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How To Calculate Momentum Of Photon

Photon Momentum Formula:

\[ p = \frac{E}{c} \]

J
m/s

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1. What is Photon Momentum?

Photon momentum is a fundamental property of light particles (photons) that describes their motion and interaction with matter. Despite having no mass, photons carry momentum due to their wave-particle duality and energy content.

2. How Does the Calculator Work?

The calculator uses the photon momentum formula:

\[ p = \frac{E}{c} \]

Where:

Explanation: This formula derives from the relativistic energy-momentum relation and demonstrates that even massless particles can carry momentum proportional to their energy.

3. Importance of Photon Momentum Calculation

Details: Calculating photon momentum is essential in quantum mechanics, optics, and astrophysics. It explains phenomena like radiation pressure, Compton scattering, and the operation of solar sails in space exploration.

4. Using the Calculator

Tips: Enter photon energy in joules and speed of light in m/s (default value is 299,792,458 m/s). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How can photons have momentum without mass?
A: In relativistic physics, momentum isn't solely dependent on mass. Photons carry momentum through their energy and wave properties, as described by quantum mechanics.

Q2: What are typical photon momentum values?
A: Photon momentum values are extremely small. For example, a visible light photon has momentum around 10⁻²⁷ kg·m/s, which is why we don't feel light pressure in daily life.

Q3: How is photon momentum related to wavelength?
A: Using the relation E = hc/λ, photon momentum can also be expressed as p = h/λ, where h is Planck's constant and λ is wavelength.

Q4: What practical applications use photon momentum?
A: Optical tweezers, laser cooling, solar sails, and various spectroscopic techniques all rely on understanding and utilizing photon momentum.

Q5: Can photon momentum be measured directly?
A: Yes, through techniques like measuring radiation pressure or observing momentum transfer in Compton scattering experiments.

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