

Mass of Microscopic Particle in Uncertainty Relation

Go Mass in UR = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Uncertainty in position a*Uncertainty in velocity a)

Uncertainty in Position of Particle a

Go Uncertainty in position a = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Mass a*Uncertainty in velocity a)

Uncertainty in Position of Particle b

Go Uncertainty in Position b = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Mass b*Uncertainty in Velocity b)

Angle of Light Ray given Uncertainty in Momentum

Go Theta given UM = asin((Uncertainty in Momentum*Wavelength of Light)/(2*[hP]))

Mass in Uncertainty Principle

Go Mass in UP = [hP]/(4*pi*Uncertainty in Position*Uncertainty in Velocity)

Wavelength given Uncertainty in Momentum

Go Wavelength given Momentum = (2*[hP]*sin(Theta))/Uncertainty in Momentum

Uncertainty in Position given Uncertainty in Velocity

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

Uncertainty in Velocity

Go Velocity Uncertainty = [hP]/(4*pi*Mass*Uncertainty in Position)

Uncertainty in Momentum given Angle of Light Ray

Go Momentum of Particle = (2*[hP]*sin(Theta))/Wavelength

Uncertainty in Position

Go Position Uncertainty = [hP]/(4*pi*Uncertainty in Momentum)

Uncertainty in Momentum

Go Momentum of Particle = [hP]/(4*pi*Uncertainty in Position)

Uncertainty in Energy

Go Uncertainty in Energy = [hP]/(4*pi*Uncertainty in Time)

Angle of Light Ray given Uncertainty in Position

Go Theta given UP = asin(Wavelength/Uncertainty in Position)

Wavelength of Light Ray given Uncertainty in Position

Go Wavelength given PE = Uncertainty in Position*sin(Theta)

Uncertainty in Time

Go Time Uncertainty = [hP]/(4*pi*Uncertainty in Energy)

Uncertainty in Position given Angle of Light Ray

Go Position Uncertainty in Rays = Wavelength/sin(Theta)

Early Form of Uncertainty Principle

Go Early Uncertainty in Momentum = [hP]/Uncertainty in Position

Uncertainty in momentum given uncertainty in velocity

Go Uncertainity of Momentum = Mass*Uncertainty in Velocity

Wavelength of Particle given Momentum

Go Wavelength given Momentum = [hP]/Momentum

Momentum of Particle

Go Momentum of Particle = [hP]/Wavelength

Mass of Microscopic Particle in Uncertainty Relation Formula

Mass in UR = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Uncertainty in position a*Uncertainty in velocity a)
m_UR = (m_b*Δx_B*Δv_B)/(Δx_A*Δv_A)

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 Mass of Microscopic Particle in Uncertainty Relation?

Mass of Microscopic Particle in Uncertainty Relation calculator uses Mass in UR = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Uncertainty in position a*Uncertainty in velocity a) to calculate the Mass in UR, The Mass of microscopic particle in uncertainty relation is defined as the amount of matter contained in the microscopic particle. Mass in UR is denoted by m_UR symbol.

How to calculate Mass of Microscopic Particle in Uncertainty Relation using this online calculator? To use this online calculator for Mass of Microscopic Particle in Uncertainty Relation, enter Mass b (m_b), Uncertainty in Position b (Δx_B), Uncertainty in Velocity b (Δv_B), Uncertainty in position a (Δx_A) & Uncertainty in velocity a (Δv_A) and hit the calculate button. Here is how the Mass of Microscopic Particle in Uncertainty Relation calculation can be explained with given input values -> 4.5 = (8*15*150)/(20*200).

FAQ

What is Mass of Microscopic Particle in Uncertainty Relation?

The Mass of microscopic particle in uncertainty relation is defined as the amount of matter contained in the microscopic particle and is represented as m_UR = (m_b*Δx_B*Δv_B)/(Δx_A*Δv_A) or Mass in UR = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Uncertainty in position a*Uncertainty in velocity 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, Uncertainty in Velocity b is the accuracy of the speed of microscopic particle B, 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.

How to calculate Mass of Microscopic Particle in Uncertainty Relation?

The Mass of microscopic particle in uncertainty relation is defined as the amount of matter contained in the microscopic particle is calculated using Mass in UR = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Uncertainty in position a*Uncertainty in velocity a). To calculate Mass of Microscopic Particle in Uncertainty Relation, you need Mass b (m_b), Uncertainty in Position b (Δx_B), Uncertainty in Velocity b (Δv_B), Uncertainty in position a (Δx_A) & Uncertainty in velocity a (Δv_A). With our tool, you need to enter the respective value for Mass b, Uncertainty in Position b, Uncertainty in Velocity b, Uncertainty in position a & Uncertainty in velocity a 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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