1. What is Energy of Each Quanta?

The energy of each quanta represents the discrete energy packets associated with electromagnetic radiation. According to quantum theory, energy is quantized and proportional to the frequency of radiation, with Planck's constant as the proportionality factor.

2. How Does the Calculator Work?

The calculator uses the fundamental quantum equation:

Where:

• \( E_q \) — Energy of each quanta (Joules)
• \( h \) — Planck's constant (6.626070040 × 10^-34 J·s)
• \( \nu \) — Frequency of radiation (Hertz)

Explanation: This equation demonstrates the particle nature of electromagnetic radiation, where energy is carried in discrete packets called quanta or photons.

3. Importance of Energy Calculation

Details: Calculating the energy of quanta is essential in quantum mechanics, photochemistry, spectroscopy, and understanding various phenomena like photoelectric effect, atomic spectra, and laser technology.

4. Using the Calculator

Tips: Enter the frequency value in Hertz (Hz). The frequency must be a positive value greater than zero for accurate 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, with a value of approximately 6.626 × 10^-34 J·s.

Q2: How is this related to photon energy?
A: The energy of each quanta calculation gives the energy of a single photon of electromagnetic radiation at the specified frequency.

Q3: What are typical energy values for visible light?
A: For visible light (frequency ~5 × 10¹⁴ Hz), the energy per quanta is approximately 3.3 × 10^-19 Joules.

Q4: Can this formula be used for all electromagnetic radiation?
A: Yes, this formula applies to all frequencies of electromagnetic radiation, from radio waves to gamma rays.

Q5: How does wavelength relate to this calculation?
A: Since frequency and wavelength are related by the speed of light (c = νλ), the energy can also be expressed as E_q = hc/λ.