1. What Is The Frequency Formula?

The frequency formula calculates the frequency of a photon from its energy using Planck's constant. This relationship is fundamental in quantum mechanics and electromagnetic theory.

2. How Does The Calculator Work?

The calculator uses the frequency formula:

Where:

• \( f \) — Frequency (Hz)
• \( E \) — Energy (J)
• \( h \) — Planck's constant (6.626 × 10⁻³⁴ J·s)

Explanation: This formula directly relates the energy of a photon to its frequency through Planck's constant, a fundamental relationship in quantum physics.

3. Importance Of Frequency Calculation

Details: Calculating frequency from energy is essential in spectroscopy, quantum mechanics, photonics, and understanding the electromagnetic spectrum. It helps determine the properties of light and other electromagnetic radiation.

4. Using The Calculator

Tips: Enter energy in joules (J). The value must be positive and 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: Can this formula be used for all types of electromagnetic radiation?
A: Yes, this formula applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.

Q3: What are typical energy values for visible light?
A: Visible light photons have energies ranging from approximately 3.1 × 10⁻¹⁹ J (red light) to 4.1 × 10⁻¹⁹ J (violet light).

Q4: How is this related to wavelength?
A: Frequency can be converted to wavelength using the formula λ = c/f, where c is the speed of light (3 × 10⁸ m/s).

Q5: Why is the frequency value so large for small energy inputs?
A: Because Planck's constant is extremely small (6.626 × 10⁻³⁴ J·s), even tiny amounts of energy correspond to very high frequencies.