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Calculating Energy Of A Photon Practice Problems

Photon Energy Equation:

\[ E = h \times f \]

Hz

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1. What is Photon Energy?

Photon energy is the energy carried by a single photon, which is directly proportional to its electromagnetic frequency. The energy of a photon determines its behavior in various physical phenomena, including photoelectric effect and quantum mechanics.

2. How Does the Calculator Work?

The calculator uses the photon energy equation:

\[ E = h \times f \]

Where:

Explanation: The equation shows that photon energy increases linearly with frequency. Higher frequency photons (like gamma rays) carry more energy than lower frequency photons (like radio waves).

3. Importance of Photon Energy Calculation

Details: Calculating photon energy is essential in quantum mechanics, spectroscopy, photochemistry, and understanding electromagnetic radiation interactions with matter. It's fundamental to technologies like lasers, solar cells, and medical imaging.

4. Using the Calculator

Tips: Enter the frequency in hertz (Hz). The frequency must be a positive value. The calculator will compute the photon energy using Planck's constant.

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 is photon energy related to wavelength?
A: Photon energy can also be calculated using wavelength: E = hc/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 10⁻¹³ J for gamma rays, depending on frequency.

Q4: Why is photon energy quantized?
A: Photon energy is quantized because electromagnetic energy is emitted and absorbed in discrete packets called photons, each carrying a specific amount of energy.

Q5: How is photon energy measured experimentally?
A: Photon energy can be measured through various methods including photoelectric effect experiments, spectroscopy, and calorimetry techniques.

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