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Light Energy Equations:
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Light energy refers to the energy carried by photons, which are the fundamental particles of light. Wavelength is the distance between successive crests of a wave, typically measured in meters. These two properties are fundamentally connected through Planck's equation and the wave equation.
The calculator uses the fundamental equations of quantum physics:
Where:
Explanation: These equations demonstrate the particle-wave duality of light, showing how energy relates to both frequency and wavelength.
Details: Calculating light energy and wavelength is crucial in various fields including quantum mechanics, spectroscopy, telecommunications, and photochemistry. It helps in understanding light-matter interactions and designing optical systems.
Tips: Enter the frequency of light in Hertz (Hz). The calculator will compute both the energy of individual photons and their corresponding wavelength. Frequency must be a positive value.
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: How are frequency and wavelength related?
A: Frequency and wavelength are inversely proportional through the speed of light: \( c = f \lambda \).
Q3: What is the typical energy range 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).
Q4: Can I calculate wavelength from energy directly?
A: Yes, by combining the equations: \( \lambda = \frac{hc}{E} \), where E is the photon energy.
Q5: Why are the energy values so small?
A: The energy values represent individual photons. In practical applications, light consists of vast numbers of photons, making the total energy measurable.