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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

Δx rays = \frac{λ}{\sin (θ)}

Δx_rays - Position Uncertainty in Rays?λ - Wavelength?θ - Theta?

Uncertainty in Position given Angle of Light Ray Example

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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-9 = \frac{2.1}{\sin (30)}

4.2E-9m = \frac{2.1nm}{\sin (30°)}

4.2E-9 = \frac{2.1}{\sin (30)}

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

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

Δx rays = \frac{λ}{\sin (θ)}

Next Step Substitute values of Variables

∴

Δx rays = \frac{2.1nm}{\sin (30°)}

Next Step Convert Units

∴

Δx rays = \frac{2.1E-9m}{\sin (0.5236rad)}

Next Step Prepare to Evaluate

∴

Δx rays = \frac{2.1E-9}{\sin (0.5236)}

Next Step Evaluate

∴

Δx rays = 4.2E-09m

LAST Step Rounding Answer

∴

Δx rays = 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: Δx_rays

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Position Uncertainty in Rays

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

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.

Formulas to find Theta

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

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 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 Δx_rays 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 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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Uncertainty in Position given Angle of Light Ray Formula

Uncertainty in Position given Angle of Light Ray Example

Uncertainty in Position given Angle of Light Ray Solution

Uncertainty in Position given Angle of Light Ray Formula Elements

Other formulas in Heisenberg's Uncertainty Principle category

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

FAQs on Uncertainty in Position given Angle of Light Ray

Variable Name