Home
Back
Wavelength Formula:
| From: | To: |
The wavelength from energy formula calculates the wavelength of electromagnetic radiation based on its energy using Planck's constant and the speed of light. This relationship is fundamental in quantum mechanics and spectroscopy.
The calculator uses the wavelength formula:
Where:
Explanation: This formula demonstrates the inverse relationship between the energy of a photon and its wavelength - higher energy photons have shorter wavelengths.
Details: Calculating wavelength from energy is crucial in various fields including spectroscopy, quantum physics, photochemistry, and telecommunications for understanding electromagnetic radiation properties.
Tips: Enter energy in joules (J). The value must be positive and greater than zero. The result will be displayed in meters (m).
Q1: What are the typical energy values for visible light?
A: Visible light photons have energies ranging from approximately 3.1 × 10⁻¹⁹ J (red light) to 4.9 × 10⁻¹⁹ J (violet light).
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: How does wavelength relate to frequency?
A: Wavelength and frequency are inversely related through the equation \( c = \lambda \cdot \nu \), where \( \nu \) is frequency and \( c \) is the speed of light.
Q4: What are the common units for wavelength?
A: While meters are the SI unit, wavelengths are often expressed in nanometers (nm) for visible light, micrometers (μm) for infrared, or angstroms (Å) for X-rays.
Q5: Why is Planck's constant important in this calculation?
A: Planck's constant relates the energy of a photon to its frequency (\( E = h \cdot \nu \)), making it fundamental to quantum mechanical descriptions of light.