1. What is the Wavelength Formula?

The wavelength formula calculates the wavelength of electromagnetic radiation from its energy using Planck's constant and the speed of light. This relationship is fundamental in quantum mechanics and spectroscopy.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

Where:

• \( \lambda \) — Wavelength in nanometers (nm)
• \( h \) — Planck's constant (6.626 × 10⁻³⁴ J s)
• \( c \) — Speed of light (3 × 10⁸ m/s)
• \( E \) — Energy in joules (J)

Explanation: The formula converts energy to wavelength using fundamental physical constants, with the result scaled to nanometers for practical use.

3. Importance of Wavelength Calculation

Details: Calculating wavelength from energy is essential in spectroscopy, quantum physics, photochemistry, and various applications involving electromagnetic radiation analysis.

4. Using the Calculator

Tips: Enter energy value in joules. The value must be positive and non-zero. The calculator will compute the corresponding wavelength in nanometers.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between energy and wavelength?
A: Energy and wavelength are inversely proportional - higher energy corresponds to shorter wavelength, and vice versa.

Q2: Why convert to nanometers?
A: Nanometers are a convenient unit for measuring wavelengths of visible light and other electromagnetic radiation used in many scientific applications.

Q3: Can this formula be used for all types of radiation?
A: Yes, this formula applies to all electromagnetic radiation, from radio waves to gamma rays.

Q4: What are typical energy values for visible light?
A: Visible light photons typically have energies between 1.6-3.3 eV (2.6-5.3 × 10⁻¹⁹ J), corresponding to wavelengths of 380-750 nm.

Q5: How accurate are the physical constants used?
A: The values used (h = 6.626e-34 J s, c = 3e8 m/s) are standard approximations sufficient for most practical calculations.