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Uncertainty in Time Calculator

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

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

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Formula

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Uncertainty in Time

Formula

Δt u = \frac{[hP]}{4 \cdot π \cdot ΔE}

Example

5.9E-36 s = \frac{[hP]}{4 \cdot π \cdot 9 J}

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Uncertainty in Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Uncertainty in Energy: 9 Joule --> 9 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δt_u = [hP]/(4*pi*ΔE) --> [hP]/(4*pi*9)

Evaluating ... ...

Δt_u = 5.85873222299507E-36

STEP 3: Convert Result to Output's Unit

5.85873222299507E-36 Second --> No Conversion Required

FINAL ANSWER

5.85873222299507E-36 ≈ 5.9E-36 Second <-- Time Uncertainty

(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

Uncertainty in Time Formula

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

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 Time?

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

How to calculate Uncertainty in Time using this online calculator? To use this online calculator for Uncertainty in Time, enter Uncertainty in Energy (ΔE) and hit the calculate button. Here is how the Uncertainty in Time calculation can be explained with given input values -> 5.9E-36 = [hP]/(4*pi*9).

FAQ

What is Uncertainty in Time?

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

How to calculate Uncertainty in Time?

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