Wavelength of Particle given Momentum Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wavelength given Momentum = [hP]/Momentum
λmomentum = [hP]/P
This formula uses 1 Constants, 2 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
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.
Momentum - (Measured in Kilogram Meter per Second) - Momentum is a physics term, it refers to the quantity of motion that an object has. A sports team that is on the move has momentum. If an object is in motion (on the move) then it has momentum.
STEP 1: Convert Input(s) to Base Unit
Momentum: 25 Kilogram Meter per Second --> 25 Kilogram Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λmomentum = [hP]/P --> [hP]/25
Evaluating ... ...
λmomentum = 2.650428016E-35
STEP 3: Convert Result to Output's Unit
2.650428016E-35 Meter --> No Conversion Required
FINAL ANSWER
2.650428016E-35 2.7E-35 Meter <-- Wavelength given Momentum
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Verified by Pragati Jaju
College Of Engineering (COEP), Pune
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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 of Particle given Momentum Formula

Wavelength given Momentum = [hP]/Momentum
λmomentum = [hP]/P

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 of Particle given Momentum?

Wavelength of Particle given Momentum calculator uses Wavelength given Momentum = [hP]/Momentum to calculate the Wavelength given Momentum, The Wavelength of particle given 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 λmomentum symbol.

How to calculate Wavelength of Particle given Momentum using this online calculator? To use this online calculator for Wavelength of Particle given Momentum, enter Momentum (P) and hit the calculate button. Here is how the Wavelength of Particle given Momentum calculation can be explained with given input values -> 2.7E-35 = [hP]/25.

FAQ

What is Wavelength of Particle given Momentum?
The Wavelength of particle given momentum is defined as the uncertainty in wavelength/position of particle in relation with the momentum of the particle and is represented as λmomentum = [hP]/P or Wavelength given Momentum = [hP]/Momentum. Momentum is a physics term, it refers to the quantity of motion that an object has. A sports team that is on the move has momentum. If an object is in motion (on the move) then it has momentum.
How to calculate Wavelength of Particle given Momentum?
The Wavelength of particle given 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 = [hP]/Momentum. To calculate Wavelength of Particle given Momentum, you need Momentum (P). With our tool, you need to enter the respective value for 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 Momentum. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wavelength given Momentum = (2*[hP]*sin(Theta))/Uncertainty in Momentum
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