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Wavelength of Light Ray given Uncertainty in Position Calculator

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✖Uncertainty in Position is the accuracy of the measurement of particle.ⓘ Uncertainty in Position [Δx]			+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%

✖Wavelength given PE is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Wavelength of Light Ray given Uncertainty in Position [λ_PE]

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Wavelength of Light Ray given Uncertainty in Position Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength given PE = Uncertainty in Position*sin(Theta)
λ_PE = Δx*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

Wavelength given PE - (Measured in Meter) - Wavelength given PE is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Uncertainty in Position - (Measured in Meter) - Uncertainty in Position is the accuracy of the measurement of particle.
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

Uncertainty in Position: 35 Meter --> 35 Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_PE = Δx*sin(θ) --> 35*sin(0.5235987755982)

Evaluating ... ...

λ_PE = 17.5

STEP 3: Convert Result to Output's Unit

17.5 Meter -->17500000000 Nanometer (Check conversion here)

FINAL ANSWER

17500000000 ≈ 1.8E+10 Nanometer <-- Wavelength given PE

(Calculation completed in 00.004 seconds)

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Wavelength of Light Ray given Uncertainty in Position Formula

LaTeX Go

Wavelength given PE = Uncertainty in Position*sin(Theta)
λ_PE = Δx*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 Wavelength of Light Ray given Uncertainty in Position?

Wavelength of Light Ray given Uncertainty in Position calculator uses Wavelength given PE = Uncertainty in Position*sin(Theta) to calculate the Wavelength given PE, The Wavelength of light ray given uncertainty in position is the distance between the two successive crests or troughs of the light wave. Wavelength given PE is denoted by λ_PE symbol.

How to calculate Wavelength of Light Ray given Uncertainty in Position using this online calculator? To use this online calculator for Wavelength of Light Ray given Uncertainty in Position, enter Uncertainty in Position (Δx) & Theta (θ) and hit the calculate button. Here is how the Wavelength of Light Ray given Uncertainty in Position calculation can be explained with given input values -> 1.8E+19 = 35*sin(0.5235987755982).

FAQ

What is Wavelength of Light Ray given Uncertainty in Position?

The Wavelength of light ray given uncertainty in position is the distance between the two successive crests or troughs of the light wave and is represented as λ_PE = Δx*sin(θ) or Wavelength given PE = Uncertainty in Position*sin(Theta). Uncertainty in Position is the accuracy of the measurement of particle & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

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

The Wavelength of light ray given uncertainty in position is the distance between the two successive crests or troughs of the light wave is calculated using Wavelength given PE = Uncertainty in Position*sin(Theta). To calculate Wavelength of Light Ray given Uncertainty in Position, you need Uncertainty in Position (Δx) & Theta (θ). With our tool, you need to enter the respective value for Uncertainty in Position & 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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