Photon's Momentum using Wavelength Solution

STEP 0: Pre-Calculation Summary
Formula Used
Photon's Momentum = [hP]/Wavelength
p = [hP]/λ
This formula uses 1 Constants, 2 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
Variables Used
Photon's Momentum - (Measured in Kilogram Meter per Second) - Photon's Momentum is the quantity of motion that an photon has. Photon or Light indeed carries energy via its momentum despite having no mass.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
STEP 1: Convert Input(s) to Base Unit
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = [hP]/λ --> [hP]/2.1E-09
Evaluating ... ...
p = 3.15527144761905E-25
STEP 3: Convert Result to Output's Unit
3.15527144761905E-25 Kilogram Meter per Second --> No Conversion Required
FINAL ANSWER
3.15527144761905E-25 3.2E-25 Kilogram Meter per Second <-- Photon's Momentum
(Calculation completed in 00.004 seconds)

Credits

Created by Rudrani Tidke
Cummins College of Engineering for Women (CCEW), Pune
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8 Photoelectric Effect Calculators

Stopping Potential
Go Stopping Potential = ([hP]*[c])/(Wavelength*[Charge-e])-Work Function of Surface of Metal/[Charge-e]
Maximum Kinetic Energy of Ejected Photo-Electron
Go Max Kinetic Energy of Ejected Photo-Electron = [hP]*Frequency of Photon-Work Function of Surface of Metal
Photon's Energy using Wavelength
Go Photon Energy = [hP]*[c]/Wavelength
Threshold Frequency in Photoelectric Effect
Go Threshold Frequency = Work Function of Surface of Metal/[hP]
Photon's Energy using Frequency
Go Photon Energy = [hP]*Frequency of Photon
Photon's Momentum using Energy
Go Photon's Momentum = Photon Energy/[c]
Photon's Momentum using Wavelength
Go Photon's Momentum = [hP]/Wavelength
De Broglie Wavelength
Go Wavelength = [hP]/Photon's Momentum

Photon's Momentum using Wavelength Formula

Photon's Momentum = [hP]/Wavelength
p = [hP]/λ

Why Photon have momentum when they do not have mass?

The quantum of EM (Electro-Magnetic) radiation considers a photon has properties analogous to those of particles one can see, such as grains of sand. A photon interacts as a unit in collisions or when absorbed, rather than as an extensive wave. Massive quanta, like electrons, also act like macroscopic particles, because they are the smallest units of matter. Particles carry momentum as well as energy. Despite photons having no mass, there has long been evidence that EM radiation carries momentum. (Maxwell and others who studied EM waves predicted that they would carry momentum.) It is now a well-established fact that photons do have momentum. In fact, photon momentum is suggested by the photoelectric effect, where photons knock electrons out of a substance.

What is the experimental evidence for Photon Momentum?

Some of the earliest direct experimental evidence of this came from scattering of x-ray photons by electrons in substances, named Compton scattering after the American physicist Arthur H. Compton (1892–1962). Compton observed that x rays scattered from materials had a decreased energy and correctly analyzed this as being due to the scattering of photons from electrons. This phenomenon could be handled as a collision between two particles—a photon and an electron at rest in the material. Energy and momentum are conserved in the collision. He won a Nobel Prize in 1929 for the discovery of this scattering, now called the Compton effect, because it helped prove that photon momentum is given by above equation.

How to Calculate Photon's Momentum using Wavelength?

Photon's Momentum using Wavelength calculator uses Photon's Momentum = [hP]/Wavelength to calculate the Photon's Momentum, The Photon's Momentum using Wavelength formula is defined as the quantity of motion that a photon has to knock electrons out of a substance. Photon's Momentum is denoted by p symbol.

How to calculate Photon's Momentum using Wavelength using this online calculator? To use this online calculator for Photon's Momentum using Wavelength, enter Wavelength (λ) and hit the calculate button. Here is how the Photon's Momentum using Wavelength calculation can be explained with given input values -> 3.2E-25 = [hP]/2.1E-09.

FAQ

What is Photon's Momentum using Wavelength?
The Photon's Momentum using Wavelength formula is defined as the quantity of motion that a photon has to knock electrons out of a substance and is represented as p = [hP]/λ or Photon's Momentum = [hP]/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.
How to calculate Photon's Momentum using Wavelength?
The Photon's Momentum using Wavelength formula is defined as the quantity of motion that a photon has to knock electrons out of a substance is calculated using Photon's Momentum = [hP]/Wavelength. To calculate Photon's Momentum using Wavelength, you need Wavelength (λ). With our tool, you need to enter the respective value for Wavelength 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 Photon's Momentum?
In this formula, Photon's Momentum uses Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Photon's Momentum = Photon Energy/[c]
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