Question

The most prominent line in the spectrum of magnesium is 285.2 nm. Other lines are found at 383.8 and 518.4 nm.

What is the energy of 1 photon of the light with the wavelength of the most energetic line?

Answer 1

To find the energy of one photon with the wavelength of the most energetic line in the spectrum of magnesium, we can use the equation E = hc/λ, where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of the light.

Step-by-step explanation:

To find the energy of one photon with the wavelength of the most energetic line in the spectrum of magnesium, we can use the equation E = hc/λ, where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J·s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength of the light.

Converting the wavelength of the most energetic line to meters, we have λ = 285.2 nm = 285.2 x 10^-9 m. Plugging this value into the equation, we get:

E = (6.626 x 10^-34 J·s) x (3.00 x 10^8 m/s) / (285.2 x 10^-9 m)

Solving this equation gives us the energy of one photon of the light with the wavelength of the most energetic line in the spectrum of magnesium.