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Angle of Light Ray given Uncertainty in Position Formula

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Theta given UP is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. Check FAQs

θ UP = a \sin (\frac{λ}{Δx})

θ_UP - Theta given UP?λ - Wavelength?Δx - Uncertainty in Position?

Angle of Light Ray given Uncertainty in Position Example

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

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

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

3.4E-9 = a \sin (\frac{2.1}{35})

3.4E-9° = a \sin (\frac{2.1nm}{35m})

3.4E-9 = a \sin (\frac{2.1}{35})

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Heisenberg's Uncertainty Principle » fx Angle of Light Ray given Uncertainty in Position

Angle of Light Ray given Uncertainty in Position Solution

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

FIRST Step Consider the formula

θ UP = a \sin (\frac{λ}{Δx})

Next Step Substitute values of Variables

∴

θ UP = a \sin (\frac{2.1nm}{35m})

Next Step Convert Units

∴

θ UP = a \sin (\frac{2.1E-9m}{35m})

Next Step Prepare to Evaluate

∴

θ UP = a \sin (\frac{2.1E-9}{35})

Next Step Evaluate

∴

θ UP = 6E-11rad

Next Step Convert to Output's Unit

∴

θ UP = 3.43774677078559E-09°

LAST Step Rounding Answer

∴

θ UP = 3.4E-9°

Angle of Light Ray given Uncertainty in Position Formula Elements

Variables

Functions

Theta given UP

Theta given UP is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ_UP

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta given UP

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.

Formulas to find Wavelength

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.

Formulas to find Uncertainty in Position

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other formulas in Heisenberg's Uncertainty Principle category

Go Uncertainty in Position given Uncertainty in Velocity

Δx p = \frac{[hP]}{2 \cdot π \cdot Mass flight path \cdot Δv}

Go Uncertainty in momentum given uncertainty in velocity

Um = Mass flight path \cdot Δv

Go Uncertainty in Velocity

ΔV u = \frac{[hP]}{4 \cdot π \cdot Mass flight path \cdot Δx}

Go Mass in Uncertainty Principle

m UP = \frac{[hP]}{4 \cdot π \cdot Δx \cdot Δv}

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

Angle of Light Ray given Uncertainty in Position evaluator uses Theta given UP = asin(Wavelength/Uncertainty in Position) to evaluate the Theta given UP, The Angle of light ray given uncertainty in position can be defined as the figure formed by two rays meeting at a common endpoint. Theta given UP is denoted by θ_UP symbol.

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

FAQs on Angle of Light Ray given Uncertainty in Position

What is the formula to find Angle of Light Ray given Uncertainty in Position?

The formula of Angle of Light Ray given Uncertainty in Position is expressed as Theta given UP = asin(Wavelength/Uncertainty in Position). Here is an example- 2E-7 = asin(2.1E-09/35).

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

With Wavelength (λ) & Uncertainty in Position (Δx) we can find Angle of Light Ray given Uncertainty in Position using the formula - Theta given UP = asin(Wavelength/Uncertainty in Position). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

Can the Angle of Light Ray given Uncertainty in Position be negative?

Yes, the Angle of Light Ray given Uncertainty in Position, measured in Angle can be negative.

Which unit is used to measure Angle of Light Ray given Uncertainty in Position?

Angle of Light Ray given Uncertainty in Position is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Light Ray given Uncertainty in Position can be measured.

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Angle of Light Ray given Uncertainty in Position Formula

Angle of Light Ray given Uncertainty in Position Example

Angle of Light Ray given Uncertainty in Position Solution

Angle of Light Ray given Uncertainty in Position Formula Elements

Other formulas in Heisenberg's Uncertainty Principle category

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

FAQs on Angle of Light Ray given Uncertainty in Position

Variable Name