Uncertainty in Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time Uncertainty = [hP]/(4*pi*Uncertainty in Energy)
Δtu = [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
Δtu = [hP]/(4*pi*ΔE) --> [hP]/(4*pi*9)
Evaluating ... ...
Δtu = 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)

Credits

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
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Verified by Pragati Jaju
College Of Engineering (COEP), Pune
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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

Uncertainty in Time Formula

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