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Uncertainty in Position given Angle of Light Ray Calculator

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✖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%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%

✖Position Uncertainty in Rays is the accuracy of the measurement of particle.ⓘ Uncertainty in Position given Angle of Light Ray [Δx_rays]

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Uncertainty in Position given Angle of Light Ray Solution

STEP 0: Pre-Calculation Summary

Formula Used

Position Uncertainty in Rays = Wavelength/sin(Theta)
Δx_rays = λ/sin(θ)
This formula uses 1 Functions, 3 Variables

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

Position Uncertainty in Rays - (Measured in Meter) - Position Uncertainty in Rays is the accuracy of the measurement of particle.
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.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δx_rays = λ/sin(θ) --> 2.1E-09/sin(0.5235987755982)

Evaluating ... ...

Δx_rays = 4.2E-09

STEP 3: Convert Result to Output's Unit

4.2E-09 Meter --> No Conversion Required

FINAL ANSWER

4.2E-09 ≈ 4.2E-9 Meter <-- Position Uncertainty in Rays

(Calculation completed in 00.020 seconds)

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Uncertainty in Position given Angle of Light Ray Formula

LaTeX Go

Position Uncertainty in Rays = Wavelength/sin(Theta)
Δx_rays = λ/sin(θ)

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 Position given Angle of Light Ray?

Uncertainty in Position given Angle of Light Ray calculator uses Position Uncertainty in Rays = Wavelength/sin(Theta) to calculate the Position Uncertainty in Rays, The Uncertainty in position given angle of light ray is defined as the accuracy of the measurement of the particle in Heisenberg's Uncertainty Principle theory. Position Uncertainty in Rays is denoted by Δx_rays symbol.

How to calculate Uncertainty in Position given Angle of Light Ray using this online calculator? To use this online calculator for Uncertainty in Position given Angle of Light Ray, enter Wavelength (λ) & Theta (θ) and hit the calculate button. Here is how the Uncertainty in Position given Angle of Light Ray calculation can be explained with given input values -> 4.2E-9 = 2.1E-09/sin(0.5235987755982).

FAQ

What is Uncertainty in Position given Angle of Light Ray?

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

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

The Uncertainty in position given angle of light ray is defined as the accuracy of the measurement of the particle in Heisenberg's Uncertainty Principle theory is calculated using Position Uncertainty in Rays = Wavelength/sin(Theta). To calculate Uncertainty in Position given Angle of Light Ray, you need Wavelength (λ) & Theta (θ). With our tool, you need to enter the respective value for Wavelength & Theta 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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