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Angle of Light Ray given Uncertainty in Momentum Formula

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

θ UM = a \sin (\frac{Δp \cdot λ light}{2 \cdot [hP]})

θ_UM - Theta given UM?Δp - Uncertainty in Momentum?λ_light - Wavelength of Light?[hP] - Planck constant?

Angle of Light Ray given Uncertainty in Momentum Example

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

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

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

4.5445 = a \sin (\frac{105 \cdot 1E-27}{2 \cdot 6.6E-34})

4.5445° = a \sin (\frac{105kg*m/s \cdot 1E-27nm}{2 \cdot 6.6E-34})

4.5445 = a \sin (\frac{105 \cdot 1E-27}{2 \cdot 6.6E-34})

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Angle of Light Ray given Uncertainty in Momentum Solution

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

FIRST Step Consider the formula

θ UM = a \sin (\frac{Δp \cdot λ light}{2 \cdot [hP]})

Next Step Substitute values of Variables

∴

θ UM = a \sin (\frac{105kg*m/s \cdot 1E-27nm}{2 \cdot [hP]})

Next Step Substitute values of Constants

∴

θ UM = a \sin (\frac{105kg*m/s \cdot 1E-27nm}{2 \cdot 6.6E-34})

Next Step Convert Units

∴

θ UM = a \sin (\frac{105kg*m/s \cdot 1E-36m}{2 \cdot 6.6E-34})

Next Step Prepare to Evaluate

∴

θ UM = a \sin (\frac{105 \cdot 1E-36}{2 \cdot 6.6E-34})

Next Step Evaluate

∴

θ UM = 0.0793156215959703rad

Next Step Convert to Output's Unit

∴

θ UM = 4.54445036690664°

LAST Step Rounding Answer

∴

θ UM = 4.5445°

Angle of Light Ray given Uncertainty in Momentum Formula Elements

Variables

Constants

Functions

Theta given UM

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

Symbol: θ_UM

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta given UM

Uncertainty in Momentum

Uncertainty in Momentum is the accuracy of the momentum of particle.

Symbol: Δp

Measurement: MomentumUnit: kg*m/s

Note: Value can be positive or negative.

Formulas to find Uncertainty in Momentum

Wavelength of Light

Wavelength of Light is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in a vacuum or along a medium.

Symbol: λ_light

Measurement: WavelengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Wavelength of Light

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

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 Momentum?

Angle of Light Ray given Uncertainty in Momentum evaluator uses Theta given UM = asin((Uncertainty in Momentum*Wavelength of Light)/(2*[hP])) to evaluate the Theta given UM, The Angle of light ray given uncertainty in momentum can be defined as the figure formed by two rays meeting at a common endpoint. Theta given UM is denoted by θ_UM symbol.

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

FAQs on Angle of Light Ray given Uncertainty in Momentum

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

The formula of Angle of Light Ray given Uncertainty in Momentum is expressed as Theta given UM = asin((Uncertainty in Momentum*Wavelength of Light)/(2*[hP])). Here is an example- 260.3778 = asin((105*1E-36)/(2*[hP])).

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

With Uncertainty in Momentum (Δp) & Wavelength of Light (λ_light) we can find Angle of Light Ray given Uncertainty in Momentum using the formula - Theta given UM = asin((Uncertainty in Momentum*Wavelength of Light)/(2*[hP])). This formula also uses Planck constant and , Sine (sin), Inverse Sine (asin) function(s).

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

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

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

Angle of Light Ray given Uncertainty in Momentum 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 Momentum can be measured.

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Angle of Light Ray given Uncertainty in Momentum Formula

Angle of Light Ray given Uncertainty in Momentum Example

Angle of Light Ray given Uncertainty in Momentum Solution

Angle of Light Ray given Uncertainty in Momentum Formula Elements

Other formulas in Heisenberg's Uncertainty Principle category

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

FAQs on Angle of Light Ray given Uncertainty in Momentum

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