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Wavelength given Uncertainty in Momentum Calculator

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✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%
✖Uncertainty in Momentum is the accuracy of the momentum of particle.ⓘ Uncertainty in Momentum [Δp]			+10% -10%

✖Wavelength given Momentum is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Wavelength given Uncertainty in Momentum [λ_momentum]

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Wavelength given Uncertainty in Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength given Momentum = (2*[hP]*sin(Theta))/Uncertainty in Momentum
λ_momentum = (2*[hP]*sin(θ))/Δp
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34

Functions Used

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., sin(Angle)

Variables Used

Wavelength given Momentum - (Measured in Meter) - Wavelength given Momentum is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Uncertainty in Momentum - (Measured in Kilogram Meter per Second) - Uncertainty in Momentum is the accuracy of the momentum of particle.

STEP 1: Convert Input(s) to Base Unit

Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Uncertainty in Momentum: 105 Kilogram Meter per Second --> 105 Kilogram Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_momentum = (2*[hP]*sin(θ))/Δp --> (2*[hP]*sin(0.5235987755982))/105

Evaluating ... ...

λ_momentum = 6.3105428952381E-36

STEP 3: Convert Result to Output's Unit

6.3105428952381E-36 Meter --> No Conversion Required

FINAL ANSWER

6.3105428952381E-36 ≈ 6.3E-36 Meter <-- Wavelength given Momentum

(Calculation completed in 00.004 seconds)

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< Heisenberg's Uncertainty Principle Calculators

Mass in Uncertainty Principle

LaTeX Go Mass in UP = [hP]/(4*pi*Uncertainty in Position*Uncertainty in Velocity)

Uncertainty in Position given Uncertainty in Velocity

LaTeX Go Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity)

Uncertainty in Velocity

LaTeX Go Velocity Uncertainty = [hP]/(4*pi*Mass*Uncertainty in Position)

Uncertainty in momentum given uncertainty in velocity

LaTeX Go Uncertainity of Momentum = Mass*Uncertainty in Velocity

Wavelength given Uncertainty in Momentum Formula

LaTeX Go

Wavelength given Momentum = (2*[hP]*sin(Theta))/Uncertainty in Momentum
λ_momentum = (2*[hP]*sin(θ))/Δp

What is Heisenberg's Uncertainty Principle?

Heisenberg's Uncertainty Principle states that ' It is impossible to determine simultaneously, the exact position as well as momentum of an electron'. It is mathematically possible to express the uncertainty that, Heisenberg concluded, always exists if one attempts to measure the momentum and position of particles. First, we must define the variable “x” as the position of the particle, and define “p” as the momentum of the particle.

Is Heisenberg’s Uncertainty Principle noticeable in All Matter Waves?

Heisenberg’s principle is applicable to all matter waves. The measurement error of any two conjugate properties, whose dimensions happen to be joule sec, like position-momentum, time-energy will be guided by the Heisenberg’s value.
But, it will be noticeable and of significance only for small particles like an electron with very low mass. A bigger particle with heavy mass will show the error to be very small and negligible.

How to Calculate Wavelength given Uncertainty in Momentum?

Wavelength given Uncertainty in Momentum calculator uses Wavelength given Momentum = (2*[hP]*sin(Theta))/Uncertainty in Momentum to calculate the Wavelength given Momentum, The Wavelength given uncertainty in momentum is defined as the uncertainty in wavelength/position of particle in relation with the momentum of the particle. Wavelength given Momentum is denoted by λ_momentum symbol.

How to calculate Wavelength given Uncertainty in Momentum using this online calculator? To use this online calculator for Wavelength given Uncertainty in Momentum, enter Theta (θ) & Uncertainty in Momentum (Δp) and hit the calculate button. Here is how the Wavelength given Uncertainty in Momentum calculation can be explained with given input values -> 6.3E-36 = (2*[hP]*sin(0.5235987755982))/105.

FAQ

What is Wavelength given Uncertainty in Momentum?

The Wavelength given uncertainty in momentum is defined as the uncertainty in wavelength/position of particle in relation with the momentum of the particle and is represented as λ_momentum = (2*[hP]*sin(θ))/Δp or Wavelength given Momentum = (2*[hP]*sin(Theta))/Uncertainty in Momentum. Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & Uncertainty in Momentum is the accuracy of the momentum of particle.

How to calculate Wavelength given Uncertainty in Momentum?

The Wavelength given uncertainty in momentum is defined as the uncertainty in wavelength/position of particle in relation with the momentum of the particle is calculated using Wavelength given Momentum = (2*[hP]*sin(Theta))/Uncertainty in Momentum. To calculate Wavelength given Uncertainty in Momentum, you need Theta (θ) & Uncertainty in Momentum (Δp). With our tool, you need to enter the respective value for Theta & Uncertainty in Momentum and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wavelength given Momentum?

In this formula, Wavelength given Momentum uses Theta & Uncertainty in Momentum. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wavelength given Momentum = [hP]/Momentum

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