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Photon Energy Calculator Using Frequency

Photon Energy Equation:

\[ E = h \times f \]

Hz

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1. What is the Photon Energy Equation?

The photon energy equation E = hf relates the energy of a photon to its frequency, where h is Planck's constant. This fundamental equation in quantum mechanics describes the energy carried by electromagnetic radiation.

2. How Does the Calculator Work?

The calculator uses the photon energy equation:

\[ E = h \times f \]

Where:

Explanation: The energy of a photon is directly proportional to its frequency. Higher frequency photons (like gamma rays) carry more energy than lower frequency photons (like radio waves).

3. Importance of Photon Energy Calculation

Details: Calculating photon energy is essential in quantum physics, spectroscopy, photochemistry, and understanding light-matter interactions. It helps determine if a photon has enough energy to excite electrons or break chemical bonds.

4. Using the Calculator

Tips: Enter the photon frequency in Hertz (Hz). The frequency must be a positive number. The result will be in Joules (J).

5. Frequently Asked Questions (FAQ)

Q1: What is Planck's constant?
A: Planck's constant (h) is a fundamental physical constant that relates the energy of a photon to its frequency. Its value is approximately 6.626 × 10⁻³⁴ J·s.

Q2: How does wavelength relate to this equation?
A: Since frequency (f) and wavelength (λ) are related by f = c/λ (where c is speed of light), the equation can also be written as E = hc/λ.

Q3: What are typical photon energies?
A: Visible light photons have energies around 10⁻¹⁹ J (or a few eV). X-ray photons have energies around 10⁻¹⁵ J (keV range).

Q4: Why is photon energy quantized?
A: According to quantum theory, electromagnetic energy is emitted and absorbed in discrete packets (quanta) called photons, with energy proportional to frequency.

Q5: Can this equation be used for all electromagnetic radiation?
A: Yes, it applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.

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