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Frequency To Joules Formula:
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The Frequency To Joules formula calculates the energy of a photon based on its frequency. This fundamental equation in quantum mechanics demonstrates the particle-wave duality of light.
The calculator uses the formula:
Where:
Explanation: This equation shows the direct proportionality between a photon's energy and 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 at the atomic level.
Tips: Enter the frequency value in hertz (Hz). The frequency must be a positive value greater than zero for accurate calculation.
Q1: What is Planck's constant?
A: Planck's constant (6.626 × 10⁻³⁴ J·s) is a fundamental physical constant that relates the energy of a photon to its frequency.
Q2: Can this formula be used for all electromagnetic radiation?
A: Yes, this formula applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.
Q3: How does wavelength relate to this calculation?
A: Energy can also be calculated using wavelength with the formula \( J = \frac{h \times c}{\lambda} \), where c is the speed of light and λ is wavelength.
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: Why are the energy values so small?
A: Individual photons carry extremely small amounts of energy, which is why we typically measure light energy in terms of many photons rather than single particles.