Wavelength of Light Ray given Uncertainty in Position Formula

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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. Check FAQs
λPE=Δxsin(θ)
λPE - Wavelength given PE?Δx - Uncertainty in Position?θ - Theta?

Wavelength of Light Ray given Uncertainty in Position Example

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With units
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Here is how the Wavelength of Light Ray given Uncertainty in Position equation looks like with Values.

Here is how the Wavelength of Light Ray given Uncertainty in Position equation looks like with Units.

Here is how the Wavelength of Light Ray given Uncertainty in Position equation looks like.

1.8E+10Edit=35Editsin(30Edit)
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Wavelength of Light Ray given Uncertainty in Position Solution

Follow our step by step solution on how to calculate Wavelength of Light Ray given Uncertainty in Position?

FIRST Step Consider the formula
λPE=Δxsin(θ)
Next Step Substitute values of Variables
λPE=35msin(30°)
Next Step Convert Units
λPE=35msin(0.5236rad)
Next Step Prepare to Evaluate
λPE=35sin(0.5236)
Next Step Evaluate
λPE=17.5m
Next Step Convert to Output's Unit
λPE=17500000000nm
LAST Step Rounding Answer
λPE=1.8E+10nm

Wavelength of Light Ray given Uncertainty in Position Formula Elements

Variables
Functions
Wavelength given PE
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.
Symbol: λPE
Measurement: WavelengthUnit: nm
Note: Value can be positive or negative.
Uncertainty in Position
Uncertainty in Position is the accuracy of the measurement of particle.
Symbol: Δx
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Theta
Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Symbol: θ
Measurement: AngleUnit: °
Note: Value can be positive or negative.
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.
Syntax: sin(Angle)

Other formulas in Heisenberg's Uncertainty Principle category

​Go Uncertainty in Position given Uncertainty in Velocity
Δxp=[hP]2πMassflight pathΔv
​Go Uncertainty in momentum given uncertainty in velocity
Um=Massflight pathΔv
​Go Uncertainty in Velocity
ΔVu=[hP]4πMassflight pathΔx
​Go Mass in Uncertainty Principle
mUP=[hP]4πΔxΔv

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

Wavelength of Light Ray given Uncertainty in Position evaluator uses Wavelength given PE = Uncertainty in Position*sin(Theta) to evaluate 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 λPE symbol.

How to evaluate Wavelength of Light Ray given Uncertainty in Position using this online evaluator? To use this online evaluator for Wavelength of Light Ray given Uncertainty in Position, enter Uncertainty in Position (Δx) & Theta (θ) and hit the calculate button.

FAQs on Wavelength of Light Ray given Uncertainty in Position

What is the formula to find Wavelength of Light Ray given Uncertainty in Position?
The formula of Wavelength of Light Ray given Uncertainty in Position is expressed as Wavelength given PE = Uncertainty in Position*sin(Theta). Here is an example- 1.8E+19 = 35*sin(0.5235987755982).
How to calculate Wavelength of Light Ray given Uncertainty in Position?
With Uncertainty in Position (Δx) & Theta (θ) we can find Wavelength of Light Ray given Uncertainty in Position using the formula - Wavelength given PE = Uncertainty in Position*sin(Theta). This formula also uses Sine (sin) function(s).
Can the Wavelength of Light Ray given Uncertainty in Position be negative?
Yes, the Wavelength of Light Ray given Uncertainty in Position, measured in Wavelength can be negative.
Which unit is used to measure Wavelength of Light Ray given Uncertainty in Position?
Wavelength of Light Ray given Uncertainty in Position is usually measured using the Nanometer[nm] for Wavelength. Meter[nm], Megameter[nm], Kilometer[nm] are the few other units in which Wavelength of Light Ray given Uncertainty in Position can be measured.
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