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Uncertainty in Momentum given Angle of Light Ray Calculator

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✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%
✖Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Wavelength [λ]			+10% -10%

✖Momentum of Particle refers to the quantity of motion that an object has. A sports team that is on the move has momentum. If an object is in motion (on the move) then it has momentum.ⓘ Uncertainty in Momentum given Angle of Light Ray [M_u]

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Uncertainty in Momentum given Angle of Light Ray Solution

STEP 0: Pre-Calculation Summary

Formula Used

Momentum of Particle = (2*[hP]*sin(Theta))/Wavelength
M_u = (2*[hP]*sin(θ))/λ
This formula uses 1 Constants, 1 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)

Variables Used

Momentum of Particle - (Measured in Kilogram Meter per Second) - Momentum of Particle refers to the quantity of motion that an object has. A sports team that is on the move has momentum. If an object is in motion (on the move) then it has momentum.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

STEP 1: Convert Input(s) to Base Unit

Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_u = (2*[hP]*sin(θ))/λ --> (2*[hP]*sin(0.5235987755982))/2.1E-09

Evaluating ... ...

M_u = 3.15527144761905E-25

STEP 3: Convert Result to Output's Unit

3.15527144761905E-25 Kilogram Meter per Second --> No Conversion Required

FINAL ANSWER

3.15527144761905E-25 ≈ 3.2E-25 Kilogram Meter per Second <-- Momentum of Particle

(Calculation completed in 00.004 seconds)

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Uncertainty in Momentum given Angle of Light Ray Formula

LaTeX Go

Momentum of Particle = (2*[hP]*sin(Theta))/Wavelength
M_u = (2*[hP]*sin(θ))/λ

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 Uncertainty in Momentum given Angle of Light Ray?

Uncertainty in Momentum given Angle of Light Ray calculator uses Momentum of Particle = (2*[hP]*sin(Theta))/Wavelength to calculate the Momentum of Particle, The Uncertainty in momentum given angle of light ray is defined as the accuracy of the momentum of the particle in Heisenberg's Uncertainty Principle theory. Momentum of Particle is denoted by M_u symbol.

How to calculate Uncertainty in Momentum given Angle of Light Ray using this online calculator? To use this online calculator for Uncertainty in Momentum given Angle of Light Ray, enter Theta (θ) & Wavelength (λ) and hit the calculate button. Here is how the Uncertainty in Momentum given Angle of Light Ray calculation can be explained with given input values -> 3.2E-25 = (2*[hP]*sin(0.5235987755982))/2.1E-09.

FAQ

What is Uncertainty in Momentum given Angle of Light Ray?

The Uncertainty in momentum given angle of light ray is defined as the accuracy of the momentum of the particle in Heisenberg's Uncertainty Principle theory and is represented as M_u = (2*[hP]*sin(θ))/λ or Momentum of Particle = (2*[hP]*sin(Theta))/Wavelength. Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

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

The Uncertainty in momentum given angle of light ray is defined as the accuracy of the momentum of the particle in Heisenberg's Uncertainty Principle theory is calculated using Momentum of Particle = (2*[hP]*sin(Theta))/Wavelength. To calculate Uncertainty in Momentum given Angle of Light Ray, you need Theta (θ) & Wavelength (λ). With our tool, you need to enter the respective value for Theta & Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Momentum of Particle?

In this formula, Momentum of Particle uses Theta & Wavelength. We can use 2 other way(s) to calculate the same, which is/are as follows -

Momentum of Particle = [hP]/Wavelength
Momentum of Particle = [hP]/(4*pi*Uncertainty in Position)

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