To calculate energy from wavelength or vice versa, you can use the following formulas based on the wave-particle duality of electromagnetic radiation.
To calculate energy from wavelength (E → λ): The energy of a photon can be calculated using the equation: E = (h * c) / λ where: E is the energy of the photon, h is the Planck's constant (approximately 6.626 x 10^-34 joule-seconds), c is the speed of light in a vacuum (approximately 2.998 x 10^8 meters per second), λ is the wavelength of the radiation.
By substituting the values of h, c, and λ into the equation, you can calculate the energy (E) in joules.
To calculate wavelength from energy (λ → E): Rearranging the equation from the previous formula, you can solve for wavelength: λ = (h * c) / E
Substituting the values of h, c, and the given energy (E) in joules into the equation, you can calculate the wavelength (λ) in meters.
Note that these formulas are applicable to electromagnetic radiation, such as light. The energy-wavelength relationship differs for other types of particles, such as matter waves (e.g., electrons), which are described by the de Broglie wavelength equation.