Uncertainty in Position given Angle of Light Ray Formula

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Position Uncertainty in Rays is the accuracy of the measurement of particle. Check FAQs
Δxrays=λsin(θ)
Δxrays - Position Uncertainty in Rays?λ - Wavelength?θ - Theta?

Uncertainty in Position given Angle of Light Ray Example

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

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

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

4.2E-9Edit=2.1Editsin(30Edit)
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Uncertainty in Position given Angle of Light Ray Solution

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

FIRST Step Consider the formula
Δxrays=λsin(θ)
Next Step Substitute values of Variables
Δxrays=2.1nmsin(30°)
Next Step Convert Units
Δxrays=2.1E-9msin(0.5236rad)
Next Step Prepare to Evaluate
Δxrays=2.1E-9sin(0.5236)
Next Step Evaluate
Δxrays=4.2E-09m
LAST Step Rounding Answer
Δxrays=4.2E-9m

Uncertainty in Position given Angle of Light Ray Formula Elements

Variables
Functions
Position Uncertainty in Rays
Position Uncertainty in Rays is the accuracy of the measurement of particle.
Symbol: Δxrays
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Wavelength
Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Symbol: λ
Measurement: WavelengthUnit: nm
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 Uncertainty in Position given Angle of Light Ray?

Uncertainty in Position given Angle of Light Ray evaluator uses Position Uncertainty in Rays = Wavelength/sin(Theta) to evaluate 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 Δxrays symbol.

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

FAQs on Uncertainty in Position given Angle of Light Ray

What is the formula to find Uncertainty in Position given Angle of Light Ray?
The formula of Uncertainty in Position given Angle of Light Ray is expressed as Position Uncertainty in Rays = Wavelength/sin(Theta). Here is an example- 4.2E-9 = 2.1E-09/sin(0.5235987755982).
How to calculate Uncertainty in Position given Angle of Light Ray?
With Wavelength (λ) & Theta (θ) we can find Uncertainty in Position given Angle of Light Ray using the formula - Position Uncertainty in Rays = Wavelength/sin(Theta). This formula also uses Sine (sin) function(s).
Can the Uncertainty in Position given Angle of Light Ray be negative?
Yes, the Uncertainty in Position given Angle of Light Ray, measured in Length can be negative.
Which unit is used to measure Uncertainty in Position given Angle of Light Ray?
Uncertainty in Position given Angle of Light Ray is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Uncertainty in Position given Angle of Light Ray can be measured.
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