Wavelength given Uncertainty in Momentum Calculator

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Heisenberg's Uncertainty Principle

Bohr's Atomic Model

Compton Effect

De Broglie Hypothesis

Distance of Closest Approach

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

Structure of Atom

✖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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Formula

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Wavelength given Uncertainty in Momentum

Formula

`"λ"_{"momentum"} = (2*"[hP]"*sin("θ"))/"Δp"`

Example

`"6.3E^-36m"=(2*"[hP]"*sin("30°"))/"105kg*m/s"`

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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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National Institute of Information Technology (NIIT), Neemrana

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< 23 Heisenberg's Uncertainty Principle Calculators

Mass b of Microscopic Particle in Uncertainty Relation

Go Mass b given UP = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Uncertainty in Position b*Uncertainty in Velocity b)

Uncertainty in Velocity of Particle a

Go Uncertainty in Velocity given a = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Mass a*Uncertainty in position a)

Uncertainty in Velocity of Particle b

Go Uncertainty in Velocity given b = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Mass b*Uncertainty in Position b)

Mass of Microscopic Particle in Uncertainty Relation

Go Mass in UR = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Uncertainty in position a*Uncertainty in velocity a)

Uncertainty in Position of Particle a

Go Uncertainty in position a = (Mass b*Uncertainty in Position b*Uncertainty in Velocity b)/(Mass a*Uncertainty in velocity a)

Uncertainty in Position of Particle b

Go Uncertainty in Position b = (Mass a*Uncertainty in position a*Uncertainty in velocity a)/(Mass b*Uncertainty in Velocity b)

Angle of Light Ray given Uncertainty in Momentum

Go Theta given UM = asin((Uncertainty in Momentum*Wavelength of Light)/(2*[hP]))

Mass in Uncertainty Principle

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

Wavelength given Uncertainty in Momentum

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

Uncertainty in Position given Uncertainty in Velocity

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

Uncertainty in Velocity

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

Uncertainty in Momentum given Angle of Light Ray

Go Momentum of Particle = (2*[hP]*sin(Theta))/Wavelength

Uncertainty in Position

Go Position Uncertainty = [hP]/(4*pi*Uncertainty in Momentum)

Uncertainty in Momentum

Go Momentum of Particle = [hP]/(4*pi*Uncertainty in Position)

Uncertainty in Energy

Go Uncertainty in Energy = [hP]/(4*pi*Uncertainty in Time)

Angle of Light Ray given Uncertainty in Position

Go Theta given UP = asin(Wavelength/Uncertainty in Position)

Wavelength of Light Ray given Uncertainty in Position

Go Wavelength given PE = Uncertainty in Position*sin(Theta)

Uncertainty in Time

Go Time Uncertainty = [hP]/(4*pi*Uncertainty in Energy)

Uncertainty in Position given Angle of Light Ray

Go Position Uncertainty in Rays = Wavelength/sin(Theta)

Early Form of Uncertainty Principle

Go Early Uncertainty in Momentum = [hP]/Uncertainty in Position

Uncertainty in momentum given uncertainty in velocity

Go Uncertainity of Momentum = Mass*Uncertainty in Velocity

Wavelength of Particle given Momentum

Go Wavelength given Momentum = [hP]/Momentum

Momentum of Particle

Go Momentum of Particle = [hP]/Wavelength

Wavelength given Uncertainty in Momentum Formula

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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