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Planck's Equation:
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Planck's equation describes the relationship between the energy of a photon and its frequency. It is a fundamental equation in quantum mechanics that shows energy is quantized and proportional to frequency.
The calculator uses Planck's equation:
Where:
Explanation: The equation shows that the energy of a photon is directly proportional to its frequency, with Planck's constant as the proportionality factor.
Details: Calculating photon energy is essential in quantum mechanics, spectroscopy, photochemistry, and understanding light-matter interactions. It helps determine the energy levels of atomic and molecular transitions.
Tips: Enter frequency in Hertz (Hz). The value must be positive and non-zero. The result will be displayed in Joules (J).
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: Can this calculator be used for all electromagnetic radiation?
A: Yes, Planck's equation applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.
Q3: How is this related to the photoelectric effect?
A: Planck's equation was fundamental to Einstein's explanation of the photoelectric effect, which demonstrated that light behaves as particles (photons) with energy proportional to frequency.
Q4: What are typical energy values for visible light?
A: Visible light photons have energies ranging from approximately 3.1 × 10⁻¹⁹ J (red light) to 4.1 × 10⁻¹⁹ J (violet light).
Q5: Can I calculate wavelength from this equation?
A: Yes, by combining with the wave equation (c = λf), you can calculate energy from wavelength: E = hc/λ, where c is the speed of light.