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Mass in Uncertainty Principle Calculator

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✖Uncertainty in Position is the accuracy of the measurement of particle.ⓘ Uncertainty in Position [Δx]			+10% -10%
✖Uncertainty in Velocity is the accuracy of the speed of particle.ⓘ Uncertainty in Velocity [Δv]			+10% -10%

✖Mass in UP is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass in Uncertainty Principle [m_UP]

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Formula

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Mass in Uncertainty Principle

Formula

m UP = \frac{[hP]}{4 \cdot π \cdot Δx \cdot Δv}

Example

6.8E-38 kg = \frac{[hP]}{4 \cdot π \cdot 35 m \cdot 22 m/s}

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Mass in Uncertainty Principle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass in UP = [hP]/(4*pi*Uncertainty in Position*Uncertainty in Velocity)
m_UP = [hP]/(4*pi*Δx*Δv)
This formula uses 2 Constants, 3 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Uncertainty in Position: 35 Meter --> 35 Meter No Conversion Required
Uncertainty in Velocity: 22 Meter per Second --> 22 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_UP = [hP]/(4*pi*Δx*Δv) --> [hP]/(4*pi*35*22)

Evaluating ... ...

m_UP = 6.84786883207216E-38

STEP 3: Convert Result to Output's Unit

6.84786883207216E-38 Kilogram --> No Conversion Required

FINAL ANSWER

6.84786883207216E-38 ≈ 6.8E-38 Kilogram <-- Mass in UP

(Calculation completed in 00.020 seconds)

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National Institute of Information Technology (NIIT), Neemrana

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< Heisenberg's Uncertainty Principle Calculators

Mass in Uncertainty Principle

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

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 uncertainty in velocity

Go Uncertainity of Momentum = Mass*Uncertainty in Velocity

Mass in Uncertainty Principle Formula

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

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 in Uncertainty Principle?

Mass in Uncertainty Principle calculator uses Mass in UP = [hP]/(4*pi*Uncertainty in Position*Uncertainty in Velocity) to calculate the Mass in UP, The Mass in Uncertainty principle formula is defined as the quantity of matter in a body regardless of its volume or of any forces acting on it. Mass in UP is denoted by m_UP symbol.

How to calculate Mass in Uncertainty Principle using this online calculator? To use this online calculator for Mass in Uncertainty Principle, enter Uncertainty in Position (Δx) & Uncertainty in Velocity (Δv) and hit the calculate button. Here is how the Mass in Uncertainty Principle calculation can be explained with given input values -> 6.8E-38 = [hP]/(4*pi*35*22).

FAQ

What is Mass in Uncertainty Principle?

The Mass in Uncertainty principle formula is defined as the quantity of matter in a body regardless of its volume or of any forces acting on it and is represented as m_UP = [hP]/(4*pi*Δx*Δv) or Mass in UP = [hP]/(4*pi*Uncertainty in Position*Uncertainty in Velocity). Uncertainty in Position is the accuracy of the measurement of particle & Uncertainty in Velocity is the accuracy of the speed of particle.

How to calculate Mass in Uncertainty Principle?

The Mass in Uncertainty principle formula is defined as the quantity of matter in a body regardless of its volume or of any forces acting on it is calculated using Mass in UP = [hP]/(4*pi*Uncertainty in Position*Uncertainty in Velocity). To calculate Mass in Uncertainty Principle, you need Uncertainty in Position (Δx) & Uncertainty in Velocity (Δv). With our tool, you need to enter the respective value for Uncertainty in Position & Uncertainty in Velocity 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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