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Calculate Energy Of A Photon Given Frequency

Planck-Einstein Relation:

\[ E = h \times f \]

Hz

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1. What is the Planck-Einstein Relation?

The Planck-Einstein relation describes the energy of a photon in terms of its frequency. It states that the energy (E) of a photon is equal to Planck's constant (h) multiplied by the frequency (f) of the photon.

2. How Does the Calculator Work?

The calculator uses the Planck-Einstein relation:

\[ E = h \times f \]

Where:

Explanation: This fundamental equation in quantum mechanics relates the particle nature of light (photons) to its wave nature (frequency).

3. Importance of Photon Energy Calculation

Details: Calculating photon energy is essential in various fields including quantum physics, spectroscopy, photochemistry, and optical engineering. It helps determine the energy required for electronic transitions and chemical reactions.

4. Using the Calculator

Tips: Enter the frequency in Hertz (Hz). The value must be positive and greater than zero. The calculator uses Planck's constant (6.626 × 10⁻³⁴ J·s) for the calculation.

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: Can I calculate energy from wavelength instead?
A: Yes, using the relation E = h × c / λ, where c is the speed of light and λ is the wavelength.

Q3: What are typical photon energy values?
A: Photon energies range from about 10⁻²⁵ J for radio waves to 10⁻¹⁵ J for gamma rays, though most calculations involve very small numbers.

Q4: Why are the energy values so small?
A: Planck's constant is extremely small (6.626 × 10⁻³⁴), so even high-frequency photons have very small energies when measured in joules.

Q5: Can this calculator handle very high frequencies?
A: Yes, but extremely high frequencies may approach computational limits. For practical purposes, most frequencies encountered in physics are within the calculator's range.

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