Calculate the Energy of a Photon

How can we calculate the energy of a photon with a wavelength of 387 nm?

What formula should be used to determine the energy of the photon?

Calculating the Energy of a Photon

To calculate the energy of a photon with a given wavelength of 387 nm, we can use the formula E = hc/λ, where E represents the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength.

When determining the energy of a photon, it is essential to understand the relationship between energy, wavelength, Planck's constant, and the speed of light. By utilizing the formula E = hc/λ, we can calculate the energy value of the photon based on its wavelength.

Firstly, Planck's constant (h) is a fundamental constant in quantum mechanics and is equal to 6.626 x 10^(-34) Joule-seconds. The speed of light (c) is approximately 2.998 x 10^8 meters per second.

Given the wavelength of 387 nm, which is equivalent to 387 x 10^(-9) meters, we can substitute the values into the formula E = (6.626 x 10^(-34) Joule-seconds) x (2.998 x 10^8 meters per second) / (387 x 10^(-9) meters) to determine the energy of the photon.

By following the calculation steps, we can accurately find out the energy value of the photon based on the given wavelength. Understanding the relationship between energy and wavelength is crucial in the field of quantum physics and photonics.