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Frequency of a Photon Calculator with Constant

Frequency Equation:

\[ f = \frac{E}{h} \]

J
J·s

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1. What is the Frequency of a Photon?

The frequency of a photon is determined by its energy and Planck's constant. This relationship is fundamental in quantum mechanics and describes the wave-particle duality of light.

2. How Does the Calculator Work?

The calculator uses the frequency equation:

\[ f = \frac{E}{h} \]

Where:

Explanation: The equation shows the direct relationship between a photon's energy and its frequency, with Planck's constant as the proportionality constant.

3. Importance of Frequency Calculation

Details: Calculating photon frequency is essential in quantum physics, spectroscopy, and understanding electromagnetic radiation across the spectrum from radio waves to gamma rays.

4. Using the Calculator

Tips: Enter the photon energy in joules and Planck's constant in J·s (default value provided). Both values must be positive numbers.

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 frequency relate to wavelength?
A: Frequency and wavelength are related by the speed of light: \( c = \lambda \times f \), where c is speed of light and λ is wavelength.

Q3: What are typical photon frequencies?
A: Visible light photons have frequencies around 4.3-7.5 × 10¹⁴ Hz, while radio wave photons can be as low as 3 kHz.

Q4: Why is this calculation important?
A: It's fundamental for understanding quantum phenomena, designing lasers, analyzing atomic spectra, and many technologies like fiber optics.

Q5: Can I calculate energy from frequency?
A: Yes, by rearranging the equation: \( E = h \times f \).

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