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Angle of Light Ray given Uncertainty in Momentum Calculator

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✖Uncertainty in Momentum is the accuracy of the momentum of particle.ⓘ Uncertainty in Momentum [Δp]			+10% -10%
✖Wavelength of Light is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in a vacuum or along a medium.ⓘ Wavelength of Light [λ_light]			+10% -10%

✖Theta given UM is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Angle of Light Ray given Uncertainty in Momentum [θ_UM]

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Angle of Light Ray given Uncertainty in Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theta given UM = asin((Uncertainty in Momentum*Wavelength of Light)/(2*[hP]))
θ_UM = asin((Δp*λ_light)/(2*[hP]))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Theta given UM - (Measured in Radian) - Theta given UM is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Uncertainty in Momentum - (Measured in Kilogram Meter per Second) - Uncertainty in Momentum is the accuracy of the momentum of particle.
Wavelength of Light - (Measured in Meter) - Wavelength of Light is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in a vacuum or along a medium.

STEP 1: Convert Input(s) to Base Unit

Uncertainty in Momentum: 105 Kilogram Meter per Second --> 105 Kilogram Meter per Second No Conversion Required
Wavelength of Light: 1E-27 Nanometer --> 1E-36 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_UM = asin((Δp*λ_light)/(2*[hP])) --> asin((105*1E-36)/(2*[hP]))

Evaluating ... ...

θ_UM = 0.0793156215959703

STEP 3: Convert Result to Output's Unit

0.0793156215959703 Radian -->4.54445036690664 Degree (Check conversion here)

FINAL ANSWER

4.54445036690664 ≈ 4.54445 Degree <-- Theta given UM

(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

Angle of Light Ray given Uncertainty in Momentum Formula

LaTeX Go

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

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 Angle of Light Ray given Uncertainty in Momentum?

Angle of Light Ray given Uncertainty in Momentum calculator uses Theta given UM = asin((Uncertainty in Momentum*Wavelength of Light)/(2*[hP])) to calculate the Theta given UM, The Angle of light ray given uncertainty in momentum can be defined as the figure formed by two rays meeting at a common endpoint. Theta given UM is denoted by θ_UM symbol.

How to calculate Angle of Light Ray given Uncertainty in Momentum using this online calculator? To use this online calculator for Angle of Light Ray given Uncertainty in Momentum, enter Uncertainty in Momentum (Δp) & Wavelength of Light (λ_light) and hit the calculate button. Here is how the Angle of Light Ray given Uncertainty in Momentum calculation can be explained with given input values -> 260.3778 = asin((105*1E-36)/(2*[hP])).

FAQ

What is Angle of Light Ray given Uncertainty in Momentum?

The Angle of light ray given uncertainty in momentum can be defined as the figure formed by two rays meeting at a common endpoint and is represented as θ_UM = asin((Δp*λ_light)/(2*[hP])) or Theta given UM = asin((Uncertainty in Momentum*Wavelength of Light)/(2*[hP])). Uncertainty in Momentum is the accuracy of the momentum of particle & Wavelength of Light is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in a vacuum or along a medium.

How to calculate Angle of Light Ray given Uncertainty in Momentum?

The Angle of light ray given uncertainty in momentum can be defined as the figure formed by two rays meeting at a common endpoint is calculated using Theta given UM = asin((Uncertainty in Momentum*Wavelength of Light)/(2*[hP])). To calculate Angle of Light Ray given Uncertainty in Momentum, you need Uncertainty in Momentum (Δp) & Wavelength of Light (λ_light). With our tool, you need to enter the respective value for Uncertainty in Momentum & Wavelength of Light 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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