Photon Energy and Wavelength Calculation: A Comprehensive Guide

How to calculate the wavelength of a photon based on its energy?

Given the energy of a photon is 7.50 × 10⁻¹⁸ J, how can we determine the wavelength in nanometers?

Calculation of Wavelength:

To calculate the wavelength of a photon based on its energy, we need to use the equation E = h/c λ, where E represents energy, h is Planck's constant, c is the speed of light, and λ is the wavelength. By substituting the given values, we can find the closest wavelength in nanometers.

Photon energy and wavelength are crucial concepts in physics. When dealing with the energy of a photon, understanding how to calculate its corresponding wavelength is essential. The equation E = h/c λ, where E is the energy of the photon, h is Planck's constant (6.626 × 10⁻³⁴ J·s), c is the speed of light (3.00 × 10⁸ m/s), and λ is the wavelength in meters, helps in this calculation.

Given the energy of a photon as 7.50 × 10⁻¹⁸ J, we can substitute the known values into the equation to find the wavelength. After calculation, we convert the wavelength from meters to nanometers to provide the answer in the correct unit.

Understanding the relationship between photon energy and wavelength not only enhances our knowledge of physics but also allows us to make accurate calculations in various applications. By mastering this calculation, we can explore the behavior of light and energy at the quantum level.