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Uncertainty in Energy Calculator

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✖Uncertainty in Time is the accuracy of the time for particle.ⓘ Uncertainty in Time [Δt]

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✖Uncertainty in Energy is the accuracy of the energy of particles.ⓘ Uncertainty in Energy [ΔE]

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Uncertainty in Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Uncertainty in Energy = [hP]/(4*pi*Uncertainty in Time)
ΔE = [hP]/(4*pi*Δt)
This formula uses 2 Constants, 2 Variables

Constants Used

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

Variables Used

Uncertainty in Energy - (Measured in Joule) - Uncertainty in Energy is the accuracy of the energy of particles.
Uncertainty in Time - (Measured in Second) - Uncertainty in Time is the accuracy of the time for particle.

STEP 1: Convert Input(s) to Base Unit

Uncertainty in Time: 16 Second --> 16 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔE = [hP]/(4*pi*Δt) --> [hP]/(4*pi*16)

Evaluating ... ...

ΔE = 3.29553687543473E-36

STEP 3: Convert Result to Output's Unit

3.29553687543473E-36 Joule --> No Conversion Required

FINAL ANSWER

3.29553687543473E-36 ≈ 3.3E-36 Joule <-- Uncertainty in Energy

(Calculation completed in 00.004 seconds)

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< Heisenberg's Uncertainty Principle Calculators

Mass in Uncertainty Principle

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

Uncertainty in Position given Uncertainty in Velocity

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

Uncertainty in Velocity

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

Uncertainty in momentum given uncertainty in velocity

LaTeX Go Uncertainity of Momentum = Mass*Uncertainty in Velocity

Uncertainty in Energy Formula

LaTeX Go

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

What is Heisenberg Uncertainty for Energy and Time?

Another form of Heisenberg’s uncertainty principle for simultaneous measurements is of energy and time. Here, ΔE is the uncertainty in energy and Δt is the uncertainty in time. This means that within a time interval Δt, it is not possible to measure energy precisely—there will be an uncertainty ΔE in the measurement. In order to measure energy more precisely (to make ΔE smaller), we must increase Δt. This time interval may be the amount of time we take to make the measurement, or it could be the amount of time a particular state exists.

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 Energy?

Uncertainty in Energy calculator uses Uncertainty in Energy = [hP]/(4*pi*Uncertainty in Time) to calculate the Uncertainty in Energy, The Uncertainty in energy formula is defined as the accuracy of the energy of the particle in Heisenberg's Uncertainty Principle theory. Uncertainty in Energy is denoted by ΔE symbol.

How to calculate Uncertainty in Energy using this online calculator? To use this online calculator for Uncertainty in Energy, enter Uncertainty in Time (Δt) and hit the calculate button. Here is how the Uncertainty in Energy calculation can be explained with given input values -> 3.3E-36 = [hP]/(4*pi*16).

FAQ

What is Uncertainty in Energy?

The Uncertainty in energy formula is defined as the accuracy of the energy of the particle in Heisenberg's Uncertainty Principle theory and is represented as ΔE = [hP]/(4*pi*Δt) or Uncertainty in Energy = [hP]/(4*pi*Uncertainty in Time). Uncertainty in Time is the accuracy of the time for particle.

How to calculate Uncertainty in Energy?

The Uncertainty in energy formula is defined as the accuracy of the energy of the particle in Heisenberg's Uncertainty Principle theory is calculated using Uncertainty in Energy = [hP]/(4*pi*Uncertainty in Time). To calculate Uncertainty in Energy, you need Uncertainty in Time (Δt). With our tool, you need to enter the respective value for Uncertainty in Time 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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