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Wavelength Formula:
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The wavelength formula λ = h·c/E calculates the wavelength of a photon based on its energy, where h is Planck's constant, c is the speed of light, and E is the energy of the photon. This formula is derived from the relationship between energy and frequency in quantum mechanics.
The calculator uses the wavelength formula:
Where:
Explanation: This formula calculates the wavelength of electromagnetic radiation based on the energy of individual photons.
Details: Calculating wavelength from energy is essential in quantum mechanics, spectroscopy, and various fields of physics where the properties of electromagnetic radiation need to be determined.
Tips: Enter Planck's constant in J·s, speed of light in m/s, and energy in joules. All values must be positive numbers.
Q1: What is Planck's constant?
A: Planck's constant (6.626 × 10⁻³⁴ J·s) is a fundamental physical constant that relates the energy of a photon to its frequency.
Q2: Why is the speed of light constant?
A: The speed of light in vacuum (3 × 10⁸ m/s) is a fundamental constant of nature and is the same for all observers regardless of their motion.
Q3: What types of radiation can this formula calculate?
A: This formula can calculate the wavelength of any electromagnetic radiation, from radio waves to gamma rays, based on photon energy.
Q4: How does wavelength relate to energy?
A: Wavelength and energy are inversely proportional - higher energy photons have shorter wavelengths, and lower energy photons have longer wavelengths.
Q5: Can this formula be used for particles other than photons?
A: For massive particles, the de Broglie wavelength formula (λ = h/p) should be used instead, where p is the momentum of the particle.