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Energy Of A Photon Calculator Using Wavelength

Photon Energy Equation:

\[ E = \frac{h c}{\lambda} \]

meters

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1. What is the Photon Energy Equation?

The photon energy equation calculates the energy of a photon using its wavelength. This fundamental physics equation relates the energy of electromagnetic radiation to its wavelength through Planck's constant and the speed of light.

2. How Does the Calculator Work?

The calculator uses the photon energy equation:

\[ E = \frac{h c}{\lambda} \]

Where:

Explanation: The equation shows that photon energy is inversely proportional to its wavelength - shorter wavelengths correspond to higher energy photons.

3. Importance of Photon Energy Calculation

Details: Calculating photon energy is essential in quantum mechanics, spectroscopy, photochemistry, and various applications including laser technology, medical imaging, and solar energy research.

4. Using the Calculator

Tips: Enter the wavelength in meters. For common wavelengths, remember: 1 nanometer = 10⁻⁹ meters, 1 micrometer = 10⁻⁶ meters.

5. Frequently Asked Questions (FAQ)

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 does wavelength affect photon energy?
A: Photon energy is inversely proportional to wavelength. Shorter wavelengths (like gamma rays) have higher energy than longer wavelengths (like radio waves).

Q3: Can I use other units for wavelength?
A: Yes, but you must convert to meters first. The calculator requires wavelength input in meters for proper calculation.

Q4: What is the typical energy range for visible light photons?
A: Visible light photons (400-700 nm) have energies ranging from approximately 1.8 to 3.1 electronvolts (2.9 × 10⁻¹⁹ to 5.0 × 10⁻¹⁹ joules).

Q5: How is this equation used in practical applications?
A: This equation is used in designing optical systems, analyzing spectral data, calculating laser power, and understanding photoelectric effects.

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